Design of Constant Modulus Sequence Set with Good Doppler Tolerance via Minimizing WISL

This paper deals with the design of the constant modulus sequence set for MIMO radar in an effort to achieve the desired correlation properties and favorable Doppler tolerance. In particular, the phase perturbation terms are forced in LFM waveforms with different frequency modulation disturbance to provide the optimization degree of freedom to achieve low correlation sidelobe level. To this end, the Weighted Integrated Sidelobe Level (WISL) of auto-and cross-correlation functions is formulated as a figure of merit to minimize. Besides, to obtain good Doppler tolerance, the similarity constraint between the devised waveforms and these LFM waveforms is involved. To cope with the resultant NP-hard problem, the Coordinate Descent (CD) framework is introduced along with a quartic problem with a closed-form solution in each iteration. Numerical results are provided to assess the designed waveform set in terms of Doppler tolerance and compatibility of detecting weak targets and high speed targets.