Asymptotically Optimal Aperiodic Doppler Resilient Complementary Sequence Sets Via Generalized Quasi-Florentine Rectangles

TL;DR

This paper introduces a new class of aperiodic Doppler-resilient complementary sequence sets using generalized quasi-Florentine rectangles and Hadamard matrices, achieving asymptotic optimality for high-mobility communication systems.

Contribution

It generalizes quasi-Florentine rectangles and constructs asymptotically optimal aperiodic DRCS sets, advancing sequence design for Doppler-resilient applications.

Findings

Proposed a systematic construction method for generalized quasi-Florentine rectangles.

Developed several sets of aperiodic DRCS based on these rectangles and Hadamard matrices.

Proved the asymptotic optimality of the constructed DRCS sets.

Abstract

Doppler-resilient complementary sequence (DRCS) sets play a vital role in modern communication and sensing systems, particularly in high-mobility environments. This work makes two primary contributions. First, we refine the definition of quasi-Florentine rectangles to a more general form,termed generalized quasi-Florentine rectangles, and propose a systematic method for their construction. Second, we propose several sets of aperiodic DRCS based on generalized quasi Florentine rectangles and Butson-type Hadamard matrices. The proposed aperiodic DRCS sets are shown to be asymptotically optimal with respect to the lower bound of aperiodic DRCS sets.