Designing Sequence Set With Minimal Peak Side-Lobe Level for Applications in High Resolution RADAR Imaging

Abstract

Constant-modulus sequence set with low peak sidelobe level is a necessity for enhancing the performance of modern active sensing systems like Multiple Input Multiple Output (MIMO) RADARs. In this paper, we consider the problem of designing a constant-modulus sequence set by minimizing the peak side-lobe level, which can be cast as a non-convex minimax problem, and propose a Majorization-Minimization technique based iterative monotonic algorithm named as the PSL minimizer. The iterative steps of our algorithm are computationally not very demanding and they can be efficiently implemented via Fast Fourier Transform (FFT) operations. We also establish the convergence of our proposed algorithm and discuss the computational and space complexities of the algorithm. Finally, through numerical simulations, we illustrate the performance of our method with the state-of-the-art methods. To highlight the potential of our approach, we evaluate the performance of the sequence set designed via our approach in the context of probing sequence set design for MIMO RADAR angle-range imaging application and show results exhibiting good performance of our method when compared with other commonly used sequence set design approaches.

Optimal Design of Group Orthogonal Phase Coded Waveforms for MIMO Radar

“…The superscript (l) represents the values of variables at the l-th iteration. Except for the sub-problem ( 16), the sub-problems (17)(18)(19) are actually the same as the Primal-Dual algorithm [18], which can be solved using similar methods as Primal-Dual. The rest of this section introduces the methods to solve the sub-problems.…”

“…The PSL minimization is more complex and harder than ISL minimization. So far, some researchers have proposed effective PSL optimization algorithms [16][17][18][19][20], where the method based on Primal-Dual has the best performance [18]. All the above-mentioned ISL and PSL optimization algorithms design a single set of orthogonal waveforms.…”

Design of MIMO Radar Waveforms based on lp-Norm Criteria

“…In this paper p -norm of auto-correlation sidelobes when p → +∞ is considered for the initialization. Similarly, several papers have considered type weight [18] p ≥ 2 SISO × [15], [16] p ≥ 2 SISO [12] × × SISO [13], [17], [20] × × SISO × [19] p ≥ 2 for p even SISO [21]- [26] × × MIMO [27] × MIMO × [28] × × MIMO × WeBEST (DP) p > 0 MIMO WeBEST (CP) p ∈ (0, 1] ∪ p ≥ 2 MIMO p -norm minimization to design waveform with small PSL values. In [15], [16], MM based approach are proposed for p -norm minimization when p ≥ 2.…”

“…Waveform design based on sidelobe reduction in MIMO radar systems: In order to design set of sequences with small auto-and cross-correlation sidelobes, several approaches including Multi-Cyclic Algorithm-New (CAN)/Multi-PeCAN [21], Iterative Direct Search [22], ISLNew [23], MM-Corr [24] and CD [25], [26], are proposed all considering the ISL as the design metric. On the other hand, few papers have focused on PSL minimization for MIMO radars [27], [28]. In [27] a CD based approach is proposed to directly minimize a weighted sum of PSL and ISL for MIMO radars under DP constraint.…”

“…In [27] a CD based approach is proposed to directly minimize a weighted sum of PSL and ISL for MIMO radars under DP constraint. In [28] a MM based approach is proposed to directly minimize the PSL and design set of sequences for MIMO radar systems. In the current study, we design set of sequences with very small PSL values by minimizing p -norm of auto-and cross-correlation sidelobes for a set of sequences which was not addressed previously in the literature.…”