Generalized Tan-Arlery-Rabaste-Lehmann-Ovarlez Lower Bound on Ambiguity Function of a Set of Sequences With Mismatched Filters

2026-09-01

AI Summary

本文通过引入一组失配滤波器和两个权重向量，提出了针对低模糊区域的序列集最大模糊函数旁瓣下界的新方法。

Abstract

In this paper, a lower bound on the maximum ambiguity function (AF) sidelobes of a set of unimodular sequences is formulated for the desired low-ambiguity-zone (LAZ). Our main idea is to introduce a set of mismatched filters associated to a set of unimodular sequences and two weight vectors for the delay and Doppler shifts, respectively. The length of mismatched filter maybe different to the length of unimodular sequence. The proposed lower bound on the maximum AF sidelobes for the desired LAZ can be treated as an extension of Tan-Arlery-Rabaste-Lehmann-Ovarlez lower bound, published in 2020, which dealt with the conventional correlation of sequences.

Problem

• Ambiguity Function
• Unimodular Sequences
• Low-Ambiguity-Zone

Innovation

• mismatched filters
• unimodular sequences
• ambiguity function
• low-ambiguity-zone (LAZ)
• weight vectors