Constructions of Spectrally Null Constrained Complete Complementary Codes via the Graph of Extended Boolean Functions

Complete complementary codes (CCCs) have important applications in communication, radar, and information security. In modern communication and radar systems, certain spectrum is reserved or prohibited from transmission, which leads to the so-called spectrally null constrained (SNC) problem. Compared...

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Bibliographic Details
Published in:IEEE transactions on information theory Vol. 69; no. 9; pp. 6028 - 6039
Main Authors: Shen, Bingsheng, Yang, Yang, Zhou, Zhengchun, Mesnager, Sihem
Format: Journal Article
Language:English
Published: New York IEEE 01.09.2023
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Boolean functions
Codes
Complete complementary code
Correlation
extended Boolean function
graph
Mathematical analysis
Peak to average power ratio
Polynomials
Radar applications
Radar equipment
spectrally null constrained
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ISSN:0018-9448, 1557-9654
Online Access:Get full text
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Summary:Complete complementary codes (CCCs) have important applications in communication, radar, and information security. In modern communication and radar systems, certain spectrum is reserved or prohibited from transmission, which leads to the so-called spectrally null constrained (SNC) problem. Compared with vast works on conventional CCCs, relatively little is known about SNC-CCCs. One objective of this paper is to derive several constructions of CCCs with more flexible settings from the graph of extended Boolean functions. This generalizes earlier achievements on CCCs from recent literature. Another objective of this paper is to employ the graphs of extended Boolean functions and polynomial representation of sequences to construct SNC-CCCs.
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ISSN:0018-9448
1557-9654
DOI:10.1109/TIT.2023.3280210