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A Modified Source Number Estimation Method based on Wavelet Analysis and Singular Value Decomposition

Published: 02 November 2018 Publication History

Abstract

In underdetermined blind source separation (BSS) algorithms, source number estimation is a precondition and a difficulty. An improved source number estimation method based on wavelet analysis and singular value decomposition is pro-posed. First, the whitened observed signals are decomposed by wavelet analysis method. Next, the decomposed wavelet coefficients are reconstructed separately. Low frequency wavelet coefficients, the highest frequency wavelet coefficients, and original observed signals are chosen to form a new observed signals matrix. Then, covariance matrix of this new signal matrix is calculated, and eigenvalues of covariance matrix are calculated. Based on the obtained eigenvalues, a new calculation formula of judging threshold for source signals and noise is proposed. The proposed algorithm is validated by simulation.

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  • (2022)A novel underdetermined source number estimation for coupled vibration sources of mechanical fault based on variational mode decompositionJournal of Mechanical Science and Technology10.1007/s12206-022-0110-136:2(621-635)Online publication date: 2-Feb-2022

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  1. A Modified Source Number Estimation Method based on Wavelet Analysis and Singular Value Decomposition

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    cover image ACM Other conferences
    ICCNS '18: Proceedings of the 8th International Conference on Communication and Network Security
    November 2018
    166 pages
    ISBN:9781450365673
    DOI:10.1145/3290480
    Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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    Publication History

    Published: 02 November 2018

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    Author Tags

    1. singular value decomposition
    2. source number estimation
    3. underdetermined blind source separation
    4. wavelet analysis

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    • (2022)A novel underdetermined source number estimation for coupled vibration sources of mechanical fault based on variational mode decompositionJournal of Mechanical Science and Technology10.1007/s12206-022-0110-136:2(621-635)Online publication date: 2-Feb-2022

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