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A New Construction Framework for Polyphase Complete Complementary Codes With Various Lengths

Das, Shibsankar and Majhi, Sudhan and Budisin, Srdjan and Liu, Zilong (2019) 'A New Construction Framework for Polyphase Complete Complementary Codes With Various Lengths.' IEEE Transactions on Signal Processing, 67 (10). pp. 2639-2648. ISSN 1053-587X

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Abstract

Complete complementary codes (CCC) with equal sequence lengths have found numerous applications in wireless communications owing to their ideal correlation properties. In modern multi-user multi-rate communication systems, CCCs with various sequence lengths for different complementary codes are desirable. In this paper, we propose a new construction of polyphase CCC with various lengths by using unimodular paraunitary (PU) matrices. Our key idea is to decompose a large square PU matrix into direct sum of matrices with smaller sizes (which is equivalent to block diagonalization of matrices) in order to construct CCC with various lengths. We show that our proposed constructions not only generalize several previously known methods but also lead us to new CCCs with both equal and various lengths.

Item Type: Article
Divisions: Faculty of Science and Health
Faculty of Science and Health > Computer Science and Electronic Engineering, School of
SWORD Depositor: Elements
Depositing User: Elements
Date Deposited: 16 Jul 2021 14:00
Last Modified: 15 Jan 2022 01:31
URI: http://repository.essex.ac.uk/id/eprint/26526

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