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I hope you enjoy editing here and being a [[Wikipedia:Wikipedians|Wikipedian]]! Please [[Wikipedia:Sign your posts on talk pages|sign your name]] on talk pages using four tildes (~&#126;~~); this will automatically produce your name and the date. If you need help, check out [[Wikipedia:Where to ask a question]], ask me on my talk page, or place <code>{&#123;helpme}}</code> on your talk page and someone will show up shortly to answer your questions. Again, welcome!&nbsp; [[User:DV8 2XL|DV8 2XL]] 11:38, 19 November 2005 (UTC)
I hope you enjoy editing here and being a [[Wikipedia:Wikipedians|Wikipedian]]! Please [[Wikipedia:Sign your posts on talk pages|sign your name]] on talk pages using four tildes (~&#126;~~); this will automatically produce your name and the date. If you need help, check out [[Wikipedia:Where to ask a question]], ask me on my talk page, or place <code>{&#123;helpme}}</code> on your talk page and someone will show up shortly to answer your questions. Again, welcome!&nbsp; [[User:DV8 2XL|DV8 2XL]] 11:38, 19 November 2005 (UTC)


== Finding subpages ==
==Subheterodyne==
Thanks for the pointer, but I've never seen "subhetrodyne" used anywhere else in any textbook or other reference material. It gets 0 Google hits (or did the last time I checked, yesterday). I'd prefer to squash this ugly and incorrect coinage as quickly as possible. Wikipedia articles unfortunately gets copied hundreds of times over on the Web and I'd prefer to have them accurate if at all possible. --[[User:Wtshymanski|Wtshymanski]] 14:16, 17 November 2005 (UTC)


Is there any way to list all the subpages of a specific page?


:To find all subpages of [[Manifold]], for instance, go to [[Special:Allpages]] and type "manifold/" in the box labelled "Display all pages starting with:" (I learned this trick from [[User:R.Koot|R. Koot]]) -- [[User:Jitse Niesen|Jitse Niesen]]


== Moved images ==
'''subhetrodyne''' [sic] is <u>not the right spelling</u>, which probably accounts for the 0 hits. But I agree that it is unusual, and I understand your concern, particularly since <u>super</u> does indeed appear to historically derive from <u>super</u>sonic. Or maybe in this century it is time to start putting that archaic modifier to more practical use. Just a thought.


[http://commons.wikimedia.org/wiki/Image:Window_function_%28rectangular%29.png]
[http://www.engr.usask.ca/classes/EE/352/2005/Ch/Ch3-AM-04m4.pdf FYI, here is another example of subheterodyne] ''':''' (excerpt below)


:I also went there and changed PD to PD-self, but I didn't realize that I was not logged in, because I wasn't a member of commons. It seemed to work anyway. Is that true? And did I need to do that? If so, shouldn't someone have notified me?... like maybe the person who moved the image? Is is going to stay in one place now? Should I have uploaded it differently than I did? -- Bob K
3.22 A 4.02 GHz satellite television signal enters an Earth station receiver with IF frequency 70 MHz. What is
the LO frequency and the image frequency for the cases of:
:(a) High-side injection (superheterodyne)?
:(b) Low-side injection (“subheterodyne”)?


::Since the image contains English text not suitable to http://simple.wikipedia.org/ I think [[User:Tiaguito]]'s move to commons was wrong, and your original upload was fine. It's not a problem since it still shows up fine in the articles. -- [[User:Jeandré|Jeandré]], 2006-01-11[[User talk:Jeandré|t]]11:00z


== Convolution ==
&nbsp;&nbsp;--[[User:Bob K|Bob K]] 21:59, 17 November 2005 (UTC)
----


Hi, your edit summary said that some characters do not appear correctly in Internet Explorer. They seem fine on my copy, which has no special fonts installed. But if this is generally a problem for people running internet explorer, then something should be done to make changes across several articles. Is it possible to get a screen shot to see what it looks like on your copy? [[User:Thenub314|Thenub314]] ([[User talk:Thenub314|talk]]) 11:04, 19 January 2009 (UTC)
== non-breaking spaces ==


:When [[User:Bdmy]] changed ƒ*''g''<sub>T</sub> to ƒ&lowast;''g''<sub>T</sub>, the asterisk became an empty square (aka "box") on my IE screen. Upon further reading, such as [[Talk:Set_(mathematics)#Box-fixing]] and [[Template_talk:SpecialChars#Internet_Explorer]], I learned that the problem is associated with IE. I have Firefox, and it works, but I use IE for everything else, as do many other readers.
i was just editing [[negative frequency]] and saw you added a lot of non-breaking spaces. are you doing that on purpose? — [[User:Omegatron|Omegatron]] 14:50, 29 November 2005 (UTC)
:--[[User:Bob K|Bob K]] ([[User talk:Bob K#top|talk]]) 14:28, 19 January 2009 (UTC)


:: This is good to know. I when I tried IE on my vista machine it worked fine, when I tried on my XP machine it displayed a box. I wonder why they only fixed the bug on Vista? Oddly, as an a side, on my XP system the PNG graphics also looked very pixelated. I am surprised the issue about boxes has never come up on the [[WT:WPM]]. I will try to keep this in mind when editing articles, and make sure to use * instead of &lowast;. [[User:Thenub314|Thenub314]] ([[User talk:Thenub314|talk]]) 15:05, 19 January 2009 (UTC)
:Yes. I am used to separating sentences by 2 spaces, as I was taught long ago in high school. I have no clue what they are teaching these days. Without the nbsp, wikipedia displays only one of the spaces. It looks better with 2, IMHO. --[[User:Bob K|Bob K]] 23:48, 30 November 2005 (UTC)


:'''Ah Ha!''' I discovered an easy fix. I changed '''Times New Roman''' to '''Lucida Sans Unicode''' in a pull down menu at {{nowrap|Tools -> Internet Options -> Fonts -> Webpage Font:}}.&nbsp; That fixes the problem for me. But how do we disseminate that information to the readership?
::Ahhh. Style varies widely. Lots of people type two spaces in the markup and there's nothing wrong with that, but don't use nbsp to make it display as a wider space, please. It clutters up the markup for little gain, and is very atypical.
:--[[User:Bob K|Bob K]] ([[User talk:Bob K#top|talk]]) 14:55, 19 January 2009 (UTC)


:: Well, one could include a link on the special characters template that discusses possible fixes. [[User:Thenub314|Thenub314]] ([[User talk:Thenub314|talk]]) 15:05, 19 January 2009 (UTC)
:::"There are no guidelines on whether to use one or two spaces after the end of a sentence but it is not important '''as the difference shows up only in the edit box'''. See [[Wikipedia talk:Manual of Style archive (spaces after a full stop/period)|Wikipedia talk:Manual of Style archive (spaces after the end of a sentence)]] for a discussion on this."


:Yes, I was just looking into that. But I haven't figured out where the "fix" page should exist. Any suggestions?
:: From the [[Wikipedia:Manual_of_Style#Spaces_after_the_end_of_a_sentence|Manual of Style]] — [[User:Omegatron|Omegatron]] 01:58, 1 December 2005 (UTC)
:--[[User:Bob K|Bob K]] ([[User talk:Bob K#top|talk]]) 15:20, 19 January 2009 (UTC)


:More progress... I just created section [http://meta.wikimedia.org/wiki/Help:Special_characters#Changing_Internet_Explorer.27s_.28IE.29_default_font Changing Internet Explorer's (IE) default font]
== [[Frequency spectrum]] ==
:--[[User:Bob K|Bob K]] ([[User talk:Bob K#top|talk]]) 17:03, 19 January 2009 (UTC)


::Nice work! It is looking much better. [[User:Thenub314|Thenub314]] ([[User talk:Thenub314|talk]]) 19:07, 19 January 2009 (UTC)
Can you look at [[frequency spectrum]]? I think it needs some work. — [[User:Omegatron|Omegatron]] 00:52, 6 December 2005 (UTC)


:::From [[Talk:Convolution]] : The "reflection" of g(t) is h(t) = g(-t). E.g., h(0.2) = g(-0.2), and h(-0.2) = g(0.2). Sleep on it. --Bob K (talk) 13:56, 10 August 2018 (UTC)
:Yikes, you're right. It's in bad shape. Not an easy task though. No doubt I'll be thinking about it now, somewhere in the back of my mind.


