Some Optimal and Near Optimal Doppler Resilient Complementary Sequence Sets

TL;DR

This paper introduces new constructions of Doppler resilient complementary sequence sets (DRCSSs) that are optimal or near optimal, enhancing radar detection and mobile communication systems by reducing ambiguity function sidelobes.

Contribution

The paper presents novel methods for constructing DRCSSs using OC-FHSSs, ADSs, and specific sequences, achieving optimal or near optimal performance.

Findings

Proposed DRCSSs are optimal or near optimal.

New constructions improve ambiguity function sidelobe reduction.

Enhances radar and communication system performance.

Abstract

Sequences with excellent ambiguity functions are very useful in radar detection and modern mobile communications. Doppler resilient complementary sequence (DRCS) is a new type of sequence proposed recently, which can achieve lower ambiguity function sidelobes by summing the ambiguity functions of subsequences. In this paper, we introduce some new constructions of DRCS sets (DRCSSs) based on one-coincidence frequency-hopping sequence sets (OC-FHSSs), almost difference sets (ADSs), some specific sequences, etc. Critically, the proposed DRCSSs are optimal or near optimal.