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Title: Spectrally-constrained sequences : bounds and constructions
Authors: Liu, Zilong
Guan, Yong Liang
Parampalli, Udaya
Hu, Su
Keywords: Engineering::Electrical and electronic engineering
Cognitive Radio
Spectrally-constrained Sequences (SCS)
Issue Date: 2018
Source: Liu, Z., Guan, Y. L., Parampalli, U., & Hu, S. (2018). Spectrally-Constrained Sequences: Bounds and Constructions. IEEE Transactions on Information Theory, 64(4), 2571-2582. doi:10.1109/TIT.2018.2800012
Series/Report no.: IEEE Transactions on Information Theory
Abstract: We investigate spectrally-constrained sequences (SCSs), which are applicable to the communication and radar systems operating over non-contiguous carriers or frequency slots. Typical examples of such systems are overlay cognitive radio or cognitive radar networks. First, we derive the periodic- and aperiodic-correlation lower bounds for single-channel SCSs and multi-channel SCSs by convex optimization in the frequency domain. Each of these bounds reduces to a Welch bound when the number of forbidden carriers is set to zero. We then propose systematic constructions of optimal unimodular single-channel SCSs with the aid of cyclic difference sets and the theory of maximal-length shift register sequences.
ISSN: 0018-9448
DOI: 10.1109/TIT.2018.2800012
Rights: © 2018 IEEE. All right reserved.
Fulltext Permission: none
Fulltext Availability: No Fulltext
Appears in Collections:EEE Journal Articles

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