::::The fabricated reflection of g(t) about the vertical axis is h(t). It is only feasible to say that g(-t) = g(t) after that fabrication. Otherwise, it's wrong (and vague) to simply and generally say that the 'reflection of g(t) is g(-t)'. Sleep on that one. [[User:KorgBoy|KorgBoy]] ([[User talk:KorgBoy|talk]]) 12:52, 15 August 2018 (UTC)
== Hilbert transform ==


==Disambiguation link notification for November 19==
Hi,


Hi. Thank you for your recent edits. Wikipedia appreciates your help. We noticed though that when you edited [[Fourier analysis]], you added a link pointing to the disambiguation page [[DFT]] ([[tools:~dispenser/cgi-bin/dablinks.py/Fourier_analysis|check to confirm]]&nbsp;|&nbsp;[[tools:~dispenser/cgi-bin/dab_solver.py/Fourier_analysis|fix with Dab solver]]). Such links are almost always unintended, since a disambiguation page is merely a list of "Did you mean..." article titles. <small>Read the [[User:DPL bot/Dablink notification FAQ|FAQ]]{{*}} Join us at the [[Wikipedia:Disambiguation pages with links|DPL WikiProject]].</small>
can you please explain the significance of the brackets in <math>[\hat s(t)]</math> which I notices in the "Hilbert transform" article? --[[User:KYN|KYN]] 22:30, 10 December 2005 (UTC)


It's OK to remove this message. Also, to stop receiving these messages, follow these [[User:DPL bot|opt-out instructions]]. Thanks, [[User:DPL bot|DPL bot]] ([[User talk:DPL bot|talk]]) 11:28, 19 November 2012 (UTC)
:Sorry for the confusion. I tried putting them in parens (), but then I had parens inside of parens. The brackets just looked better, but I have to admit that it gives the appearance of a deeper meaning. Please fix as you see fit. Thanks. --[[User:Bob K|Bob K]] 17:48, 11 December 2005 (UTC)


==Single-sideband_modulation answer on my biggest Question of life==
:And do you happen to know if there is a wikipedia convention regarding use of <math>\star </math> or <math>*\,</math> to represent convolution? Either one seems to be acceptable, as long as the text also specifies what it means. --[[User:Bob K|Bob K]] 18:00, 11 December 2005 (UTC)
Спасибо! Привет тебе из России. Не хворай ;-)
http://translate.google.com/#ru/en/
[[User:Xakepp35|Xakepp35]] ([[User talk:Xakepp35|talk]]) 20:03, 7 February 2013 (UTC)


:You're very welcome. I'm glad to know the answer actually reached you. And thanks for the well wishes. --[[User:Bob K|Bob K]] ([[User talk:Bob K#top|talk]]) 21:21, 8 February 2013 (UTC)
::OK, that explain things! About the sign for convolution, I noticed that the [[convolution]] article uses asterisk (<math>*</math>) to represent convolution and the [[cross-correlation]] article uses star (<math>\star</math>) to represent cross-correlation and I believe that these notations are the conventional also outside wikipedia. --[[User:KYN|KYN]] 21:54, 11 December 2005 (UTC)


== Examples of [[convolution]] ==
==fractions==


I saw the wiki page, but I couldn't find any examples using actual numbers evaluating the formula. Could you give some examples of convolution, please? [[User:Mathijs Krijzer|Mathijs Krijzer]] ([[User talk:Mathijs Krijzer|talk]]) 22:14, 9 March 2013 (UTC)
I like the [http://en.wikipedia.org/w/index.php?title=Discrete_Fourier_transform&oldid=31503933 stacked version] better than the [http://en.wikipedia.org/w/index.php?title=Discrete_Fourier_transform&oldid=31504944 unstacked version]. IMO, that's the whole point of having a cool math editor. --[[User:Bob K|Bob K]] 21:11, 15 December 2005 (UTC)
====Definition====


The convolution of ''f'' and ''g'' is written ''f''∗''g'', using an [[asterisk]] or star. It is defined as the integral of the product of the two functions after one is reversed and shifted. As such, it is a particular kind of [[integral transform]]:
:A major point of having a cool math editor is versatility: you can make it do what you want it to. "Stacked" is appropriate in some cases, but seldom within superscripts. Bob K, did you think I was saying "stacked" should never be used? If so, go back and read what I wrote, since you missed it entirely. [[User:Michael Hardy|Michael Hardy]] 21:53, 15 December 2005 (UTC)
::PS: I'm betting you two will get outvoted on this one if it comes to that. [[User:Michael Hardy|Michael Hardy]] 21:53, 15 December 2005 (UTC)
:::I'm willing to risk it. How does that work? Of course I do '''not''' think you were saying that stacked should never be used. If you were that extreme, I probably wouldn't have botherd to ask for your reasons. --[[User:Bob K|Bob K]] 22:52, 15 December 2005 (UTC)


:{|
Looking over some of your edits, it seems to me your use of [[TeX]] is often clumsy: you don't use \, between f(x) and dx; God only knows why you always use the matrix environment for "stacked" fractions \frac{a}{b}; you actually use "stacked" fraction '''inline''' rather than in "displayed" TeX, and that's uncouth ... several other problems. Take a look at some of my recent edits of articles you've worked on. Also, are you aware that the title phrase should be bolded at its first appearance in an article (see [[Wikipedia:Manual of Style)? [[User:Michael Hardy|Michael Hardy]] 22:29, 15 December 2005 (UTC)
|<math>(f * g )(t)\ \ \,</math> &nbsp;
:Sure I'm clumsy with [[Tex]]. Maybe I will improve. Maybe not. Why in the world would I care if there is a \, between f(x) and dx? Somewhere I read that the \, can go anywhere. When it comes to stacked fractions, I '''know''' where I learned that'''...''' check out [http://en.wikipedia.org/w/index.php?title=Help:Formula&section=9#Fractions.2C_matrices.2C_multilines row 2]. --[[User:Bob K|Bob K]] 22:52, 15 December 2005 (UTC)
|<math>\stackrel{\mathrm{def}}{=}\ \int_{-\infty}^\infty f(\tau)\, g(t - \tau)\, d\tau</math>
|-
|
|<math>= \int_{-\infty}^\infty f(t-\tau)\, g(\tau)\, d\tau.</math> &nbsp; &nbsp; &nbsp; ([[#Properties|commutativity]])
|}


====Domain of definition====
== thanx for your support on DFT. ==
The convolution of two complex-valued functions on '''R'''<sup>''d''</sup>
:<math>(f*g)(x) = \int_{\mathbf{R}^d}f(y)g(x-y)\,dy</math>
is well-defined only if ''f'' and ''g'' decay sufficiently rapidly at infinity in order for the integral to exist. Conditions for the existence of the convolution may be tricky, since a blow-up in ''g'' at infinity can be easily offset by sufficiently rapid decay in ''f''. The question of existence thus may involve different conditions on ''f'' and ''g''.


====Circular discrete convolution====
i'm just curious, Bob, a little bit about your story. how long has it been since you've been in school? (i'll date myself more directly, i enter my 6<sup>th</sup> decade with the New Year.) if you want, you can find my email at my home page and send it. whatever. L8r, [[User:Rbj|r b-j]] 06:59, 16 December 2005 (UTC)


When a function ''g<sub>N</sub>'' is periodic, with period ''N'', then for functions, ''f'', such that ''f''∗''g<sub>N</sub>'' exists, the convolution is also periodic and identical to:


:<math>(f * g_N)[n] \equiv \sum_{m=0}^{N-1} \left(\sum_{k=-\infty}^\infty {f}[m+kN] \right) g_N[n-m].\,</math>
== thanx for your support on that RfC ==


==== Circular convolution ====
would you consider putting it in the project page rather than the talk page? it will more "official" there. as you probably know, i usually don't back down from internet fights. it doesn't mean i'm in full agreement with you about the periodic extension inherent to the DFT, but i wanna slug that out on ''comp.dsp'' rather than here at WP. [[User:Rbj|r b-j]] 21:30, 11 January 2006 (UTC)
{{Main|Circular convolution}}


When a function ''g''<sub>''T''</sub> is periodic, with period ''T'', then for functions, ''f'', such that ''f''∗''g''<sub>''T''</sub> exists, the convolution is also periodic and identical to:
:Sure but need some help. See your e-mail. (Let me know if you didn't get it.) --[[User:Bob K|Bob K]] 22:45, 11 January 2006 (UTC)


