- E. Raei, M. Alaee-Kerahroodi, P. Babu, and M. R. B. Shankar, “Design of MIMO radar waveformsbased on lp-norm criteria,” in arXiv: 2104.03303, 2021.
Download: MATLAB codes!
How to design sets of orthogonal sequences?
Multiple-input multiple-output (MIMO) radars transmit a set of sequences that exhibit small cross-correlation sidelobes, to enhance sensing performance by separating them at the matched filter outputs. The waveforms also require small auto-correlation sidelobes to avoid masking weak targets by the range sidelobes of strong targets and to mitigate deleterious effects of distributed clutter. In light of these requirements, in this study, we design a set of phase-only (constant modulus) sequences that exhibit near-optimal properties in terms of Peak Sidelobe Level (PSL) and Integrated Sidelobe Level (ISL). At the design stage, we adopt the weighted lp-norm of auto- and cross-correlation sidelobes as the objective function and minimize it for a general p-value, using block successive upper bound minimization (BSUM). Considering the limitation of radar amplifiers, we design unimodular sequences which make the design problem non-convex and NP-hard. To tackle the problem, in every iteration of the BSUM algorithm, we introduce different local approximation functions and optimize them concerning a block, containing a code entry or a code vector.