Asymptotically Optimal Sequence Sets With Low/Zero Ambiguity Zone Properties

2024/01/01 by Tian, Liying, Song, Xiaoshi, Liu, Zilong +1 · 2 citations
#FOS: Computer and information sciences #Information Theory (cs.IT)

paper · doi:10.48550/arxiv.2401.00683

Abstract

Sequences with low/zero ambiguity zone (LAZ/ZAZ) properties are useful in modern communication and radar systems operating over mobile environments. This paper first presents a new family of ZAZ sequence sets motivated by the ``modulating'' zero correlation zone (ZCZ) sequences which were first proposed by Popovic and Mauritz. We then introduce a second family of ZAZ sequence sets with comb-like spectrum, whereby the local Doppler resilience is guaranteed by their inherent spectral nulls in the frequency domain. Finally, LAZ sequence sets are obtained by exploiting their connection with a novel class of mapping functions. These proposed unimodular ZAZ and LAZ sequence sets are cyclically distinct and asymptotically optimal with respect to the existing theoretical bounds on ambiguity functions.

Cited by

• On Discrete Ambiguity Functions of Random Communication Waveforms
• Some Optimal and Near Optimal Doppler Resilient Complementary Sequence Sets

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