Analysis of joint iterative decoding and phase estimation for the noncoherent AWGN channel, using density evolution

2003 ◽  
Author(s):  
R. Nuriyev ◽  
A. Anastasopoulos
Keyword(s):  
Iterative Decoding ◽  
Phase Estimation ◽  
Density Evolution ◽  
Awgn Channel ◽  
Joint Iterative Decoding

scholarly journals A Deterministic Construction for Jointly Designed Quasicyclic LDPC Coded-Relay Cooperation

2019 ◽  
Vol 2019 ◽  
pp. 1-12 ◽  
Author(s):  
Muhammad Asif ◽  
Wuyang Zhou ◽  
Qingping Yu ◽  
Xingwang Li ◽  
Nauman Ali Khan
Keyword(s):  
Fading Channels ◽  
Iterative Decoding ◽  
Rayleigh Fading ◽  
Additive White Gaussian Noise ◽  
Ldpc Codes ◽  
Destination Node ◽  
Relay Nodes ◽  
Binary Matrix ◽  
Relay Cooperation ◽  
Joint Iterative Decoding

This correspondence presents a jointly designed quasicyclic (QC) low-density parity-check (LDPC) coded-relay cooperation with joint-iterative decoding in the destination node. Firstly, a design-theoretic construction of QC-LDPC codes based on a combinatoric design approach known as optical orthogonal codes (OOC) is presented. Proposed OOC-based construction gives three classes of binary QC-LDPC codes with no length-4 cycles by utilizing some known ingredients including binary matrix dispersion of elements of finite field, incidence matrices, and circulant decomposition. Secondly, the proposed OOC-based construction gives an effective method to jointly design length-4 cycles free QC-LDPC codes for coded-relay cooperation, where sum-product algorithm- (SPA-) based joint-iterative decoding is used to decode the corrupted sequences coming from the source or relay nodes in different time frames over constituent Rayleigh fading channels. Based on the theoretical analysis and simulation results, proposed QC-LDPC coded-relay cooperations outperform their competitors under same conditions over the Rayleigh fading channel with additive white Gaussian noise.

scholarly journals Design of Nonbinary LDPC Cycle Codes with Large Girth from Circulants and Finite Fields

2021 ◽  
Vol 2021 ◽  
pp. 1-11
Author(s):  
Hengzhou Xu ◽  
Huaan Li ◽  
Jixun Gao ◽  
Guixiang Zhang ◽  
Hai Zhu ◽  
...  
Keyword(s):  
Finite Fields ◽  
Gaussian Noise ◽  
Iterative Decoding ◽  
Additive White Gaussian Noise ◽  
Ldpc Codes ◽  
Parity Check ◽  
Undirected Graphs ◽  
Awgn Channel ◽  
Exponent Matrix ◽  
Large Girth

In this paper, we study a class of nonbinary LDPC (NBLDPC) codes whose parity-check matrices have column weight 2, called NBLDPC cycle codes. We propose a design framework of 2 , ρ -regular binary quasi-cyclic (QC) LDPC codes and then construct NBLDPC cycle codes of large girth based on circulants and finite fields by randomly choosing the nonzero field elements in their parity-check matrices. For enlarging the girth values, our approach is twofold. First, we give an exhaustive search of circulants with column/row weight ρ and design a masking matrix with good cycle distribution based on the edge-node relation in undirected graphs. Second, according to the designed masking matrix, we construct the exponent matrix based on finite fields. The iterative decoding performances of the constructed codes on the additive white Gaussian noise (AWGN) channel are finally provided.

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