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Iterative Basis Update for Ordered Statistics Decoding of Linear Block Codes

delete2024-09-01
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PRE
AI
X
Xihao Li
W
Wenhao Chen
L
Li Chen *
H
Huazi Zhang
DOI:10.1109/LCOMM.2024.3425388delete
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Abstract

Abstract

En 中文
Ordered statistics decoding (OSD) requires Gaussian elimination (GE) for obtaining the most reliable independent positions (MRIPs) of the received vector. However, GE has cubic time complexity. Its sequential nature also introduces high latency in practice. To address this, the letter proposes an iterative basis update (IBU) to reduce complexity and latency of GE. Specifically, the IBU utilizes a systematic generator matrix (SGM) whose identity submatrix corresponds to a symbol position set. This set will then be iteratively updated for obtaining the MRIPs. For cyclic codes, the IBU can be further simplified by selecting multiple symbol position sets for the SGM. Our analysis and simulations show that the proposed IBU can significantly facilitate OSD without compromising decoding performance.
Keywords:
Germanium
Symbols
Complexity theory
Reliability
Vectors
Iterative decoding
Indexes
Gaussian elimination
linear block codes
most reliable basis (MRB)
ordered statistics decoding (OSD)
URLLC

Journal

IEEE Communications Letters cover
IEEE Communications Letters
IF:
4.4
Papers:
1.3W
Citations:
2.2W

Organization

S
Sun Yat Sen University
Scholars:
9.9W
Papers: 7.2W
Citations: 95