Compressive-Sensing-Based Simultaneous Polarimetric HRRP Reconstruction With Random OFDM Pair Radar Signal

Orthogonal waveform design is of great significance for simultaneous polarimetric high-resolution range profile (HRRP) reconstruction. In this paper, a novel waveform called a random orthogonal frequency division multiplexing (R-OFDM) pair is proposed. The proposed signal exploits ideal orthogonality by randomly selecting different subsets of a full-band OFDM signal. The compressive sensing (CS) technique is applied for HRRP reconstruction due to the sparse property of the proposed waveform. To further utilize the information of different polarization channels, the joint CS reconstruction algorithm called a fully polarization-simultaneous orthogonal matching pursuit (FP-SOMP) is proposed instead of the single polarization-OMP algorithm by exploiting row-sparsity of different polarization channels. Both numerical simulations and measured unmanned aerial vehicle data experiments demonstrate that the R-OFDM pair and the CS-based FP-SOMP algorithm are qualified for simultaneous polarimetric HRRP reconstruction.