:<math>(f * g_T)(t) \equiv \int_{t_0}^{t_0+T} \left[\sum_{k=-\infty}^\infty f(\tau + kT)\right] g_T(t - \tau)\, d\tau,</math>
== Dirac delta function ==


where ''t''<sub>o</sub> is an arbitrary choice. The summation is called a [[periodic summation]] of the function&nbsp;''f''.
Hi Bob K,
====Discrete convolution====
I wanted to tell you that the notation(http://en.wikipedia.org/w/index.php?title=Dirac_delta_function&diff=50641735&oldid=50639580) is conventional among physicists. They use it almost exclusively. They seem to think it more clear when using very very long integrants. I'm not so sure about that; I've always preferred the maths convention. Thanks for changing that and the sift/shift thing. Although I'm not sure sift is the right word, shift is definately not correct. Select would be better I think. --[[User:MarSch|MarSch]] 18:11, 29 April 2006 (UTC)


For complex-valued functions ''f'', ''g'' defined on the set '''Z''' of integers, the '''discrete convolution''' of ''f'' and ''g'' is given by:
== sampling theorem, sinc. ==


:<math>(f * g)[n]\ \stackrel{\mathrm{def}}{=}\ \sum_{m=-\infty}^\infty f[m]\, g[n - m]</math>
hi Bob,
::::<math>= \sum_{m=-\infty}^\infty f[n-m]\, g[m].</math> &nbsp; &nbsp; &nbsp; ([[#Properties|commutativity]])


When multiplying two [[polynomial]]s, the coefficients of the product are given by the convolution of the original coefficient [[sequence]]s, extended with zeros where necessary to avoid undefined terms; this is known as the [[Cauchy product]] of the coefficients of the two polynomials.
i'm still at a loss as to why "disambiguating" [[Sinc function]] helped. now we'll have multiple occurances of <math> \mathrm{sinc}(x) \ </math> meaning two different things. i would prefer if it was the normalized sinc all around, but losing that battle, adding the &pi; to get <math> \mathrm{sinc}(\pi x) \ </math>is better than to have two inconsistent definitions.


==Disambiguation link notification for May 2==
also, i am still not clear what the "heuristic" basis for the sampling theorem does for anything. it doesn't prove anything and the explanation relying on that part of the DTFT article is circular. first we have to establish, independently, that sampling a signal causes its spectrum to be repeatedly shifted by multiples of the sampling frequency and overlap added. then, ''after that'', to motivate the definition of the DTFT, you ask "what is the F.T. of that ideally sampled signal?" and the result, with a couple of substitutions ''x''[''k''] for ''x''(''kT'') and &omega; for 2&pi;''fT'', is the DTFT. but to use that as a mathematical basis for the sampling theorem is circular. it serves no purpose.


Hi. Thank you for your recent edits. Wikipedia appreciates your help. We noticed though that when you edited [[Nyquist rate]], you added a link pointing to the disambiguation page [[Bandwidth]] ([[tools:~dispenser/cgi-bin/dablinks.py/Nyquist_rate|check to confirm]]&nbsp;|&nbsp;[[tools:~dispenser/cgi-bin/dab_solver.py/Nyquist_rate|fix with Dab solver]]). Such links are almost always unintended, since a disambiguation page is merely a list of "Did you mean..." article titles. <small>Read the [[User:DPL bot/Dablink notification FAQ|FAQ]]{{*}} Join us at the [[Wikipedia:Disambiguation pages with links|DPL WikiProject]].</small>
lastly, you confuse the terms "aliases" with "images". e.g. an "anti-aliasing filter" is what goes before an A/D converter and an "anti-imaging filter" is what comes after the D/A. those copies of the original baseband spectrum shifted to multiples of the sampling frequency are ''images'' not aliases. if the signal is undersampled and a piece of the first image overlaps the baseband spectrum, that overlapping portion are aliases.


sorry to be so terse. i'm tired of typing too much at [[User:LutzL]].[[User:Rbj|r b-j]] 05:49, 17 May 2006 (UTC)
It's OK to remove this message. Also, to stop receiving these messages, follow these [[User:DPL bot|opt-out instructions]]. Thanks, [[User:DPL bot|DPL bot]] ([[User talk:DPL bot|talk]]) 11:16, 2 May 2013 (UTC)


== Some bubble tea for you! ==
:Yeah, you guys have been working overtime. I hope it was worth it. Regarding the multiple defs of sinc(), I think the best that Wikipedia can do is to accurately describe the complexity of the outside world, not just the world of mathematicians or EEs. A textbook writer has the advantage of tunnel vision. But sinc() has two common definitions (and always will in the foreseeable future). And almost everyone who uses it is careful to specify which one they are using. Those who don't are either naive or arrogant. So people are accustomed to seeing sinc defined differently for math articles than for EE articles. They expect it. Unfortunately <u>that</u> is the standard that has evolved, and it is too pervasive for Wikipedia to fix, not to mention that neither side wants to give up their preferred definition. The <math>\rm{sinc}_{\pi}\,</math> notation is rarely used and not self-evident; i.e., the casual reader will still have to look for the definition. And of course any given article is still free to locally define and use <math>\rm{sinc}_{\pi}\,</math>. Another advantage of the disamb page is that some articles mention the sinc() function in a non-specific way; i.e., they don't really care which definition you use. So those articles have the additional option of referencing the disamb page. --[[User:Bob K|Bob K]] 11:59, 17 May 2006 (UTC)


{| style="background-color: #fdffe7; border: 1px solid #fceb92;"
:: i agree with you about the uselessness of the <math>\rm{sinc}_{\pi}\,</math> notation. to me the simplest thing to do is to say <math>\rm{sinc}(\pi x) = \frac{\sin(\pi x)}{\pi x} \,</math> when that is what you want and to say <math>\rm{sinc}(x) = \frac{\sin(x)}{x} \,</math> when that is what is needed. i wrote that thing on [[Talk:Sinc function]] because i thought it would be nice to change the default notation (forcing those who wanted <math> \frac{\sin(x)}{x} \,</math> to say <math>\rm{sinc}(x/ \pi) \,</math> but that met with enough resistance that i dropped the idea (since the default [[continuous Fourier transform]] is not to my liking either. i just think that using <math>\rm{sinc}(x) \,</math> in all cases and then having to explain or reference which sinc() you're using is less concise than having '''one''' definition and tossing in a &pi; factor when needed. [[User:Rbj|r b-j]] 00:55, 18 May 2006 (UTC)
|style="vertical-align: middle; padding: 5px;" | [[File:Bubble_Tea.png|65px]]
|style="vertical-align: middle; padding: 3px;" | I thought your comment on the technical sophistication of a signls processing article I was reading was very sensible.


[[User:David Lloyd-Jones|David Lloyd-Jones]] ([[User talk:David Lloyd-Jones|talk]]) 22:26, 4 February 2014 (UTC)
:As I said [[Talk:Nyquist%E2%80%93Shannon_sampling_theorem#Mathematical_basis_of_sampling_and_reconstruction_theorem.|9-May]], I do understand your quibble with the DTFT, and I can replace it with the Fourier transform. In fact the [[http://en.wikipedia.org/w/index.php?title=Nyquist%E2%80%93Shannon_sampling_theorem&oldid=44467606 19-March version]] (before I changed it) actually did that, except that it happened to use the label <math>X_{dtft}(f)\,</math> for the transform. I merely moved the derivation to the DTFT article, and linked to it. --[[User:Bob K|Bob K]] 00:22, 18 May 2006 (UTC)
|}


== Renaming of [[Star transform]] article ==
:: since the DTFT thing appealed to the PSF, why not use that proof instead?. i '''really''' do not like the <math>X_{dtft}(f)\,</math> notation. it's another notational convention introduced that is neither necessary nor used anywhere else.
:: best, [[User:Rbj|r b-j]] 00:55, 18 May 2006 (UTC)


