Focused Compressive Sensing for Underdetermined Wideband DOA Estimation Exploiting High-Order Difference Coarrays

Group-sparsity-based method is applied to the <inline-formula><tex-math notation="LaTeX">$2q$</tex-math> </inline-formula>th-order difference coarray for underdetermined wideband direction of arrival (DOA) estimation. For complexity reduction, a focused compressive-sensing-based approach is proposed, without sacrificing its performance. Different from the conventional focusing approach, in the proposed one, focusing is applied to the virtual arrays and no preliminary DOA estimation is required. Simulation results are provided to demonstrate the effectiveness of the proposed methods.

[1]  Arye Nehorai,et al.  Improved Source Number Detection and Direction Estimation With Nested Arrays and ULAs Using Jackknifing , 2013, IEEE Transactions on Signal Processing.

[2]  Braham Himed,et al.  Sparsity-based DOA estimation using co-prime arrays , 2013, 2013 IEEE International Conference on Acoustics, Speech and Signal Processing.

[3]  Yimin Zhang,et al.  Generalized Coprime Array Configurations for Direction-of-Arrival Estimation , 2015, IEEE Transactions on Signal Processing.

[4]  P. Vaidyanathan,et al.  Coprime sampling and the music algorithm , 2011, 2011 Digital Signal Processing and Signal Processing Education Meeting (DSP/SPE).

[5]  Arye Nehorai,et al.  Sparse Direction of Arrival Estimation Using Co-Prime Arrays with Off-Grid Targets , 2014, IEEE Signal Processing Letters.

[6]  Arye Nehorai,et al.  Joint Sparse Recovery Method for Compressed Sensing With Structured Dictionary Mismatches , 2013, IEEE Transactions on Signal Processing.

[7]  Laurent Albera,et al.  On the virtual array concept for higher order array processing , 2005, IEEE Transactions on Signal Processing.

[8]  A. Ferreol,et al.  High-Resolution Direction Finding From Higher Order Statistics: The$2rm q$-MUSIC Algorithm , 2006, IEEE Transactions on Signal Processing.

[9]  Xiaodong Li,et al.  A novel wideband DOA estimator based on Khatri-Rao subspace approach , 2011, Signal Process..

[10]  Laurent Albera,et al.  Sequential High-Resolution Direction Finding From Higher Order Statistics , 2010, IEEE Transactions on Signal Processing.

[11]  Jerry M. Mendel,et al.  Tutorial on higher-order statistics (spectra) in signal processing and system theory: theoretical results and some applications , 1991, Proc. IEEE.

[12]  Braham Himed,et al.  DOA estimation using a sparse uniform linear array with two CW signals of co-prime frequencies , 2013, 2013 5th IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP).

[13]  Eric Moulines,et al.  Asymptotic performance analysis of direction-finding algorithms based on fourth-order cumulants , 1995, IEEE Trans. Signal Process..

[14]  P. P. Vaidyanathan,et al.  Remarks on the Spatial Smoothing Step in Coarray MUSIC , 2015, IEEE Signal Processing Letters.

[15]  Hong Wang,et al.  Coherent signal-subspace processing for the detection and estimation of angles of arrival of multiple wide-band sources , 1985, IEEE Trans. Acoust. Speech Signal Process..

[16]  Wei Cui,et al.  Group sparsity based wideband DOA estimation for co-prime arrays , 2014, 2014 IEEE China Summit & International Conference on Signal and Information Processing (ChinaSIP).

[17]  Georgios B. Giannakis,et al.  Sparsity-Cognizant Total Least-Squares for Perturbed Compressive Sampling , 2010, IEEE Transactions on Signal Processing.

[18]  Wei Cui,et al.  Underdetermined wideband DOA estimation of off-grid sources employing the difference co-array concept , 2017, Signal Process..

[19]  Wei Cui,et al.  Extension of Co-Prime Arrays Based on the Fourth-Order Difference Co-Array Concept , 2016, IEEE Signal Processing Letters.

[20]  R. T. Hoctor,et al.  The unifying role of the coarray in aperture synthesis for coherent and incoherent imaging , 1990, Proc. IEEE.

[21]  Wei Cui,et al.  Low-Complexity Direction-of-Arrival Estimation Based on Wideband Co-Prime Arrays , 2015, IEEE/ACM Transactions on Audio, Speech, and Language Processing.

[22]  A. Moffet Minimum-redundancy linear arrays , 1968 .

[23]  Mostafa Kaveh,et al.  Focussing matrices for coherent signal-subspace processing , 1988, IEEE Trans. Acoust. Speech Signal Process..

[24]  Cishen Zhang,et al.  Robustly Stable Signal Recovery in Compressed Sensing With Structured Matrix Perturbation , 2011, IEEE Transactions on Signal Processing.

[25]  P. P. Vaidyanathan,et al.  Nested Arrays: A Novel Approach to Array Processing With Enhanced Degrees of Freedom , 2010, IEEE Transactions on Signal Processing.

[26]  Arye Nehorai,et al.  Nested Array Processing for Distributed Sources , 2014, IEEE Signal Processing Letters.

[27]  P. P. Vaidyanathan,et al.  Pushing the Limits of Sparse Support Recovery Using Correlation Information , 2015, IEEE Transactions on Signal Processing.

[28]  Stephen P. Boyd,et al.  Graph Implementations for Nonsmooth Convex Programs , 2008, Recent Advances in Learning and Control.

[29]  P. P. Vaidyanathan,et al.  Sparse Sensing With Co-Prime Samplers and Arrays , 2011, IEEE Transactions on Signal Processing.

[30]  James H. McClellan,et al.  TOPS: new DOA estimator for wideband signals , 2006, IEEE Transactions on Signal Processing.

[31]  P. P. Vaidyanathan,et al.  Multiple Level Nested Array: An Efficient Geometry for $2q$th Order Cumulant Based Array Processing , 2012, IEEE Transactions on Signal Processing.

[32]  A. Robert Calderbank,et al.  Sensitivity to Basis Mismatch in Compressed Sensing , 2010, IEEE Transactions on Signal Processing.

[33]  M. Zatman,et al.  How narrow is narrowband , 1998 .