Abstract
This paper presents generalized Arlery-Tan-Rabaste-Levenshtein lower bounds on the maximum aperiodic ambiguity function (AF) magnitude of unimodular sequences under certain delay-Doppler low ambiguity zones (LAZ). Our core idea is to explore the upper and lower bounds on the Frobenius norm of the weighted auto- and cross-AF matrices by introducing two weight vectors associated with the delay and Doppler shifts, respectively. As a second major contribution, we demonstrate that our derived lower bounds are asymptotically achievable with selected Chu sequence sets by analyzing their maximum auto- and cross- AF magnitudes within certain LAZ.
Original language | English |
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Journal | IEEE Transactions on Information Theory |
DOIs | |
Publication status | Accepted/In press - 2025 |
Externally published | Yes |
Bibliographical note
Publisher Copyright:© 1963-2012 IEEE.
ASJC Scopus Subject Areas
- Information Systems
- Computer Science Applications
- Library and Information Sciences
Keywords
- Ambiguity function
- Chu sequences
- delay-Doppler low ambiguity zone
- lower bounds
- unimodular sequences