Please explain the criteria for your assertion that (quote): "''"starred transform" receives the higher percentage of relevant hits on the internet''", which was your argument for renaming the article "star transform". Consider the following results:
:::I was sort of expecting some resistance to the <math>X_{dtft}(f)\,</math> notation, and it is unnecessary. I will do something about that soon (but not tonight). My reason for not embracing the PSF is that the PSF is not how most newbies get their first glimpse of insight into the sampling theorem. I was trying to make it easy to understand, and therefore fun. I don't care if it not rigorous, and I don't care if it is not labelled "proof". All I hope to do is convince some reluctant reader that sampling really works and that they can understand why and maybe even explain it to their friends. --[[User:Bob K|Bob K]] 01:53, 18 May 2006 (UTC)
:*"star transform"
:**Google Scholar: 125 results
:**IEEE Xplore: 4 results
:*"starred transform"
:**Google Scholar: 36 results
:**IEEE Xplore: 1 result
Based on these results, I expect you to revert your changes.
--[[User:Sagie|Sagie]] ([[User talk:Sagie|talk]]) 13:04, 6 February 2014 (UTC)


:I saw the Google Scholar results, but my informal inspection of the hits revealed that the "star transform" hits were mostly about text compression algorithms, which I assume are irrelevant here. There were many other irrelevant hits as well.
:::: well, that so-called "rigorous proof" was meant to be that for the newbie. it was explicit and could be called "bloated" (i step-by-step evaluate some expressions), but it isn't deep or complicated. it is about the conceptually simplest proof i can think of. most EE textbooks that do it are almost the same except they don't represent the dirac comb as a Fourier series and apply the frequency shifting operation, instead they identify the F.T. of the dirac comb as another dirac comb in the frequency domain and then apply convolution in the frequency domain. i have always considered that to be a bit harder for the newbie to grasp. [[User:Rbj|r b-j]] 03:29, 18 May 2006 (UTC)
:--[[User:Bob K|Bob K]] ([[User talk:Bob K#top|talk]]) 14:32, 6 February 2014 (UTC)


== Your contributions to [[Z-transform]] and [[Star transform]] ==
:::::If you look past my unfortunate labelling, you will see that <math>X_{dtft}(f)\,</math> is just what you have described'''...''' the convolution of <math>X(f)\,</math> with "another dirac comb in the frequency domain". So I think your issues are''':'''
:::::#labelling
:::::#Fourier series vs. comb
:::::I agree to fix the labelling. And as you said, the comb is the method preferred by EE texts. (So I am in good company.) So apparently I have a "proof" afterall. --[[User:Bob K|Bob K]] 11:14, 18 May 2006 (UTC)


While your contribution to said articles is very appreciated, you have also been systematically deleting information from them.
:I also understand your distinction between '''alias and image''', and in certain contexts (such as ''anti-aliasing filter'') I can see that it is useful. But the word ''aliasing'' (in the discrete-time sense) is also used more broadly than that, and I did not have to look very far for an example''':''' [[Aliasing#Aliasing]]. Maybe that article should explain the narrower definition as well. --[[User:Bob K|Bob K]] 01:53, 18 May 2006 (UTC)
Specifically, you have deleted (twice) information about relationship between the Z-transform and the Laplace transform, by means of the star transform:
# in your first edits that relationship was removed altogether.
# in your last edits (following my retrieval of said information) you've removed information regarding the conversion from a continuous-time Laplace representation to a discrete time Z/star representation, which is what the star transform is all about, since from before it was even known as star/starred transform (see E. Jury, "Analysis and Synthesis of Sampled-Data Control Systems", Sept. 1954)
While the information about star transform could probably have been presented more succinctly in the Z-transform article, I find removing it altogether is completely unacceptable.
I'd appreciate your reinstating of the removed information.


--[[User:Sagie|Sagie]] ([[User talk:Sagie|talk]]) 13:09, 6 February 2014 (UTC)
== Phase image ==


:: Regarding the second point I made, note that you've removed this information from both articles ([[Z-transform]] and [[Star transform]])
Can you comment on [[Talk:Phase (waves)#Misleading image??]] please? — [[User:Omegatron|Omegatron]] 03:54, 24 June 2006 (UTC)
:: --[[User:Sagie|Sagie]] ([[User talk:Sagie|talk]]) 13:11, 6 February 2014 (UTC)


==Nyquist–Shannon==


Comparing the current version of [[Starred transform]] to the 23Mar'13 version, it appears that what you're concerned about is merely this:
BobK, do you have an opinion on the dispute I provoked with Rbj on [[Nyquist–Shannon sampling theorem]]? [[User:Dicklyon|Dicklyon]] 05:20, 5 August 2006 (UTC)


:<math>x(t) \rightarrow X^*(s) \rightarrow x^*(t)</math>
==Single-sideband modulation/Proofs==
I have added a "{{[[Template:prod|prod]]}}" template to the article [[Single-sideband modulation/Proofs]], suggesting that it be deleted according to the [[Wikipedia:Proposed deletion|proposed deletion]] process. All contributions are appreciated, but I don't believe it satisfies Wikipedia's criteria for inclusion, and I've explained why in the deletion notice (see also "[[Wikipedia:What Wikipedia is not|What Wikipedia is not]]" and [[Wikipedia:Deletion policy|Wikipedia's deletion policy]]). You may contest the proposed deletion by removing the <code><nowiki>{{dated prod}}</nowiki></code> notice, but please explain why you disagree with the proposed deletion in your edit summary or on [[Talk:Single-sideband modulation/Proofs|its talk page]]. Also, please consider improving the article to address the issues raised. Even though removing the deletion notice will prevent deletion through the [[WP:PROD|proposed deletion process]], the article may still be deleted if it matches any of the [[Wikipedia:Criteria for speedy deletion|speedy deletion criteria]] or it can be sent to [[Wikipedia:Articles for deletion|Articles for Deletion]], where it may be deleted if consensus to delete is reached. --[[User:Zvika|Zvika]] 19:23, 30 May 2007 (UTC)
:The above is a rather silly template. You created this page a year and a half ago, so I don't expect you to remember why you did, but I decided to let you know of the proposed deletion just in case you have a reason for keeping it. If not, just forget about it. Have a nice day! --[[User:Zvika|Zvika]] 19:24, 30 May 2007 (UTC)


Really?
::Thanks for the explanation. I agree with your proposal. The history of how this came about is recorded at [[Talk:Single-sideband_modulation#Needs_work]], in case you're interested. I had originally placed the information in the main article, but it was suppressed by [[User:Wtshymanski|Wtshymanski]], who objected to the use of the Hilbert transform. I was too new to argue that point, but I knew the proof was useful, so I created the subpage. The next day, [[User:Splash|Splash]] objected to that and supported the original concept, which gave me the conviction to reinstate it. I would have removed the subpage myself, but I don't have that power. --[[User:Bob K|Bob K]] 08:39, 31 May 2007 (UTC)


--[[User:Bob K|Bob K]] ([[User talk:Bob K#top|talk]]) 15:41, 6 February 2014 (UTC)
== \align ==


::I don't know why you're playing dumb. Your changes to said article are far more than the above mentioned deletion. What I'm mainly concerned about is you deleting the following paragraph, which the main way to convert between the transforms:
Hello. Please see [http://en.wikipedia.org/w/index.php?title=Euler%27s_formula&diff=next&oldid=152808135 this edit]. We've had \align for some time now. [[User:Michael Hardy|Michael Hardy]] 00:31, 22 August 2007 (UTC)
::::The star transform can be related to the [[Laplace transform]], by taking the residues of the Laplace transform of a function, as such:
::::
:::::<math>X^*(s) = \sum \bigg[\text{residues of }X(\lambda)\frac{1}{1-e^{-T(s-\lambda)}}\bigg]_{\text{at poles of }X(\lambda)},</math>
::--[[User:Sagie|Sagie]] ([[User talk:Sagie|talk]]) 12:30, 19 February 2014 (UTC)


First of all, your point no. 1 is irrelevant. It's quibbling about the route I took, rather than the result. Regarding your point no. 2,
==LSSA==
indeed I seem to have made a mistake when I tried to compare the Feb 6 version (https://en.wikipedia.org/w/index.php?title=Starred_transform&oldid=594159008) version with the Mar 2013 version (https://en.wikipedia.org/w/index.php?title=Starred_transform&oldid=546556726). Had I done it correctly, my suggestion would have been to better-support the deleted, isolated fragment, as you have now apparently done ([[Starred_transform#Relation_to_Laplace_transform]]) on your own. Better. Not sure if your text changes are an improvement though. Not sure that I really care anymore. Perhaps others are watching who will weigh in.<br>
--[[User:Bob K|Bob K]] ([[User talk:Bob K#top|talk]]) 17:09, 19 February 2014 (UTC)


