MIMO Waveforms Design for High Frequency Radar Using Optimal Receiver

This paper addresses the waveforms design problem for high frequency (HF) radar with multiple-input multiple-output (MIMO) structure. HF radar operates in spectrally compatible environment, for it shares band with many radio services. Consequently, whitening filter (WF) is deemed as the optimal receiver for it. Based on this, we design waveforms for radar's transmitter, attempting to obtain high signal to interference plus noise ratio (SINR) as well as good cross-correlations behavior between designed waveforms and corresponding WF bank. A non-convex quartic optimization problem is formulated, which can flexibly design waveforms to obtain different SINR and cross-correlation performances. To resolve it, an iterative algorithm is proposed based on the Majorization-Minimization framework. In each iteration, a quadratic problem is formulated to majorize the original problem, with its solution served as the next iteration point. Simulation results demonstrate that the objective value monotonically decreases during iteration and finally converges to a stable point. Moreover, the SINR performance and cross-correlation properties are shown to be well adjustable.