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Journal of Nanjing University of Science and Technology

Code Optimization and Iterative Decoding of QC-LDPC Coded OFDM System

Shunliang Mei

Published Jan 1, 2009• 0 citations
OpenAlex

Abstract

In the multi-paths environment,since the performance of orthogonal frequency division multiplexing(OFDM) system may be severely degraded by the sub-carriers in deep fading,powerful error-correcting codes have to be applied to OFDM.This paper presents a novel quasi-cyclic low density parity check(QC-LDPC) coded OFDM system.In this system,the redundant bits of codeword are mapped to higher-order constellation,and a group shuffled message passing scheduling is used in the iterative decoding.According to the mapping scheme,the QC-LDPC code is optimized by density evolution based on group shuffled message passing with Gaussian approximation.Simulation results show that the proposed system can achieve better error rate performance and faster decoding convergence than conventional approaches on both additive white Gaussian noise(AWGN) and Rayleigh fading channels.

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In the multi-paths environment,since the performance of orthogonal frequency division multiplexing(OFDM) system may be severely degraded by the sub-carriers in deep fading,powerful error-correcting codes have to be applied to OFDM.This paper presents a novel quasi-cyclic low density parity check(QC-LDPC) coded OFDM system.In this system,the redundant bits of codeword are mapped to higher-order constellation,and a group shuffled message passing scheduling is used in the iterative decoding.According to the mapping scheme,the QC-LDPC code is optimized by density evolution based on group shuffled message passing with Gaussian approximation.Simulation results show that the proposed system can achieve better error rate performance and faster decoding convergence than conventional approaches on both additive white Gaussian noise(AWGN) and Rayleigh fading channels.
In this paper, a transmission scheme based on Quasi-Cyclic Low-Density Parity-Check (QC-LDPC) codes with an invertible quasi-cyclic Matrix Q is proposed over Additive White Gaussian Noise (AWGN) channel in order to obtain faster convergence of hard-decision decoding. Combined with the soft information from channel, another improved Reliability-based Q (RQ) decoding algorithm is proposed. The new design can also be applied to QC-LDPC codes in IEEE 802.16e Standards. The simulation results show that the proposed scheme with Q or RQ decoding algorithm has better error correction performance and lower average number of iterations than Bit-Flipping (BF) or weighted Bit-Flipping (WBF) decoding algorith
Quasi-cyclic (QC) low-density parity-check (LDPC) codes which are known as QC-LDPC codes, have many applications due to their simple encoding implementation by means of cyclic shift registers. In this paper, we construct QC-LDPC codes from group rings. A group ring is a free module (at the same time a ring) constructed in a natural way from any given ring and any given group. We present a structure based on the elements of a group ring for constructing QC-LDPC codes. Some of the previously addressed methods for constructing QC-LDPC codes based on finite fields are special cases of the proposed construction method. The constructed QC-LDPC codes perform very well over the additive white Gaussian noise (AWGN) channel with iterative decoding in terms of bit-error probability and block-error probability. Simulation results demonstrate that the proposed codes have competitive performance in comparison with the similar existing LDPC codes. Finally, we propose a new encoding method for the proposed group ring based QC-LDPC codes that can be implemented faster than the current encoding methods. The encoding complexity of the proposed method is analyzed mathematically, and indicates a significate reduction in the required number of operations, even when compared to the available efficient encoding methods that have linear time and space complexities.
This paper presents an improved construction of circulant sub-matrices based quasi-cyclic low density parity check codes (QC-LDPC) under fading channels. The proposed construction yields a performance gain of about 2 to 5 dB at a 10/sup -4/ bit error rate (BER). This paper also proposes a decoding method to reduce the implementation complexity in the belief propagation algorithm. Furthermore, this paper studies the performance of circulant sub-matrices based QC-LDPC codes at higher rates under AWGN and fading channels.
Algebraic constructions of quasi-cyclic (QC) low-density parity-check (LDPC) codes with unequal error protection (UEP) capabilities have recently been proposed, which can provide different error-correcting capabilities for different parts of the coded bits. However, conventional decoding algorithms are not designed for LDPC codes with UEP. In this paper, we propose three decoding schemes for UEP QC-LDPC codes extended from existing scheduling strategies, tailored to the special structures of the parity-check matrices. Simulation results show that the proposed schemes can provide improved error rate performance especially for coded bits on low protection levels. The decoding convergence can also be accelerated, thereby reducing the computational complexity.
Forward error correcting codes are successfully implemented in high speed communication for error-free transmission with high data rate. One such code is Low Density Parity Check (LDPC) code. In this paper, Quasi Cyclic (QC) construction of LDPC code is used and we investigate the performance of various decoding algorithms of QC-LDPC code. Their performances in terms of error correction and complexity are compared. The speed of convergence of various decoding algorithms of LDPC code is analyzed by using the Density Evolution theory. With this thresholding in iterations, the BER performances of different algorithms are simulated. Our results show that the same BER performance can be achieved with reduced number of iterations or the speed of the system can be improved without much sacrifice in BER performance.
A construction method of Quasi-Cyclic Low-Density Parity-Check(QC-LDPC) codes based on cyclic subgroups of finite field is proposed.The method owns the advantages such as easier construction,more flexible adjustment on code-length and code-rate and lower encoding/ decoding complexity.Moreover,a regular QC-LDPC(5334,4955)code suitable for optical communication systems is constructed by this construction method.The simulation results show that the code can gain good performance under the condition of additive white Gaussian noise(AWGN)channel with iterative decoding sum-product algorithm(SPA).The error-correction performance of the QC-LDPC(5334,4955)code is better than that of the classic RS(255,239) code which is widely used in optical communication system.Therefore,the constructed QC-LDPC(5334,4955)code can be better suitable for the long-haul and high-speed optical communication systems.