== [[Instantaneous phase]] ==
Bob, can you look at the ongoing mess at [[Least-squares spectral analysis]] please, and see if this is something you can offer an opinion on? See also [[Wikipedia:Requests for comment/Geoeg]]. [[User:Dicklyon|Dicklyon]] 05:10, 18 October 2007 (UTC)

Question for you on [Instantaneous phase]]. Does it make sense to you that in the figure, the y-axis has different scale in the top vs the bottom graphs? Thanks. 22:06, 16 June 2014 (UTC)

:Since they are being compared side-by-side, one can certainly make a good case for using one scale for both. And by-the-way, phase unwrapping algorithms are not fool-proof when looking at angle-modulated signals with possible smeared 180 degree phase shifts. The approach I've used in systems since the 1970's, is to simply stack three "copies" of the wrapped phase plot vertically, and label the y-axis [-3π,3π]... works like a charm. Another good trick is to not try to "connect the dots" of the graph. Instead, vertically elongate each dot (for instance 1 pixel wide and 8 pixels high), which tends to make them look connected without having to make error-prone algorithmic decisions.
:--[[User:Bob K|Bob K]] ([[User talk:Bob K#top|talk]]) 11:35, 17 June 2014 (UTC)

::Thanks for that, and for the extra advice too! [[User:Jytdog|Jytdog]] ([[User talk:Jytdog|talk]]) 11:59, 17 June 2014 (UTC)

== Proposed deletion of A derivation of the discrete Fourier transform ==
[[Image:Ambox warning yellow.svg|left|link=|48px|]]

The article [[A derivation of the discrete Fourier transform]] has been [[Wikipedia:Proposed deletion|proposed for deletion]]&#32; because of the following concern:
:'''Unsourced alternative-pov [[Wikipedia:Content forking|content fork]] of [[discrete Fourier transform]], written in an essay-like and unencyclopedic way, not suitable for merging.'''

While all constructive contributions to Wikipedia are appreciated, content or articles may be [[WP:DEL#REASON|deleted for any of several reasons]].

You may prevent the proposed deletion by removing the {{Tlc|proposed deletion/dated}} notice, but please explain why in your [[Help:edit summary|edit summary]] or on [[Talk:A derivation of the discrete Fourier transform|the article's talk page]].

Please consider improving the article to address the issues raised. Removing {{Tlc|proposed deletion/dated}} will stop the [[Wikipedia:Proposed deletion|proposed deletion process]], but other [[Wikipedia:deletion process|deletion process]]es exist. In particular, the [[Wikipedia:Criteria for speedy deletion|speedy deletion]] process can result in deletion without discussion, and [[Wikipedia:Articles for deletion|articles for deletion]] allows discussion to reach [[Wikipedia:Consensus|consensus]] for deletion.<!-- Template:Proposed deletion notify --> —[[User:David Eppstein|David Eppstein]] ([[User talk:David Eppstein|talk]]) 00:42, 9 February 2015 (UTC)

== FFT of the Window functions ==

Hello Bob K,

I've read your posts in the section: '''Talk:Window function'''. I posted a question yesterday in that section under the title identical to this post. I would appreciate if you could take a look at it. Thanks much. --[[User:AboutFace 22|AboutFace 22]] ([[User talk:AboutFace 22|talk]]) 14:50, 17 June 2015 (UTC)


== Decimation (signal processing)==
Hello Bob K, please comment your deleting of my text regarding:

"In the easer case can be use the algorithm''':'''<ref name=slyusardopstr>Slyusar V. I. Synthesis of algorithms for measurement of range to M sources with the use of additional gating of the ADC readings.// Radioelectronics and Communications Systems. - Vol. 39. - no. 5. - 1996. - P. 36 – 40. [http://www.slyusar.kiev.ua/en/IZV_VUZ_05_96.pdf]</ref>

:<math>y[n] = \sum_{k=0}^{M-1} x[k]\ e^{-i 2\pi f kT}</math>,

where T is interval between samples of signal."

This Algorithm is very importent for decimation of ADC samples before digital beamforming in digital antenna arrays in radars and MIMO systems in communications. I'm sorry, but I should cancelled your deleting of this text. It's very imporetent for Wiki-readers. Thank you for your understanding. Best regards,[[User:Swadim|Swadim]] ([[User talk:Swadim|talk]]) 08:32, 24 August 2017 (UTC)

:The formula you inserted is not even a function of n. It is just <b>one</b> sample of a [[discrete Fourier transform]], X(f). In the future, please discuss your ideas on [[Talk:Decimation_(signal_processing)|the talk page]], before changing the article. --[[User:Bob K|Bob K]] ([[User talk:Bob K#top|talk]]) 12:11, 24 August 2017 (UTC)

Thank you! I has some mistake on this formula. The true formula is

:<math>y[n] = \sum_{k=0}^{M-1} x[nM+k]\ e^{-i 2\pi f kT}, n=0,1,.., N</math>. For example by <math> 2\pi f kT = k\pi/2</math> we have
<math> e^{-i 2\pi f kT} = 1, e^{-i \pi/2}, e^{-i \pi},...</math> and<ref name=slyusardopstr></ref>

:<math>Re (y[n]) = \sum_{k=0}^{M-1}( Re (x[nM+k]) cos { k \pi/2 } + Im (x[nM+k]) sin { k \pi/2 })\,</math>,

:<math>Im (y[n]) = \sum_{k=0}^{M-1}( Im (x[nM+k]) cos { k \pi/2 } - Re (x[nM+k]) sin { k \pi/2 })\,</math>.


For <math>Im (x[nM+k])=0</math> we have

:<math>Re (y[n]) = x[nM]-x[nM+2]+x[nM+4]-...,</math>,

:<math>Im (y[n]) = -x[nM+1]+x[nM+3]-x[nM+5]-...</math>.

For video signals (<math>Im (x[nM+k])=0</math> and <math>Re (x[nM+k])>=0</math>)

:<math>y[n] = \sum_{k=0}^{M-1} x[nM+k]\ </math>.

It's enough for your understanding? [[User:Swadim|Swadim]] ([[User talk:Swadim|talk]]) 10:00, 25 August 2017 (UTC)

{{reflist-talk}}

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== Hamming Window Equation ==

Bob,

"Introduction to Signal Processing", by Sophocles J. Orfanidis shows the equation for the Hamming Window like the one shown in Equation \ref{eqn:orfanidis_hamming}. However, MATLAB, and "Digital Signal Processing Using MATLAB", by Ingle and Proakis show the Hamming Window as shown in Equation \ref{eqn:ingle_hamming}.
\begin{equation}
\label{eqn:orfanidis_hamming}
w(m)=0.54+0.46cos(\frac{\pi m}{M})
\end{equation}
\begin{equation}
\label{eqn:ingle_hamming}
w(m)=0.54-0.46cos(\frac{\pi m}{M})
\end{equation}

If I plot both of these, only Equation \ref{eqn:ingle_hamming} appears and behaves like a Hamming Window. Have you tried plotting Equation \ref{eqn:orfanidis_hamming}?


:The Orfanidis formula is zero-phase, w<sub>0</sub>(n). The Matlab formula is w[n], as <u>clearly</u> defined in the article. The zero-phase formula will also look and behave like a Hamming window, when you are windowing data between -N/2 and N/2.
:--[[User:Bob K|Bob K]] ([[User talk:Bob K#top|talk]]) 14:39, 26 September 2017 (UTC)

Thank you sincerely for the edification. I'm definitely a newly at DSP and did not recognize the condition, just that I've tried entering that equation several times in MATLAB and other tools and don't get what I need.

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== Bandwidth of an AM signal ==

Bob_K, please see https://en.wikipedia.org/wiki/Talk:Single-sideband_modulation#Bandwidth_of_an_AM_signal

== Expansion ==

Bob, expansion is a good concept to add, but in practice upsampling is not implemented in two steps like that. I'd rewrite the lead to describe the net process instead of the steps. [[User:Dicklyon|Dicklyon]] ([[User talk:Dicklyon|talk]]) 16:51, 17 November 2018 (UTC)

:Hi Dick. I think we're covered, because the very next paragraph begins with "Rate increase by an integer factor L can be explained as a 2-step process, with an equivalent implementation that is more efficient:"

:I recall at the time we were writing the lede, it seemed very likely that people would come to Upsampling expecting to read about Expansion. So it seemed important to be clear about the terminology right up front. Anyhow, feel free to take your own suggestion. I'm sure you'll do a great job.

