Fast algorithm for designing unimodular sequence and related mismatched filter with flexible correlation properties

Unimodular (i.e. constant modulus) sequences with good correlation properties are useful in many areas like communication and radar/sonar. However, several algorithms for designing unimodular sequences with the minimisation of correlation sidelobes, which usually cost a lot of calculation time and h...

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Main Authors: Yinghao Sun, Quanhua Liu, Jinjian Cai, Teng Long
Format: Article
Language:English
Published: Wiley 2019-07-01
Series:The Journal of Engineering
Subjects:
Online Access:https://digital-library.theiet.org/content/journals/10.1049/joe.2019.0309
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author Yinghao Sun
Quanhua Liu
Jinjian Cai
Teng Long
author_facet Yinghao Sun
Quanhua Liu
Jinjian Cai
Teng Long
author_sort Yinghao Sun
collection DOAJ
description Unimodular (i.e. constant modulus) sequences with good correlation properties are useful in many areas like communication and radar/sonar. However, several algorithms for designing unimodular sequences with the minimisation of correlation sidelobes, which usually cost a lot of calculation time and hardware resources, are not suitable for real-time applications. Here, a fast algorithm, the inversion of the shaped output with a mismatched filter (ISO-MMF), is proposed to suppress correlation sidelobes to the designed level over specified regions. The closed-form solution is presented to give a fast implementation without thousands of iterations. Several experiments are also conducted to illustrate the effectiveness and efficiency of the proposed method. The theoretical evaluation and experiments show that the proposed ISO-MMF significantly improves the effectiveness of minimising correlation sidelobes and yields better results than existing methods.
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spelling doaj.art-7f62082b8ec9467a94e093984006e5dc2022-12-21T21:31:24ZengWileyThe Journal of Engineering2051-33052019-07-0110.1049/joe.2019.0309JOE.2019.0309Fast algorithm for designing unimodular sequence and related mismatched filter with flexible correlation propertiesYinghao Sun0Quanhua Liu1Jinjian Cai2Teng Long3Beijing Institute of TechnologyBeijing Institute of TechnologyBeijing Institute of TechnologyBeijing Institute of TechnologyUnimodular (i.e. constant modulus) sequences with good correlation properties are useful in many areas like communication and radar/sonar. However, several algorithms for designing unimodular sequences with the minimisation of correlation sidelobes, which usually cost a lot of calculation time and hardware resources, are not suitable for real-time applications. Here, a fast algorithm, the inversion of the shaped output with a mismatched filter (ISO-MMF), is proposed to suppress correlation sidelobes to the designed level over specified regions. The closed-form solution is presented to give a fast implementation without thousands of iterations. Several experiments are also conducted to illustrate the effectiveness and efficiency of the proposed method. The theoretical evaluation and experiments show that the proposed ISO-MMF significantly improves the effectiveness of minimising correlation sidelobes and yields better results than existing methods.https://digital-library.theiet.org/content/journals/10.1049/joe.2019.0309sequencescorrelation methodsfiltering theoryiterative methodsminimisationcommunicationhardware resourcescorrelation propertiesradar-sonarcorrelation sidelobe minimisationunimodular sequence design algorithmISO-MMFinversion of the shaped output with a mismatched filter
spellingShingle Yinghao Sun
Quanhua Liu
Jinjian Cai
Teng Long
Fast algorithm for designing unimodular sequence and related mismatched filter with flexible correlation properties
The Journal of Engineering
sequences
correlation methods
filtering theory
iterative methods
minimisation
communication
hardware resources
correlation properties
radar-sonar
correlation sidelobe minimisation
unimodular sequence design algorithm
ISO-MMF
inversion of the shaped output with a mismatched filter
title Fast algorithm for designing unimodular sequence and related mismatched filter with flexible correlation properties
title_full Fast algorithm for designing unimodular sequence and related mismatched filter with flexible correlation properties
title_fullStr Fast algorithm for designing unimodular sequence and related mismatched filter with flexible correlation properties
title_full_unstemmed Fast algorithm for designing unimodular sequence and related mismatched filter with flexible correlation properties
title_short Fast algorithm for designing unimodular sequence and related mismatched filter with flexible correlation properties
title_sort fast algorithm for designing unimodular sequence and related mismatched filter with flexible correlation properties
topic sequences
correlation methods
filtering theory
iterative methods
minimisation
communication
hardware resources
correlation properties
radar-sonar
correlation sidelobe minimisation
unimodular sequence design algorithm
ISO-MMF
inversion of the shaped output with a mismatched filter
url https://digital-library.theiet.org/content/journals/10.1049/joe.2019.0309
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AT jinjiancai fastalgorithmfordesigningunimodularsequenceandrelatedmismatchedfilterwithflexiblecorrelationproperties
AT tenglong fastalgorithmfordesigningunimodularsequenceandrelatedmismatchedfilterwithflexiblecorrelationproperties