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Constant modulus sequence set with low peak side-lobe level is a necessityfor enhancing the performance of modern active sensing systems like MultipleInput Multiple Output (MIMO) RADARs. In this paper, we consider the problem ofdesigning a constant modulus sequence set by minimizing the peak side-lobelevel, which can be cast as a non-convex minimax problem, and propose aMajorization-Minimization technique based iterative monotonic algorithm. Theiterative steps of our algorithm are computationally not very demanding andthey can be efficiently implemented via Fast Fourier Transform (FFT)operations. We also establish the convergence of our proposed algorithm anddiscuss the computational and space complexities of the algorithm. Finally,through numerical simulations, we illustrate the performance of our method withthe state-of-the-art methods. To highlight the potential of our approach, weevaluate the performance of the sequence set designed via our approach in thecontext of probing sequence set design for MIMO RADAR angle-range imagingapplication and show results exhibiting good performance of our method whencompared with other commonly used sequence set design approaches.

Designing sequence set with minimal peak side-lobe level for applications in high resolution RADAR imaging