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== Fourier Transform time shifting animation==
Hi Bob,

I've noticed you undid my contribution of the animation on the wikipeida page witht the comment
"I am familiar with the subject, but can't make sense out of the gif. Sorry. Looks like you put a lot of effort into it!"

I have to say that someone else may find the animaion helpful, I suggest adding a discussion on the talk page about it and see if a general concensous can be reached in regards to it.

For now i've added it back in and started the topic on the talk page

[[User:Davidjessop|Davidjessop]] ([[User talk:Davidjessop|talk]]) 09:10, 24 February 2019 (UTC)

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== Congrats! ==

Hi, Bob. Congratulations on the Yankee Dutch Crossing article! You should tell Gaye. I'll bet she'll be delighted.
I assume you are Bob Kettig, and that you contra dance at Glen Echo. We haven't really met, but we've seen each other on the dance floor. BTW, I recently moved all the external links in the contra article. They need to be cleaned up and, especially, pruned. Maybe we could collaborate on that. Paulmlieberman ([[User talk:Paulmlieberman#top|talk]]) 14:42, 6 May 2020 (UTC)

:Thanks Paul, and yes I am Kettig, and I know you too. My suggestion for what to do next is move the band links to the External links section.
:--[[User:Bob K|Bob K]] ([[User talk:Bob K#top|talk]]) 22:02, 6 May 2020 (UTC)

::Congrats, {{u|Bob K}}! {{re|Paulmlieberman}} it looks like everything is good here, but do please be careful not to accidentally out anyone ([[WP:OUTING]]) — people prefer varying degrees of anonymity on Wikipedia, and for privacy it's best to assume they may not want to disclose more than they have on their user page. Off-wiki communications are fine, though; we need all the social connection we can get during this time {{smiley face}}. Cheers, <span style="color:#AAA"><small>&#123;{u&#124;</small><span style="border-radius:9em;padding:0 5px;background:#088">[[User:Sdkb|<span style="color:#FFF">'''Sdkb'''</span>]]</span><small>}&#125;</small></span> <sup>[[User talk:Sdkb|'''talk''']]</sup> 00:51, 9 May 2020 (UTC)

:::Actually, you are the one who has mentioned both my surname and a heretofore unmentioned first name (Gaye). Have I mentioned any names that give rise to your concern? --[[User:Bob K|Bob K]] ([[User talk:Bob K#top|talk]]) 01:24, 9 May 2020 (UTC)

::::{{re|Bob K}} I was addressing Paulmlieberman there (I'm a different user than him, although also a dancer!). I wish talk pages were better formatted to make it easier to tell everyone apart haha. Cheers, <span style="color:#AAA"><small>&#123;{u&#124;</small><span style="border-radius:9em;padding:0 5px;background:#088">[[User:Sdkb|<span style="color:#FFF">'''Sdkb'''</span>]]</span><small>}&#125;</small></span> <sup>[[User talk:Sdkb|'''talk''']]</sup> 01:30, 9 May 2020 (UTC)

:::Doh! Thanks for clearing that up. Now of course, it's obvious. Your sig just did not "compute", and I just disregarded it. --[[User:Bob K|Bob K]] ([[User talk:Bob K#top|talk]]) 01:43, 9 May 2020 (UTC)

:BTW, I have also authored a [[Salty Dog Rag]] article... just trying to stay relevant, during the pandemic.
:--[[User:Bob K|Bob K]] ([[User talk:Bob K#top|talk]]) 22:46, 8 May 2020 (UTC)
Thanks guys! My apologies for naming names here. If I ever feel the urge again, I'll do it on FB. God, I miss contra! Paulmlieberman ([[User talk:Paulmlieberman#top|talk]]) 02:01, 9 May 2020 (UTC)

No worries, Paul. When I started on Wikipedia, 15 years ago, I was reluctant to use my full name, and that just became my "normal". With 20/20 hindsight, if I had it to do over again, I'd use my full name, not because I care about recognition (I don't), but just because Wikipedia has gained my trust.<br>
--[[User:Bob K|Bob K]] ([[User talk:Bob K#top|talk]]) 02:12, 9 May 2020 (UTC)

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== Revert war with [[User:Gkl329Hf293]] on [[Analytic signal]] ==

You might be interested to know that [[User:Gkl329Hf293]] has also been reverting edits to [[Dirac delta function]] with no explanation and I have reported them for edit warring at [https://en.wikipedia.org/wiki/Wikipedia:Administrators%27_noticeboard/Edit_warring#User:Gkl329Hf293_reported_by_User:Elwoz_(Result:_Blocked)]. [[User:Elwoz|Elwoz]] ([[User talk:Elwoz|talk]]) 20:44, 25 September 2021 (UTC)

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== Wrap control ==

In [https://en.wikipedia.org/w/index.php?title=Sampling_(signal_processing)&diff=1240172211&oldid=1239942541 this edit] you removed non-breaking spaces between numbers and units. These are generally desirable per [[MOS:NBSP]]. The edit includes other formatting changes that I assume are good so I did not not revert. Would you mind cleaning this up? ~[[User:Kvng|Kvng]] ([[User talk:Kvng|talk]]) 15:50, 17 August 2024 (UTC)
: Yes sir, and I thank you. I will try. I was using the edit, not edit source, and I did not understand the grey colored things that just seemed annoying at the time. Please feel free to help me where I inevitably fall short. --[[User:Bob K|Bob K]] ([[User talk:Bob K#top|talk]]) 22:11, 17 August 2024 (UTC)

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Latest revision as of 00:07, 19 November 2024

Welcome!

Hello, Bob K, and welcome to Wikipedia! Thank you for your contributions. I hope you like the place and decide to stay. Here are a few good links for newcomers:

I hope you enjoy editing here and being a Wikipedian! Please sign your name on talk pages using four tildes (~~~~); this will automatically produce your name and the date. If you need help, check out Wikipedia:Where to ask a question, ask me on my talk page, or place {{helpme}} on your talk page and someone will show up shortly to answer your questions. Again, welcome!  DV8 2XL 11:38, 19 November 2005 (UTC)[reply]

Finding subpages

[edit]

Is there any way to list all the subpages of a specific page?

To find all subpages of Manifold, for instance, go to Special:Allpages and type "manifold/" in the box labelled "Display all pages starting with:" (I learned this trick from R. Koot) -- Jitse Niesen

Moved images

[edit]

[2]

I also went there and changed PD to PD-self, but I didn't realize that I was not logged in, because I wasn't a member of commons. It seemed to work anyway. Is that true? And did I need to do that? If so, shouldn't someone have notified me?... like maybe the person who moved the image? Is is going to stay in one place now? Should I have uploaded it differently than I did? -- Bob K
Since the image contains English text not suitable to http://simple.wikipedia.org/ I think User:Tiaguito's move to commons was wrong, and your original upload was fine. It's not a problem since it still shows up fine in the articles. -- Jeandré, 2006-01-11t11:00z

Convolution

[edit]

Hi, your edit summary said that some characters do not appear correctly in Internet Explorer. They seem fine on my copy, which has no special fonts installed. But if this is generally a problem for people running internet explorer, then something should be done to make changes across several articles. Is it possible to get a screen shot to see what it looks like on your copy? Thenub314 (talk) 11:04, 19 January 2009 (UTC)[reply]

