Title
A New Lower Bound on the Maximum Correlation of a Set With Mismatched Filters
Abstract
A new lower bound is proposed in this article. Like Levenshtein bound, it relates to the maximum correlation value (autocorrelation and cross-correlation) a set of sequences can achieve. The novelty introduced here is that each sequence is associated with a mismatched filter. The proposed bound is inspired from Levenshtein’s, holds for any set of unimodular sequences and can be applied in both aperiodic and periodic cases. It appears that the obtained expression does not deviate a lot from the (matched) Levenshtein, which indicates that the use of a mismatched filter will not guarantee much better sidelobe performance, as the number fo sequences is significant, contrary to the popular belief.
Year
DOI
Venue
2020
10.1109/TIT.2020.3002066
IEEE Transactions on Information Theory
Keywords
DocType
Volume
Correlation,Delays,Radar,Signal to noise ratio,Optimization,Filtering theory,Telecommunications
Journal
66
Issue
ISSN
Citations 
10
0018-9448
0
PageRank 
References 
Authors
0.34
0
5
Name
Order
Citations
PageRank
Uy Hour Tan100.34
Fabien Arlery200.34
Olivier Rabaste301.69
Frédéric Lehmann453.17
Jean Philippe Ovarlez519025.11