Synthesis of waveforms from zero-lag cross-correlation matrix with specified constraints and power levels

In MIMO radar applications, zero-lag cross-correlation matrix of the transmitted waveforms is designed for a desired transmit beampattern and spatial ambiguity function. The transmitted waveforms are to be synthesized from this matrix subject to certain constraints. Recently, Jian Li et al. [1] formulated the synthesis problem as a multi-step optimization and outlined an iterative algorithm, named as cyclic algorithm, for implementing the optimization. Development of a MATLAB code for implementing the multi-step optimization is non-trivial and it calls for a significant effort. In this paper, we present the steps of the iterative algorithm in some detail and illustrate the results obtained from our code with some examples. Though the synthesis problem is motivated from MIMO radar applications, the algorithm can be considered as generic.