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Spectrally-Constrained Sequences: Bounds and Constructions

Liu, Zilong and Guan, Yong Liang and Parampalli, Udaya and Hu, Su (2018) 'Spectrally-Constrained Sequences: Bounds and Constructions.' IEEE Transactions on Information Theory, 64 (4). 2571 - 2582. ISSN 0018-9448

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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.

Item Type: Article
Divisions: Faculty of Science and Health > Computer Science and Electronic Engineering, School of
Depositing User: Elements
Date Deposited: 28 Jan 2020 14:33
Last Modified: 28 Jan 2020 14:33
URI: http://repository.essex.ac.uk/id/eprint/26513

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