A Time-Frequency Domain Underdetermined Blind Source Separation Algorithm for MIMO Radar Signals

This paper considers the underdetermined blind separation of multiple input multiple output (MIMO) radar signals that are insufficiently sparse in both time and frequency domains under noisy conditions, while traditional algorithms are usually applied in the ideal sparse environment. An effective se...

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Main Authors: Qiang Guo, Guoqing Ruan, Yanping Liao
Format: Article
Language:English
Published: MDPI AG 2017-07-01
Series:Symmetry
Subjects:
Online Access:https://www.mdpi.com/2073-8994/9/7/104
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author Qiang Guo
Guoqing Ruan
Yanping Liao
author_facet Qiang Guo
Guoqing Ruan
Yanping Liao
author_sort Qiang Guo
collection DOAJ
description This paper considers the underdetermined blind separation of multiple input multiple output (MIMO) radar signals that are insufficiently sparse in both time and frequency domains under noisy conditions, while traditional algorithms are usually applied in the ideal sparse environment. An effective separation method based on single source point (SSP) identification and time-frequency smoothed l 0 norm (TF-SL0) is proposed. Firstly, a preprocessing step of the moving average filter and a novel argument-based time-frequency SSPs detection are employed to improve the signal-to-noise ratio and signal sparsity of the observed signals, respectively. Then, the mixing matrix is obtained by using clustering algorithms. Secondly, to obtain the optimal solution of underdetermined sparse component analysis, the smoothed l 0 norm (SL0) is introduced to preliminarily achieve signal separation in the time-frequency domain. Finally, time-frequency ridge estimation is proposed to jointly enhance the reconstruction accuracy of the MIMO radar signals, and the time domain waveforms are recovered by the model of the signals. Simulations illustrate the validity of the method and show that the proposed method outperforms the traditional methods in source separation, especially in the non-cooperative electromagnetic case where the prior information is unknown.
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spelling doaj.art-c649282717364cdfb2160c4743c831182022-12-22T04:21:16ZengMDPI AGSymmetry2073-89942017-07-019710410.3390/sym9070104sym9070104A Time-Frequency Domain Underdetermined Blind Source Separation Algorithm for MIMO Radar SignalsQiang Guo0Guoqing Ruan1Yanping Liao2College of Information and Communication Engineering, Harbin Engineering University, Harbin 150001, ChinaCollege of Information and Communication Engineering, Harbin Engineering University, Harbin 150001, ChinaCollege of Information and Communication Engineering, Harbin Engineering University, Harbin 150001, ChinaThis paper considers the underdetermined blind separation of multiple input multiple output (MIMO) radar signals that are insufficiently sparse in both time and frequency domains under noisy conditions, while traditional algorithms are usually applied in the ideal sparse environment. An effective separation method based on single source point (SSP) identification and time-frequency smoothed l 0 norm (TF-SL0) is proposed. Firstly, a preprocessing step of the moving average filter and a novel argument-based time-frequency SSPs detection are employed to improve the signal-to-noise ratio and signal sparsity of the observed signals, respectively. Then, the mixing matrix is obtained by using clustering algorithms. Secondly, to obtain the optimal solution of underdetermined sparse component analysis, the smoothed l 0 norm (SL0) is introduced to preliminarily achieve signal separation in the time-frequency domain. Finally, time-frequency ridge estimation is proposed to jointly enhance the reconstruction accuracy of the MIMO radar signals, and the time domain waveforms are recovered by the model of the signals. Simulations illustrate the validity of the method and show that the proposed method outperforms the traditional methods in source separation, especially in the non-cooperative electromagnetic case where the prior information is unknown.https://www.mdpi.com/2073-8994/9/7/104blind source separationunderdetermined mixturesMIMO radar signalssingle source points identificationsparse recovery
spellingShingle Qiang Guo
Guoqing Ruan
Yanping Liao
A Time-Frequency Domain Underdetermined Blind Source Separation Algorithm for MIMO Radar Signals
Symmetry
blind source separation
underdetermined mixtures
MIMO radar signals
single source points identification
sparse recovery
title A Time-Frequency Domain Underdetermined Blind Source Separation Algorithm for MIMO Radar Signals
title_full A Time-Frequency Domain Underdetermined Blind Source Separation Algorithm for MIMO Radar Signals
title_fullStr A Time-Frequency Domain Underdetermined Blind Source Separation Algorithm for MIMO Radar Signals
title_full_unstemmed A Time-Frequency Domain Underdetermined Blind Source Separation Algorithm for MIMO Radar Signals
title_short A Time-Frequency Domain Underdetermined Blind Source Separation Algorithm for MIMO Radar Signals
title_sort time frequency domain underdetermined blind source separation algorithm for mimo radar signals
topic blind source separation
underdetermined mixtures
MIMO radar signals
single source points identification
sparse recovery
url https://www.mdpi.com/2073-8994/9/7/104
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AT guoqingruan atimefrequencydomainunderdeterminedblindsourceseparationalgorithmformimoradarsignals
AT yanpingliao atimefrequencydomainunderdeterminedblindsourceseparationalgorithmformimoradarsignals
AT qiangguo timefrequencydomainunderdeterminedblindsourceseparationalgorithmformimoradarsignals
AT guoqingruan timefrequencydomainunderdeterminedblindsourceseparationalgorithmformimoradarsignals
AT yanpingliao timefrequencydomainunderdeterminedblindsourceseparationalgorithmformimoradarsignals