New Spectrally Constrained Sequence Sets With Optimal Periodic Cross-Correlation

Spectrally constrained sequences (SCSs) play an important role in modern communication and radar systems operating over non-contiguous spectrum. Despite numerous research attempts over the past years, very few works are known on the constructions of optimal SCSs with low cross-correlations. In this...

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Bibliographic Details
Published in:IEEE transactions on information theory 2023-01, Vol.69 (1), p.610-625
Main Authors: Ye, Zhifan, Zhou, Zhengchun, Liu, Zilong, Tang, Xiaohu, Fan, Pingzhi
Format: Article
Language:English
Subjects:
Autocorrelation
circular Florentine rectangle
Cross correlation
Fans
Interference
interleaving technique
Lower bounds
optimal sequences
Radar equipment
Resource management
Spectrally constrained sequence
Synchronization
Time-domain analysis
Zero correlation zone
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Summary:Spectrally constrained sequences (SCSs) play an important role in modern communication and radar systems operating over non-contiguous spectrum. Despite numerous research attempts over the past years, very few works are known on the constructions of optimal SCSs with low cross-correlations. In this paper, we address such a major problem by introducing a unifying framework to construct unimodular SCS families using circular Florentine rectangles (CFRs) and interleaving techniques. By leveraging the uniform power allocation in the frequency domain for all the admissible carriers (a necessary condition for beating the existing periodic correlation lower bound of SCSs), we present a tighter correlation lower bound and show that it is achievable by our proposed SCS families including multiple SCS sets with zero correlation zone properties.
ISSN:0018-9448
1557-9654
DOI:10.1109/TIT.2022.3205380