Open AccessConstruction of nested pattern matrix with large girth for PDMA systems
Author(s) -
Liu Qingqing,
Xu Jin
Publication year - 2021
Publication title -
electronics letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.375
H-Index - 146
eISSN - 1350-911X
pISSN - 0013-5194
DOI - 10.1049/ell2.12252
Subject(s) - girth (graph theory) , division (mathematics) , matrix (chemical analysis) , mathematics , construct (python library) , kronecker product , algorithm , computer science , discrete mathematics , kronecker delta , arithmetic , physics , materials science , quantum mechanics , composite material , programming language
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 β 2 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.