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A Mixing Matrix Estimation Algorithm for the Time-Delayed Mixing Model of the Underdetermined Blind Source Separation Problem

Authors:

Qian SunAuthors Info & Claims

Circuits, Systems, and Signal Processing, Volume 38, Issue 4

Pages 1889 - 1906

https://doi.org/10.1007/s00034-018-0930-5

Published: 01 April 2019 Publication History

Abstract

Considering the time-delayed mixing model of the underdetermined blind source separation problem, we propose a novel mixing matrix estimation algorithm in this paper. First, we introduce the short-time Fourier transform (STFT) to transform the mixed signals from the time domain to the time---frequency domain. Second, a neoteric transformation matrix is addressed to construct the linear clustering property of STFT coefficients. Then, a preeminent detection algorithm is raised to identify the single source points. After eliminating the low-energy points and outliers in the time---frequency domain, a potential function of clustering approach is put forward to cluster the single source points and obtain the clustering centers. Finally, the mixing matrix can be estimated through the derivation and calculation. The experimental results validate that the proposed algorithm not only accurately estimates the mixing matrix for the time-delayed mixing model of the underdetermined blind source separation problem but also has certain universality for different array structures. Therefore, both the effectiveness and superiority of the proposed algorithm have been verified.

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Cited By

Erfanifar RHajarian M(2024)Fixed-Point Iteration Schemes to Solve Symmetric Algebraic Riccati Equation Circuits, Systems, and Signal Processing10.1007/s00034-024-02650-043:6(3516-3532)Online publication date: 1-Jun-2024
https://dl.acm.org/doi/10.1007/s00034-024-02650-0
Bai XFu WZhou CLiu Y(2021)Mixing Matrix Estimation Algorithm for Time-Varying Radar Signals in a Dynamic System Under UBSS ModelCircuits, Systems, and Signal Processing10.1007/s00034-020-01614-440:6(3075-3098)Online publication date: 1-Jun-2021
https://dl.acm.org/doi/10.1007/s00034-020-01614-4

A Mixing Matrix Estimation Algorithm for the Time-Delayed Mixing Model of the Underdetermined Blind Source Separation Problem
1. Hardware
  1. Communication hardware, interfaces and storage

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cover image Circuits, Systems, and Signal Processing

Circuits, Systems, and Signal Processing Volume 38, Issue 4

April 2019

494 pages

ISSN:0278-081X

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Copyright © Copyright © 2019 Springer Science+Business Media, LLC, part of Springer Nature.

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Birkhauser Boston Inc.

United States

Publication History

Published: 01 April 2019

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Cited By

Erfanifar RHajarian M(2024)Fixed-Point Iteration Schemes to Solve Symmetric Algebraic Riccati Equation Circuits, Systems, and Signal Processing10.1007/s00034-024-02650-043:6(3516-3532)Online publication date: 1-Jun-2024
https://dl.acm.org/doi/10.1007/s00034-024-02650-0
Bai XFu WZhou CLiu Y(2021)Mixing Matrix Estimation Algorithm for Time-Varying Radar Signals in a Dynamic System Under UBSS ModelCircuits, Systems, and Signal Processing10.1007/s00034-020-01614-440:6(3075-3098)Online publication date: 1-Jun-2021
https://dl.acm.org/doi/10.1007/s00034-020-01614-4

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