Asymptotically Optimal Sequence Sets With Low/Zero Ambiguity Zone Properties

2024-01-01

arXiv.org

AI Summary

This paper addresses the demand for low-ambiguity zone (LAZ) and zero-ambiguity zone (ZAZ) sequences in integrated mobile communications and radar systems. We propose three novel classes of modulus-free asymptotically optimal sequence sets: (1) ZAZ sequences constructed via modulated zero-correlation zone (ZCZ) techniques; (2) LAZ sequences with comb-like spectra and frequency-domain nulls, ensuring Doppler robustness; and (3) LAZ sequences derived using a new mapping function. All designs satisfy cyclic cross-orthogonality, closed-form analytical construction, and scalability. Theoretical analysis demonstrates that the proposed sequence sets achieve asymptotic optimality with respect to the ambiguity function—matching established theoretical bounds. Specifically, the ZAZ sequences guarantee a strict zero-ambiguity zone, while the LAZ sequences substantially suppress range-Doppler sidelobes, thereby significantly enhancing Doppler tolerance and interference resilience.

Technology Category

• Planning, Routing, and Scheduling: Optimization of Spatio-temporal Systems
• Search and Optimization: Applications
• Application Domains: Mobility, Driving & Flight

Application Category

• Security and Privacy: Large-scale security measurements
• Systems and Infrastructure for Web, Mobile and WoT: Novel mobile and WoT systems, and system-of-systems
• User Modeling, Personalization and Recommendation: User privacy protection in personalized systems

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.

Problem

• Designs ZAZ sequence sets for mobile communication and radar systems.
• Introduces ZAZ sequence sets with comb-like spectrum for Doppler resilience.
• Develops LAZ sequence sets using novel mapping functions for optimal performance.

Innovation

• New ZAZ sequence sets from modulating ZCZ sequences
• ZAZ sets with comb-like spectrum for Doppler resilience
• LAZ sets via novel mapping functions, cyclically distinct