Source Separation and Localization Using Time-Frequency Distributions: An Overview

In this article, we describe the role of time-frequency distributions (TFDs) in array processing. We particularly focus on quadratic TFDs (QTFDs). We demonstrate how these distributions can be properly integrated with the spatial dimension to enhance individual source signal recovery and angular estimation. The framework that enables such integration is referred to as spatial TFD (STFD). We present the important milestones of STFDs that have been reached during the last 15 years. Most importantly, we show that array processing creates new perspectives of QTFDs and defines new roles to the autoterms and cross-terms in both problem formulation and solution. Multisensor configurations, in essence, establish a different paradigm and introduces new challenges that did not exist in a single-sensor time-frequency distribution.

[1]  G.M.A. El-Raheem,et al.  Blind source separation using time-frequency distribution , 2004, Proceedings of the Twenty-First National Radio Science Conference, 2004. NRSC 2004..

[2]  Boualem Boashash,et al.  Time-Frequency Signal Analysis and Processing: A Comprehensive Reference , 2015 .

[3]  Yimin Zhang,et al.  Submitted to Ieee Transactions on Signal Processing (revised) Array Processing for Nonstationary Interference Suppression in Ds/ss Communications Using Subspace Projection Techniques , 2022 .

[4]  Moeness G. Amin,et al.  Blind source separation based on time-frequency signal representations , 1998, IEEE Trans. Signal Process..

[5]  Eric Moulines,et al.  A blind source separation technique using second-order statistics , 1997, IEEE Trans. Signal Process..

[6]  El Mostafa Fadaili,et al.  Nonorthogonal Joint Diagonalization/Zero Diagonalization for Source Separation Based on Time-Frequency Distributions , 2007, IEEE Transactions on Signal Processing.

[7]  Satoshi Ebihara,et al.  Blind Separation for Estimation of Near-Surface Interface by GPR with Time-Frequency Distribution , 2003 .

[8]  Abdelhak M. Zoubir,et al.  Joint anti-diagonalization for blind source separation , 2001, 2001 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.01CH37221).

[9]  Joerg F. Hipp,et al.  Time-Frequency Analysis , 2014, Encyclopedia of Computational Neuroscience.

[10]  Ruqiang Yan,et al.  Wavelets: Theory and Applications for Manufacturing , 2010 .

[11]  Yimin Zhang,et al.  Subspace analysis of spatial time-frequency distribution matrices , 2001, IEEE Trans. Signal Process..

[12]  M.G. Amin,et al.  Wideband direction-of-arrival estimation of multiple chirp signals using spatial time-frequency distributions , 2000, IEEE Signal Processing Letters.

[13]  Moeness G. Amin,et al.  Time-frequency MUSIC , 1999, IEEE Signal Processing Letters.

[14]  Jonathon A. Chambers,et al.  Active source selection using gap statistics for underdetermined blind source separation , 2003, Seventh International Symposium on Signal Processing and Its Applications, 2003. Proceedings..

[15]  Braham Himed,et al.  Direction-of-arrival estimation of nonstationary signals exploiting signal characteristics , 2012, 2012 11th International Conference on Information Science, Signal Processing and their Applications (ISSPA).

[16]  Boualem Boashash,et al.  Separating More Sources Than Sensors Using Time-Frequency Distributions , 2005, EURASIP J. Adv. Signal Process..

[17]  Yimin Zhang,et al.  Time-frequency maximum likelihood methods for direction finding , 2000, J. Frankl. Inst..

[18]  Yimin Zhang,et al.  Bilinear signal synthesis in array processing , 2003, IEEE Trans. Signal Process..

[19]  Hicham Ghennioui,et al.  Nonorthogonal joint diagonalization of spatial quadratic time-frequency matrices for source separation , 2005, IEEE Signal Processing Letters.

[20]  Adel Belouchrani,et al.  A one step time-frequency blind identification , 2003, Seventh International Symposium on Signal Processing and Its Applications, 2003. Proceedings..

[21]  Cédric Févotte,et al.  Two contributions to blind source separation using time-frequency distributions , 2004, IEEE Signal Processing Letters.

[22]  Özgür Yilmaz,et al.  On the approximate W-disjoint orthogonality of speech , 2002, 2002 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[23]  Ning Ma,et al.  Ambiguity-function-based techniques to estimate DOA of broadband chirp signals , 2006, IEEE Transactions on Signal Processing.

[24]  Marc Saillard,et al.  Electromagnetic probing for target detection: rejection of surface clutter based on the Wigner distribution. , 2009, Journal of the Optical Society of America. A, Optics, image science, and vision.

[25]  Khaled H. Hamed,et al.  Time-frequency analysis , 2003 .

[26]  Jing Guo,et al.  Blind source separation based on high-resolution time-frequency distributions , 2012, Comput. Electr. Eng..

[27]  L. Cirillo Narrowband Array Signal Processing Using Time-Frequency Distributions , 2007 .

[28]  A. Belouchrani,et al.  The spatial ambiguity function and its applications , 2000, IEEE Signal Processing Letters.

[29]  Braham Himed,et al.  Altitude estimation of maneuvering targets in mimo over-the-horizon radar , 2012, 2012 IEEE 7th Sensor Array and Multichannel Signal Processing Workshop (SAM).

[30]  C. Gervaise,et al.  Contributions to passive acoustic oceanic tomography - inversion algorithms based on time frequency space representation for multiple hydrophones processing , 2005, Europe Oceans 2005.

[31]  Laurent Giulieri Séparation aveugle de sources basée sur l'utilisation des transformées spatiales quadratiques , 2003 .