Five Constructions of Asymptotically Optimal Aperiodic Doppler Resilient Complementary Sequence Sets with New Parameters

TL;DR

This paper introduces five new classes of asymptotically optimal aperiodic Doppler resilient complementary sequence sets with improved parameters for radar and communication systems.

Contribution

It presents five novel constructions of DRCSSs based on finite field trace functions and orthogonal matrices, outperforming existing sequences.

Findings

Constructed five classes of DRCSSs with new parameters.

Achieved upper bounds on sequence PAPR for three families.

Sequences exhibit superior ambiguity function characteristics.

Abstract

Sequences exhibiting favorable ambiguity function characteristics play a critical role in radar detection systems and modern mobile communication applications. As a newly developed sequence family, Doppler resilient complementary sequence sets (DRCSSs) can effectively suppress ambiguity function sidelobes by coherently combining the ambiguity functions of their constituent subsequences. The objective of this paper is to present five classes of asymptotically optimal aperiodic DRCSSs with novel parameters based on trace functions over finite fields and column orthogonal complex matrices. Compared with existing asymptotically optimal aperiodic DRCSSs in the literature, the proposed aperiodic DRCSSs deliver superior or novel parameters. Notably, for three families of the constructed aperiodic DRCSSs, the column sequence peak-to-average power ratio (PAPR) is upper bounded by p by selecting suitable column orthogonal complex matrices.