Robust DOA estimation for burst impulsive noise

Abstract This paper describes a robust sparse Bayesian learning approach for DOA estimation in the presence of impulsive noise. In practical situations, impulses in the noise often appear in bursts, resulting in structured rather than independent sparsity, which can be exploited to enhance DOA estimation performance. However, there is no method available for capturing the realistic burst structure of impulsive noise in the literature. In this paper, we model the structured impulsive noise with a novel two-dimensional burst prior and develop a robust variational Bayesian inference (VBI) framework for DOA estimation under burst impulsive noise, and an improved grid refinement method is further proposed to adjust grid points of the dictionary matrix, which can combat the off-grid gap more efficiently. The superior impulse-resistant DOA estimation performance and computational efficiency of our proposed method are verified by simulation results.

[1]  R. Michael Buehrer,et al.  Source Localization: Algorithms and Analysis , 2012 .

[2]  Jisheng Dai,et al.  Sparse Bayesian Learning for DOA Estimation with Recursive Grid-Refining , 2018, 2018 IEEE 10th Sensor Array and Multichannel Signal Processing Workshop (SAM).

[3]  Cao Zheng,et al.  Sparse Bayesian Approach for DOD and DOA Estimation With Bistatic MIMO Radar , 2019 .

[4]  Lutz Lampe,et al.  Bursty impulse noise detection by compressed sensing , 2011, 2011 IEEE International Symposium on Power Line Communications and Its Applications.

[5]  Hing Cheung So,et al.  Sparse Bayesian Learning Approach for Outlier-Resistant Direction-of-Arrival Estimation , 2018, IEEE Transactions on Signal Processing.

[6]  D.G. Tzikas,et al.  The variational approximation for Bayesian inference , 2008, IEEE Signal Processing Magazine.

[7]  Nan Hu,et al.  DOA Estimation for Sparse Array via Sparse Signal Reconstruction , 2013, IEEE Transactions on Aerospace and Electronic Systems.

[8]  Muralidhar Rangaswamy,et al.  Computer generation of correlated non-Gaussian radar clutter , 1995 .

[9]  Michael Muma,et al.  Robust Estimation in Signal Processing: A Tutorial-Style Treatment of Fundamental Concepts , 2012, IEEE Signal Processing Magazine.

[10]  George Eastman House,et al.  Sparse Bayesian Learning and the Relevan e Ve tor Ma hine , 2001 .

[11]  Tülay Adali,et al.  A Complex Generalized Gaussian Distribution— Characterization, Generation, and Estimation , 2010, IEEE Transactions on Signal Processing.

[12]  R. O. Schmidt,et al.  Multiple emitter location and signal Parameter estimation , 1986 .

[13]  Vincent K. N. Lau,et al.  Distributed Compressive CSIT Estimation and Feedback for FDD Multi-User Massive MIMO Systems , 2014, IEEE Transactions on Signal Processing.

[14]  Cishen Zhang,et al.  Off-Grid Direction of Arrival Estimation Using Sparse Bayesian Inference , 2011, IEEE Transactions on Signal Processing.

[15]  Jiacheng Zhang,et al.  Bounded non-linear covariance based ESPRIT method for noncircular signals in presence of impulsive noise , 2019, Digit. Signal Process..

[16]  Chrysostomos L. Nikias,et al.  Maximum likelihood localization of sources in noise modeled as a stable process , 1995, IEEE Trans. Signal Process..

[17]  K. Dostert,et al.  Analysis and modeling of impulsive noise in broad-band powerline communications , 2002 .

[18]  Mohammed Nabil El Korso,et al.  MIMO Radar Target Localization and Performance Evaluation under SIRP Clutter , 2016, Signal Process..

[19]  Jun Fang,et al.  Pattern-Coupled Sparse Bayesian Learning for Recovery of Block-Sparse Signals , 2015, IEEE Trans. Signal Process..

[20]  Brian M. Sadler,et al.  Performance analysis for direction finding in non-Gaussian noise , 1999, 1999 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings. ICASSP99 (Cat. No.99CH36258).

[21]  C. L. Nikias,et al.  Signal processing with alpha-stable distributions and applications , 1995 .

[22]  Bhaskar D. Rao,et al.  Sparse Bayesian learning for basis selection , 2004, IEEE Transactions on Signal Processing.

[23]  Jisheng Dai,et al.  Robust sparse Bayesian learning for DOA estimation in impulsive noise environments , 2020, Signal Process..

[24]  Jisheng Dai,et al.  Sparse Bayesian learning for off-grid DOA estimation with nested arrays , 2018, Digit. Signal Process..

[25]  M. Viberg,et al.  Two decades of array signal processing research: the parametric approach , 1996, IEEE Signal Process. Mag..

[26]  Brian M. Sadler,et al.  Maximum-likelihood array processing in non-Gaussian noise with Gaussian mixtures , 2000, IEEE Trans. Signal Process..

[27]  Dmitry M. Malioutov,et al.  A sparse signal reconstruction perspective for source localization with sensor arrays , 2005, IEEE Transactions on Signal Processing.

[28]  Vincent K. N. Lau,et al.  FDD Massive MIMO Channel Estimation With Arbitrary 2D-Array Geometry , 2017, IEEE Transactions on Signal Processing.

[29]  Romain Couillet,et al.  Robust Estimates of Covariance Matrices in the Large Dimensional Regime , 2012, IEEE Transactions on Information Theory.

[30]  Tianshuang Qiu,et al.  Direction finding in non-Gaussian impulsive noise environments , 2007, Digit. Signal Process..

[31]  Lei Huang,et al.  $\ell _{p}$-MUSIC: Robust Direction-of-Arrival Estimator for Impulsive Noise Environments , 2013, IEEE Transactions on Signal Processing.

[32]  Philippe Forster,et al.  Asymptotic Properties of Robust Complex Covariance Matrix Estimates , 2012, IEEE Transactions on Signal Processing.

[33]  P. Rocca,et al.  Directions-of-Arrival Estimation Through Bayesian Compressive Sensing Strategies , 2013, IEEE Transactions on Antennas and Propagation.

[34]  Jisheng Dai,et al.  Robust Bayesian learning approach for massive MIMO channel estimation , 2020, Signal Process..

[35]  Jisheng Dai,et al.  Root Sparse Bayesian Learning for Off-Grid DOA Estimation , 2016, IEEE Signal Processing Letters.

[36]  Thomas Kailath,et al.  ESPRIT-estimation of signal parameters via rotational invariance techniques , 1989, IEEE Trans. Acoust. Speech Signal Process..

[37]  Cishen Zhang,et al.  Block-Sparse Impulsive Noise Reduction in OFDM Systems—A Novel Iterative Bayesian Approach , 2016, IEEE Transactions on Communications.

[38]  Hing-Cheung So,et al.  Robust Multi-Dimensional Harmonic Retrieval Using Iteratively Reweighted HOSVD , 2015, IEEE Signal Processing Letters.

[39]  Hing Cheung So,et al.  Non-Uniform Burst-Sparsity Learning for Massive MIMO Channel Estimation , 2019, IEEE Transactions on Signal Processing.

[40]  Meisam Razaviyayn,et al.  Successive Convex Approximation: Analysis and Applications , 2014 .

[41]  Brian M. Sadler,et al.  Robust subspace estimation in non-Gaussian noise , 2000, 2000 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.00CH37100).