When User:Bdmy changed ƒ*gT to ƒ∗gT, the asterisk became an empty square (aka "box") on my IE screen. Upon further reading, such as Talk:Set_(mathematics)#Box-fixing and Template_talk:SpecialChars#Internet_Explorer, I learned that the problem is associated with IE. I have Firefox, and it works, but I use IE for everything else, as do many other readers.
--Bob K (talk) 14:28, 19 January 2009 (UTC)[reply]
This is good to know. I when I tried IE on my vista machine it worked fine, when I tried on my XP machine it displayed a box. I wonder why they only fixed the bug on Vista? Oddly, as an a side, on my XP system the PNG graphics also looked very pixelated. I am surprised the issue about boxes has never come up on the WT:WPM. I will try to keep this in mind when editing articles, and make sure to use * instead of ∗. Thenub314 (talk) 15:05, 19 January 2009 (UTC)[reply]
Ah Ha! I discovered an easy fix. I changed Times New Roman to Lucida Sans Unicode in a pull down menu at Tools -> Internet Options -> Fonts -> Webpage Font:.  That fixes the problem for me. But how do we disseminate that information to the readership?
--Bob K (talk) 14:55, 19 January 2009 (UTC)[reply]
Well, one could include a link on the special characters template that discusses possible fixes. Thenub314 (talk) 15:05, 19 January 2009 (UTC)[reply]
Yes, I was just looking into that. But I haven't figured out where the "fix" page should exist. Any suggestions?
--Bob K (talk) 15:20, 19 January 2009 (UTC)[reply]
More progress... I just created section Changing Internet Explorer's (IE) default font
--Bob K (talk) 17:03, 19 January 2009 (UTC)[reply]
Nice work! It is looking much better. Thenub314 (talk) 19:07, 19 January 2009 (UTC)[reply]
From Talk:Convolution : The "reflection" of g(t) is h(t) = g(-t). E.g., h(0.2) = g(-0.2), and h(-0.2) = g(0.2). Sleep on it. --Bob K (talk) 13:56, 10 August 2018 (UTC)
The fabricated reflection of g(t) about the vertical axis is h(t). It is only feasible to say that g(-t) = g(t) after that fabrication. Otherwise, it's wrong (and vague) to simply and generally say that the 'reflection of g(t) is g(-t)'. Sleep on that one. KorgBoy (talk) 12:52, 15 August 2018 (UTC)[reply]
[edit]

Hi. Thank you for your recent edits. Wikipedia appreciates your help. We noticed though that when you edited Fourier analysis, you added a link pointing to the disambiguation page DFT (check to confirm | fix with Dab solver). Such links are almost always unintended, since a disambiguation page is merely a list of "Did you mean..." article titles. Read the FAQ • Join us at the DPL WikiProject.

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Single-sideband_modulation answer on my biggest Question of life

[edit]

Спасибо! Привет тебе из России. Не хворай ;-) http://translate.google.com/#ru/en/ Xakepp35 (talk) 20:03, 7 February 2013 (UTC)[reply]

You're very welcome. I'm glad to know the answer actually reached you. And thanks for the well wishes. --Bob K (talk) 21:21, 8 February 2013 (UTC)[reply]

Examples of convolution

[edit]

I saw the wiki page, but I couldn't find any examples using actual numbers evaluating the formula. Could you give some examples of convolution, please? Mathijs Krijzer (talk) 22:14, 9 March 2013 (UTC)[reply]

Definition

[edit]

The convolution of f and g is written fg, using an asterisk or star. It is defined as the integral of the product of the two functions after one is reversed and shifted. As such, it is a particular kind of integral transform:

 
      (commutativity)

Domain of definition

[edit]

The convolution of two complex-valued functions on Rd

is well-defined only if f and g decay sufficiently rapidly at infinity in order for the integral to exist. Conditions for the existence of the convolution may be tricky, since a blow-up in g at infinity can be easily offset by sufficiently rapid decay in f. The question of existence thus may involve different conditions on f and g.

Circular discrete convolution

[edit]

When a function gN is periodic, with period N, then for functions, f, such that fgN exists, the convolution is also periodic and identical to:

Circular convolution

[edit]

When a function gT is periodic, with period T, then for functions, f, such that fgT exists, the convolution is also periodic and identical to:

where to is an arbitrary choice. The summation is called a periodic summation of the function f.

Discrete convolution

[edit]

For complex-valued functions f, g defined on the set Z of integers, the discrete convolution of f and g is given by:

      (commutativity)

When multiplying two polynomials, the coefficients of the product are given by the convolution of the original coefficient sequences, extended with zeros where necessary to avoid undefined terms; this is known as the Cauchy product of the coefficients of the two polynomials.

[edit]

Hi. Thank you for your recent edits. Wikipedia appreciates your help. We noticed though that when you edited Nyquist rate, you added a link pointing to the disambiguation page Bandwidth (check to confirm | fix with Dab solver). Such links are almost always unintended, since a disambiguation page is merely a list of "Did you mean..." article titles. Read the FAQ • Join us at the DPL WikiProject.

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Some bubble tea for you!

[edit]
I thought your comment on the technical sophistication of a signls processing article I was reading was very sensible.
David Lloyd-Jones (talk) 22:26, 4 February 2014 (UTC)[reply]

Renaming of Star transform article

[edit]

Please explain the criteria for your assertion that (quote): ""starred transform" receives the higher percentage of relevant hits on the internet", which was your argument for renaming the article "star transform". Consider the following results:

  • "star transform"
    • Google Scholar: 125 results
    • IEEE Xplore: 4 results
  • "starred transform"
    • Google Scholar: 36 results
    • IEEE Xplore: 1 result

Based on these results, I expect you to revert your changes. --Sagie (talk) 13:04, 6 February 2014 (UTC)[reply]

I saw the Google Scholar results, but my informal inspection of the hits revealed that the "star transform" hits were mostly about text compression algorithms, which I assume are irrelevant here. There were many other irrelevant hits as well.
--Bob K (talk) 14:32, 6 February 2014 (UTC)[reply]

Your contributions to Z-transform and Star transform

[edit]

While your contribution to said articles is very appreciated, you have also been systematically deleting information from them. Specifically, you have deleted (twice) information about relationship between the Z-transform and the Laplace transform, by means of the star transform:

  1. in your first edits that relationship was removed altogether.
  2. in your last edits (following my retrieval of said information) you've removed information regarding the conversion from a continuous-time Laplace representation to a discrete time Z/star representation, which is what the star transform is all about, since from before it was even known as star/starred transform (see E. Jury, "Analysis and Synthesis of Sampled-Data Control Systems", Sept. 1954)

While the information about star transform could probably have been presented more succinctly in the Z-transform article, I find removing it altogether is completely unacceptable. I'd appreciate your reinstating of the removed information.

--Sagie (talk) 13:09, 6 February 2014 (UTC)[reply]

Regarding the second point I made, note that you've removed this information from both articles (Z-transform and Star transform)
--Sagie (talk) 13:11, 6 February 2014 (UTC)[reply]


Comparing the current version of Starred transform to the 23Mar'13 version, it appears that what you're concerned about is merely this:

Really?

--Bob K (talk) 15:41, 6 February 2014 (UTC)[reply]

I don't know why you're playing dumb. Your changes to said article are far more than the above mentioned deletion. What I'm mainly concerned about is you deleting the following paragraph, which the main way to convert between the transforms:
The star transform can be related to the Laplace transform, by taking the residues of the Laplace transform of a function, as such:
--Sagie (talk) 12:30, 19 February 2014 (UTC)[reply]

First of all, your point no. 1 is irrelevant. It's quibbling about the route I took, rather than the result. Regarding your point no. 2, indeed I seem to have made a mistake when I tried to compare the Feb 6 version (https://en.wikipedia.org/w/index.php?title=Starred_transform&oldid=594159008) version with the Mar 2013 version (https://en.wikipedia.org/w/index.php?title=Starred_transform&oldid=546556726). Had I done it correctly, my suggestion would have been to better-support the deleted, isolated fragment, as you have now apparently done (Starred_transform#Relation_to_Laplace_transform) on your own. Better. Not sure if your text changes are an improvement though. Not sure that I really care anymore. Perhaps others are watching who will weigh in.
--Bob K (talk) 17:09, 19 February 2014 (UTC)[reply]

Question for you on [Instantaneous phase]]. Does it make sense to you that in the figure, the y-axis has different scale in the top vs the bottom graphs? Thanks. 22:06, 16 June 2014 (UTC)

Since they are being compared side-by-side, one can certainly make a good case for using one scale for both. And by-the-way, phase unwrapping algorithms are not fool-proof when looking at angle-modulated signals with possible smeared 180 degree phase shifts. The approach I've used in systems since the 1970's, is to simply stack three "copies" of the wrapped phase plot vertically, and label the y-axis [-3π,3π]... works like a charm. Another good trick is to not try to "connect the dots" of the graph. Instead, vertically elongate each dot (for instance 1 pixel wide and 8 pixels high), which tends to make them look connected without having to make error-prone algorithmic decisions.
--Bob K (talk) 11:35, 17 June 2014 (UTC)[reply]
Thanks for that, and for the extra advice too! Jytdog (talk) 11:59, 17 June 2014 (UTC)[reply]

Proposed deletion of A derivation of the discrete Fourier transform

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The article A derivation of the discrete Fourier transform has been proposed for deletion because of the following concern:

Unsourced alternative-pov content fork of discrete Fourier transform, written in an essay-like and unencyclopedic way, not suitable for merging.

