Local Ambiguity Shaping for Doppler-Resilient Sequences Under Spectral and PAPR Constraints

TL;DR

This paper introduces two optimization algorithms for designing Doppler-resilient sequences with low sidelobes, spectral and PAPR constraints, enhancing robustness for future high-mobility sensing and communication systems.

Contribution

It proposes novel optimization algorithms, AM and ALaMM, for designing sequences with low AF sidelobes under spectral and PAPR constraints, improving Doppler resilience.

Findings

AM algorithm achieves superior WPSL minimization.

ALaMM algorithm offers low-complexity WPSL suppression.

Sequences designed are suitable for 6G and high-mobility scenarios.

Abstract

This paper focuses on designing Doppler-resilient sequences with low local Ambiguity Function (AF) sidelobes, subject to certain spectral and Peak-to-Average Power Ratio (PAPR) constraints. To achieve this, we propose two distinctoptimization algorithms: (i) an Alternating Minimization (AM) algorithm for superior Weighted Peak Sidelobe Level (WPSL) minimization, and (ii) a low-complexity Augmented Lagrangian-assisted Majorization Minimization (ALaMM) algorithm with effective WPSL suppression. The proposed schemes hold great potential for sequence design in future 6G and integrated sensing and communication applications, supporting robust sensing under spectral coexistence constraints in high-mobility scenarios.