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Spectrally-Constrained Sequences: Bounds and Constructions

Liu, Zilong, Guan, Yong Liang, Parampalli, Udaya and Hu, Su (2018) Spectrally-Constrained Sequences: Bounds and Constructions IEEE Transactions on Information Theory, 64 (4). pp. 2571-2582.

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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.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Electronic Engineering
Authors :
Guan, Yong Liang
Parampalli, Udaya
Hu, Su
Date : 31 January 2018
DOI : 10.1109/TIT.2018.2800012
Copyright Disclaimer : © 2018 IEEE. Personal use is permitted, but republication/redistribution requires IEEE permission. See for more information.
Uncontrolled Keywords : Spectrally-constrained sequences (SCS); Cognitive radio; Cognitive radar; Complementary sequence set; Cyclic difference set; Maximal-length shift register sequences; Carrier aggregation
Depositing User : Clive Harris
Date Deposited : 12 Sep 2018 13:30
Last Modified : 12 Nov 2018 08:32

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