High-resolution ISAR imaging of fast rotating targets based on pattern-coupled Bayesian strategy for multiple measurement vectors

Abstract Very high resolution inverse synthetic aperture radar (ISAR) imaging of fast rotating targets is a complicated task. There may be insufficient pulses or may introduce migration through range cells (MTRC) during the coherent processing interval (CPI) when we use the conventional range Doppler (RD) ISAR technique. With compressed sensing (CS) technique, we can achieve the high-resolution ISAR imaging of a target with limited number of pulses. Sparse representation based method can achieve the super resolution ISAR imaging of a target with a short CPI, during which the target rotates only a small angle and the range migration of the scatterers is small. However, traditional CS-based ISAR imaging method generally faced with the problem of basis mismatch, which may degrade the ISAR image. To achieve the high resolution ISAR imaging of fast rotating targets, this paper proposed a pattern-coupled sparse Bayesian learning method for multiple measurement vectors, i.e. the PC-MSBL algorithm. A multi-channel pattern-coupled hierarchical Gaussian prior is proposed to model the pattern dependencies among neighboring range cells and correct the MTRC problem. The expectation-maximization (EM) algorithm is used to infer the maximum a posterior (MAP) estimate of the hyperparameters. Simulation results validate the effectiveness and superiority of the proposed algorithm.

[1]  Qiang Fu,et al.  High-Resolution Fully Polarimetric ISAR Imaging Based on Compressive Sensing , 2014, IEEE Transactions on Geoscience and Remote Sensing.

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

[3]  Lu Wang,et al.  Sparse Representation-Based ISAR Imaging Using Markov Random Fields , 2015, IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing.

[4]  Mengdao Xing,et al.  Achieving Higher Resolution ISAR Imaging With Limited Pulses via Compressed Sampling , 2009, IEEE Geoscience and Remote Sensing Letters.

[5]  Zheng Bao,et al.  Superresolution ISAR Imaging Based on Sparse Bayesian Learning , 2014, IEEE Transactions on Geoscience and Remote Sensing.

[6]  R. Baraniuk,et al.  Compressive Radar Imaging , 2007, 2007 IEEE Radar Conference.

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

[8]  Taner Ince,et al.  On the perturbation of measurement matrix in non-convex compressed sensing , 2014, Signal Process..

[9]  Xiaowei Hu,et al.  High-Resolution Imaging and 3-D Reconstruction of Precession Targets by Exploiting Sparse Apertures , 2017, IEEE Transactions on Aerospace and Electronic Systems.

[10]  Sabine Van Huffel,et al.  Robust Sparse Signal Recovery for Compressed Sensing with Sampling and Dictionary Uncertainties , 2013, ArXiv.

[11]  Bhaskar D. Rao,et al.  Sparse solutions to linear inverse problems with multiple measurement vectors , 2005, IEEE Transactions on Signal Processing.

[12]  Gang Li,et al.  Parametric sparse representation method for ISAR imaging of rotating targets , 2014, IEEE Transactions on Aerospace and Electronic Systems.

[13]  Xiaowei Hu,et al.  Moving Target's HRRP Synthesis With Sparse Frequency-Stepped Chirp Signal via Atomic Norm Minimization , 2016, IEEE Signal Processing Letters.

[14]  Rodney A. Kennedy,et al.  Effects of basis-mismatch in compressive sampling of continuous sinusoidal signals , 2010, 2010 2nd International Conference on Future Computer and Communication.

[15]  Ahmed Shaharyar Khwaja,et al.  Compressed Sensing ISAR Reconstruction in the Presence of Rotational Acceleration , 2014, IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing.

[16]  Lu Wang,et al.  Enhanced ISAR Imaging by Exploiting the Continuity of the Target Scene , 2014, IEEE Transactions on Geoscience and Remote Sensing.

[17]  Christian Jutten,et al.  Sparse decomposition of two dimensional signals , 2009, 2009 IEEE International Conference on Acoustics, Speech and Signal Processing.

[18]  Xiaowei Hu,et al.  Dynamic ISAR imaging of maneuvering targets based on sparse matrix recovery , 2017, Signal Process..

[19]  A. Robert Calderbank,et al.  Sensitivity to Basis Mismatch in Compressed Sensing , 2011, IEEE Trans. Signal Process..

[20]  Joel A. Tropp,et al.  Greed is good: algorithmic results for sparse approximation , 2004, IEEE Transactions on Information Theory.

[21]  Bhaskar D. Rao,et al.  An Empirical Bayesian Strategy for Solving the Simultaneous Sparse Approximation Problem , 2007, IEEE Transactions on Signal Processing.

[22]  Weike Feng,et al.  High-resolution ISAR imaging of maneuvering targets based on the sparse representation of multiple column-sparse vectors , 2016, Digit. Signal Process..

[23]  Jun Fang,et al.  Pattern-Coupled Sparse Bayesian Learning for Inverse Synthetic Aperture Radar Imaging , 2015, IEEE Signal Processing Letters.

[24]  Marco Martorella,et al.  Compressive sensing-based inverse synthetic radar imaging imaging from incomplete data , 2016 .

[25]  Pascal Larzabal,et al.  Compressed Sensing with Basis Mismatch: Performance Bounds and Sparse-Based Estimator , 2016, IEEE Transactions on Signal Processing.

[26]  Rama Chellappa,et al.  Compressed Synthetic Aperture Radar , 2010, IEEE Journal of Selected Topics in Signal Processing.

[27]  Dusan Gleich,et al.  Markov Random Field Models for Non-Quadratic Regularization of Complex SAR Images , 2012, IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing.