Maximizing Information Extraction of Extended Radar Targets Through MIMO Beamforming

We jointly design an information-theoretic transmit and receive radar beamformers for spatially near multiple extended targets. We maximize the mutual information (MI) between the received signals and the targets signatures that allows the extraction of the unknown features, which may include shape, dimensions, and material. However, high interference caused by spatially near targets might obstruct the information extraction, and directing the beamformers toward the steering vector as done in conventional beamformers does not solve this problem, especially for extended targets. In this letter, an iterative algorithm is presented to solve this problem using alternative minimization, dividing it into two blocks. The first block is solving for the transmit beamformers successively using block coordinate descent, and the second one is solving for the receiver beamformers using the minimum variance distortionless response. We also show the effect of using our beamformers on the waveform design problem. Numerical results indicate that this algorithm can achieve substantially higher MI than the existing conventional methods. Thus, except for some degenerate cases, having fixed beamformers instead of optimized ones lead to significant performance degradation.

[1]  Zhi-Quan Luo,et al.  Coordinated Beamforming for MISO Interference Channel: Complexity Analysis and Efficient Algorithms , 2011, IEEE Transactions on Signal Processing.

[2]  Hongbin Li,et al.  Joint Optimization of Transmit and Receive Beamforming in Active Arrays , 2014, IEEE Signal Processing Letters.

[3]  Hongbin Li,et al.  Joint design of transmit and receive beamforming for interference mitigation , 2014, 2014 International Radar Conference.

[4]  A. Nehorai,et al.  Information Theoretic Adaptive Radar Waveform Design for Multiple Extended Targets , 2007, IEEE Journal of Selected Topics in Signal Processing.

[5]  Urs Niesen,et al.  Adaptive Alternating Minimization Algorithms , 2007, ISIT.

[6]  Rick S. Blum,et al.  MIMO radar waveform design based on mutual information and minimum mean-square error estimation , 2007, IEEE Transactions on Aerospace and Electronic Systems.

[7]  Alessio Balleri,et al.  Waveform Design and Diversity for Advanced Radar Systems , 2012 .

[8]  Thomas M. Cover,et al.  Elements of Information Theory (Wiley Series in Telecommunications and Signal Processing) , 2006 .

[9]  Wenjie Zhang,et al.  On the flexibility of block coordinate descent for large-scale optimization , 2018, Neurocomputing.

[10]  Mark R. Bell,et al.  Information Theory and Radar: Mutual Information and the Design and Analysis of Radar Waveforms and Systems , 1988 .

[11]  Sergiy A. Vorobyov,et al.  Principles of minimum variance robust adaptive beamforming design , 2013, Signal Process..

[12]  Mark R. Bell Information theory and radar waveform design , 1993, IEEE Trans. Inf. Theory.