A multiplier-free generator for polyphase complete complementary codes

Complementary sets of sequences (CSS) and complete complementary codes (CCC) have found numerous applications in wireless communications and radar sensing owing to their perfect aperiodic correlation properties. In this paper, we first present a new algorithm for generating polyphase CSS and CCC bas...

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Main Authors: Majhi, Sudhan, Liu, Zilong, Guan, Yong Liang, Das, Shibsankar, Budisin, Srdjan
Other Authors: School of Electrical and Electronic Engineering
Format: Journal Article
Language:English
Published: 2019
Subjects:
Online Access:https://hdl.handle.net/10356/85317
http://hdl.handle.net/10220/49211
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author Majhi, Sudhan
Liu, Zilong
Guan, Yong Liang
Das, Shibsankar
Budisin, Srdjan
author2 School of Electrical and Electronic Engineering
author_facet School of Electrical and Electronic Engineering
Majhi, Sudhan
Liu, Zilong
Guan, Yong Liang
Das, Shibsankar
Budisin, Srdjan
author_sort Majhi, Sudhan
collection NTU
description Complementary sets of sequences (CSS) and complete complementary codes (CCC) have found numerous applications in wireless communications and radar sensing owing to their perfect aperiodic correlation properties. In this paper, we first present a new algorithm for generating polyphase CSS and CCC based on paraunitary (PU) matrices which uses equivalent forms of unimodular unitary matrices. Then, we propose a multiplier-free implementation of this generator based on multiplexers and read-only memories (ROMs). Our proposed algorithm generalizes the previous PU generator for complementary pairs by Budišin and Spasojević. Some previous algorithms for CSS and CCC can also be derived from our CCC generator as special cases. In addition, we give the enumeration formula and show that the number of generated sequences is significantly higher compared to previous works.
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spelling ntu-10356/853172020-03-07T13:57:27Z A multiplier-free generator for polyphase complete complementary codes Majhi, Sudhan Liu, Zilong Guan, Yong Liang Das, Shibsankar Budisin, Srdjan School of Electrical and Electronic Engineering Engineering::Electrical and electronic engineering Complementary Sets Of Sequences (CSS) Complete Complementary Codes (CCC) Complementary sets of sequences (CSS) and complete complementary codes (CCC) have found numerous applications in wireless communications and radar sensing owing to their perfect aperiodic correlation properties. In this paper, we first present a new algorithm for generating polyphase CSS and CCC based on paraunitary (PU) matrices which uses equivalent forms of unimodular unitary matrices. Then, we propose a multiplier-free implementation of this generator based on multiplexers and read-only memories (ROMs). Our proposed algorithm generalizes the previous PU generator for complementary pairs by Budišin and Spasojević. Some previous algorithms for CSS and CCC can also be derived from our CCC generator as special cases. In addition, we give the enumeration formula and show that the number of generated sequences is significantly higher compared to previous works. 2019-07-09T06:48:12Z 2019-12-06T16:01:25Z 2019-07-09T06:48:12Z 2019-12-06T16:01:25Z 2018 Journal Article Das, S., Budisin, S., Majhi, S., Liu, Z., & Guan, Y. L. (2018). A Multiplier-Free Generator for Polyphase Complete Complementary Codes. IEEE Transactions on Signal Processing, 66(5), 1184-1196. doi:10.1109/TSP.2017.2780050 1053-587X https://hdl.handle.net/10356/85317 http://hdl.handle.net/10220/49211 10.1109/TSP.2017.2780050 en IEEE Transactions on Signal Processing © 2017 IEEE. All rights reserved.
spellingShingle Engineering::Electrical and electronic engineering
Complementary Sets Of Sequences (CSS)
Complete Complementary Codes (CCC)
Majhi, Sudhan
Liu, Zilong
Guan, Yong Liang
Das, Shibsankar
Budisin, Srdjan
A multiplier-free generator for polyphase complete complementary codes
title A multiplier-free generator for polyphase complete complementary codes
title_full A multiplier-free generator for polyphase complete complementary codes
title_fullStr A multiplier-free generator for polyphase complete complementary codes
title_full_unstemmed A multiplier-free generator for polyphase complete complementary codes
title_short A multiplier-free generator for polyphase complete complementary codes
title_sort multiplier free generator for polyphase complete complementary codes
topic Engineering::Electrical and electronic engineering
Complementary Sets Of Sequences (CSS)
Complete Complementary Codes (CCC)
url https://hdl.handle.net/10356/85317
http://hdl.handle.net/10220/49211
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