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FFT of the Window functions

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Hello Bob K,

I've read your posts in the section: Talk:Window function. I posted a question yesterday in that section under the title identical to this post. I would appreciate if you could take a look at it. Thanks much. --AboutFace 22 (talk) 14:50, 17 June 2015 (UTC)[reply]


Decimation (signal processing)

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Hello Bob K, please comment your deleting of my text regarding:

"In the easer case can be use the algorithm:[1]

,

where T is interval between samples of signal."

This Algorithm is very importent for decimation of ADC samples before digital beamforming in digital antenna arrays in radars and MIMO systems in communications. I'm sorry, but I should cancelled your deleting of this text. It's very imporetent for Wiki-readers. Thank you for your understanding. Best regards,Swadim (talk) 08:32, 24 August 2017 (UTC)[reply]

The formula you inserted is not even a function of n. It is just one sample of a discrete Fourier transform, X(f). In the future, please discuss your ideas on the talk page, before changing the article. --Bob K (talk) 12:11, 24 August 2017 (UTC)[reply]

Thank you! I has some mistake on this formula. The true formula is

. For example by we have

and[1]

,
.


For we have

,
.

For video signals ( and )

.

It's enough for your understanding? Swadim (talk) 10:00, 25 August 2017 (UTC)[reply]

References

  1. ^ a b Slyusar V. I. Synthesis of algorithms for measurement of range to M sources with the use of additional gating of the ADC readings.// Radioelectronics and Communications Systems. - Vol. 39. - no. 5. - 1996. - P. 36 – 40. [1]

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A barnstar for you!

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The Editor's Barnstar
Thanks, Bob K, for resolving once and for all (I hope!) the four-year-old controversy about the convolution and cross-correlation graphs in File:comparison_convolution_correlation.svg. Cheers, cmɢʟeeτaʟκ 00:59, 27 November 2016 (UTC)[reply]

Hamming Window Equation

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Bob,

"Introduction to Signal Processing", by Sophocles J. Orfanidis shows the equation for the Hamming Window like the one shown in Equation \ref{eqn:orfanidis_hamming}. However, MATLAB, and "Digital Signal Processing Using MATLAB", by Ingle and Proakis show the Hamming Window as shown in Equation \ref{eqn:ingle_hamming}. \begin{equation}

 \label{eqn:orfanidis_hamming}
 w(m)=0.54+0.46cos(\frac{\pi m}{M})

\end{equation} \begin{equation}

 \label{eqn:ingle_hamming}
 w(m)=0.54-0.46cos(\frac{\pi m}{M})

\end{equation}

If I plot both of these, only Equation \ref{eqn:ingle_hamming} appears and behaves like a Hamming Window. Have you tried plotting Equation \ref{eqn:orfanidis_hamming}?


The Orfanidis formula is zero-phase, w0(n). The Matlab formula is w[n], as clearly defined in the article. The zero-phase formula will also look and behave like a Hamming window, when you are windowing data between -N/2 and N/2.
--Bob K (talk) 14:39, 26 September 2017 (UTC)[reply]

Thank you sincerely for the edification. I'm definitely a newly at DSP and did not recognize the condition, just that I've tried entering that equation several times in MATLAB and other tools and don't get what I need.

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Bandwidth of an AM signal

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Bob_K, please see https://en.wikipedia.org/wiki/Talk:Single-sideband_modulation#Bandwidth_of_an_AM_signal

Expansion

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Bob, expansion is a good concept to add, but in practice upsampling is not implemented in two steps like that. I'd rewrite the lead to describe the net process instead of the steps. Dicklyon (talk) 16:51, 17 November 2018 (UTC)[reply]

Hi Dick. I think we're covered, because the very next paragraph begins with "Rate increase by an integer factor L can be explained as a 2-step process, with an equivalent implementation that is more efficient:"
I recall at the time we were writing the lede, it seemed very likely that people would come to Upsampling expecting to read about Expansion. So it seemed important to be clear about the terminology right up front. Anyhow, feel free to take your own suggestion. I'm sure you'll do a great job.
--Bob K (talk) 22:00, 17 November 2018 (UTC)[reply]

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Fourier Transform time shifting animation

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Hi Bob,

I've noticed you undid my contribution of the animation on the wikipeida page witht the comment "I am familiar with the subject, but can't make sense out of the gif. Sorry. Looks like you put a lot of effort into it!"

I have to say that someone else may find the animaion helpful, I suggest adding a discussion on the talk page about it and see if a general concensous can be reached in regards to it.

For now i've added it back in and started the topic on the talk page

Davidjessop (talk) 09:10, 24 February 2019 (UTC)[reply]

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Congrats!

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Hi, Bob. Congratulations on the Yankee Dutch Crossing article! You should tell Gaye. I'll bet she'll be delighted. I assume you are Bob Kettig, and that you contra dance at Glen Echo. We haven't really met, but we've seen each other on the dance floor. BTW, I recently moved all the external links in the contra article. They need to be cleaned up and, especially, pruned. Maybe we could collaborate on that. Paulmlieberman (talk) 14:42, 6 May 2020 (UTC)[reply]

Thanks Paul, and yes I am Kettig, and I know you too. My suggestion for what to do next is move the band links to the External links section.
--Bob K (talk) 22:02, 6 May 2020 (UTC)[reply]
Congrats, Bob K! @Paulmlieberman: it looks like everything is good here, but do please be careful not to accidentally out anyone (WP:OUTING) — people prefer varying degrees of anonymity on Wikipedia, and for privacy it's best to assume they may not want to disclose more than they have on their user page. Off-wiki communications are fine, though; we need all the social connection we can get during this time . Cheers, {{u|Sdkb}}talk 00:51, 9 May 2020 (UTC)[reply]
Actually, you are the one who has mentioned both my surname and a heretofore unmentioned first name (Gaye). Have I mentioned any names that give rise to your concern? --Bob K (talk) 01:24, 9 May 2020 (UTC)[reply]
@Bob K: I was addressing Paulmlieberman there (I'm a different user than him, although also a dancer!). I wish talk pages were better formatted to make it easier to tell everyone apart haha. Cheers, {{u|Sdkb}}talk 01:30, 9 May 2020 (UTC)[reply]
Doh! Thanks for clearing that up. Now of course, it's obvious. Your sig just did not "compute", and I just disregarded it. --Bob K (talk) 01:43, 9 May 2020 (UTC)[reply]
BTW, I have also authored a Salty Dog Rag article... just trying to stay relevant, during the pandemic.
--Bob K (talk) 22:46, 8 May 2020 (UTC)[reply]

Thanks guys! My apologies for naming names here. If I ever feel the urge again, I'll do it on FB. God, I miss contra! Paulmlieberman (talk) 02:01, 9 May 2020 (UTC)[reply]

No worries, Paul. When I started on Wikipedia, 15 years ago, I was reluctant to use my full name, and that just became my "normal". With 20/20 hindsight, if I had it to do over again, I'd use my full name, not because I care about recognition (I don't), but just because Wikipedia has gained my trust.
--Bob K (talk) 02:12, 9 May 2020 (UTC)[reply]

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An automated process has detected that when you recently edited Discrete-time Fourier transform, you added a link pointing to the disambiguation page Normalized frequency.

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You might be interested to know that User:Gkl329Hf293 has also been reverting edits to Dirac delta function with no explanation and I have reported them for edit warring at [3]. Elwoz (talk) 20:44, 25 September 2021 (UTC)[reply]

Thank you. I was hoping someone else would step in. I didn't (and still don't) know any other way to handle that situation. --Bob K (talk) 12:24, 26 September 2021 (UTC)[reply]
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Wrap control

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In this edit you removed non-breaking spaces between numbers and units. These are generally desirable per MOS:NBSP. The edit includes other formatting changes that I assume are good so I did not not revert. Would you mind cleaning this up? ~Kvng (talk) 15:50, 17 August 2024 (UTC)[reply]

Yes sir, and I thank you. I will try. I was using the edit, not edit source, and I did not understand the grey colored things that just seemed annoying at the time. Please feel free to help me where I inevitably fall short. --Bob K (talk) 22:11, 17 August 2024 (UTC)[reply]

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