Space-time transmit code and receive filter design for colocated MIMO radar

This paper considers the design problem of Multiple-Input Multiple-Output (MIMO) radar space-time transmit code (STTC) and space-time receive filter (STRF) for a moving point-like target in the presence of signal-dependent interference. An iterative procedure, whose convergence is analytically proved, is devised to maximize the Signal to Interference plus Noise Ratio (SINR) accounting for both a similarity constraint and constant modulus requirements on the probing waveform. Each iteration of the algorithm, involves the solution of hidden convex problems. Specifically, both a convex problem (whose solution is provided in closed form) and a set of fractional programming problem, that can be globally solved in polynomial time via the Dinkelback's procedure, are solved. The computational complexity is linear in the number of iterations and polynomial with the sizes of the STTC and the STRF. Finally, numerical results are provided to assess the quality of the devised procedure.