Construction of nested pattern matrix with large girth for PDMA systems

Construction of nested pattern matrix with large girth for PDMA systems

Abstract In this letter, a new method is proposed to construct the pattern matrix (PM) with both nested structure and large girth for pattern division multiple access (PDMA) system. The proposed method contains two steps. Firstly, by performing the Kronecker product on a cycle‐free base‐PM with over...

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Main Authors: Qingqing Liu, Jin Xu
Format: Article
Language:English
Published: Wiley 2021-09-01
Series:Electronics Letters
Online Access:https://doi.org/10.1049/ell2.12252
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spelling doaj-4057493bc31c406d8e91bcb8fc05f98e2021-09-21T19:38:26ZengWileyElectronics Letters0013-51941350-911X2021-09-01572076176310.1049/ell2.12252Construction of nested pattern matrix with large girth for PDMA systemsQingqing Liu0Jin Xu1School of Information and Electronics Beijing Institute of Technology Beijing People's Republic of ChinaCollege of Computer and Communication Engineering Zhengzhou University of Light Industry Zhengzhou People's Republic of ChinaAbstract In this letter, a new method is proposed to construct the pattern matrix (PM) with both nested structure and large girth for pattern division multiple access (PDMA) system. The proposed method contains two steps. Firstly, by performing the Kronecker product on a cycle‐free base‐PM with overload factor β>1, an expanded‐PM with overload factor β2 is obtained. Then, puncturing the specific columns with high‐weight of that expanded‐PM, the derived nested PM achieves large girth and low row‐weight, which lead to low error propagation and low computational complexity under message passing‐based detector. Simulation results verified the above idea.https://doi.org/10.1049/ell2.12252
collection DOAJ
language English
format Article
sources DOAJ
author Qingqing Liu
Jin Xu
spellingShingle Qingqing Liu
Jin Xu
Construction of nested pattern matrix with large girth for PDMA systems
Electronics Letters
author_facet Qingqing Liu
Jin Xu
author_sort Qingqing Liu
title Construction of nested pattern matrix with large girth for PDMA systems
title_short Construction of nested pattern matrix with large girth for PDMA systems
title_full Construction of nested pattern matrix with large girth for PDMA systems
title_fullStr Construction of nested pattern matrix with large girth for PDMA systems
title_full_unstemmed Construction of nested pattern matrix with large girth for PDMA systems
title_sort construction of nested pattern matrix with large girth for pdma systems
publisher Wiley
series Electronics Letters
issn 0013-5194
1350-911X
publishDate 2021-09-01
description Abstract In this letter, a new method is proposed to construct the pattern matrix (PM) with both nested structure and large girth for pattern division multiple access (PDMA) system. The proposed method contains two steps. Firstly, by performing the Kronecker product on a cycle‐free base‐PM with overload factor β>1, an expanded‐PM with overload factor β2 is obtained. Then, puncturing the specific columns with high‐weight of that expanded‐PM, the derived nested PM achieves large girth and low row‐weight, which lead to low error propagation and low computational complexity under message passing‐based detector. Simulation results verified the above idea.
url https://doi.org/10.1049/ell2.12252
work_keys_str_mv AT qingqingliu constructionofnestedpatternmatrixwithlargegirthforpdmasystems
AT jinxu constructionofnestedpatternmatrixwithlargegirthforpdmasystems
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