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Bandaoti guangdian

Analysis on a Novel Decoding Algorithm of SCG-LDPC Codes for Optical Transmission Systems

YE Wenwe

Published Jan 1, 2014• 0 citations
OpenAlex

Abstract

According to the structural characteristics of SCG-LDPC codes,an effective Hierarchical Reliable Belief Propagation(HRBP)decoding algorithm is proposed.The novel decoding algorithm combines the layered iteration with the reliability judgment and can greatly reduce the number of the variable node involved in the subsequent iteration process and accelerate the convergence rate.The simulation result of SCG-LDPC(3969,3720)code for optical transmission systems shows that the novel HRBP decoding algorithm,compared with the traditional BP algorithm,can highly reduce the computing amount at the condition of ensuring the performance.The bit error rate(BER)performance of the HRBP algorithm is similar to that of the BP algorithm at the threshold value of 15,but in the subsequent iteration process,the number of the variable nodes for the HRBP algorithm,compared with the BP algorithm,can reduce about 69% at the high signal noise ratio(SNR).When the threshold value is further increased,the HRBP algorithm will gradually degenerate into the Layered-BP algorithm.

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According to the structural characteristics of SCG-LDPC codes,an effective Hierarchical Reliable Belief Propagation(HRBP)decoding algorithm is proposed.The novel decoding algorithm combines the layered iteration with the reliability judgment and can greatly reduce the number of the variable node involved in the subsequent iteration process and accelerate the convergence rate.The simulation result of SCG-LDPC(3969,3720)code for optical transmission systems shows that the novel HRBP decoding algorithm,compared with the traditional BP algorithm,can highly reduce the computing amount at the condition of ensuring the performance.The bit error rate(BER)performance of the HRBP algorithm is similar to that of the BP algorithm at the threshold value of 15,but in the subsequent iteration process,the number of the variable nodes for the HRBP algorithm,compared with the BP algorithm,can reduce about 69% at the high signal noise ratio(SNR).When the threshold value is further increased,the HRBP algorithm will gradually degenerate into the Layered-BP algorithm.
Reliability-Based-Layered Belief Propagation (RBL-BP) decoding algorithm for LDPC codes is proposed in this paper. Being an informed dynamic schedule (IDS), it measures convergence and selects iterations by the absolute value of logarithmic likelihood ratio information obtained from channel (ABS-LLR-CH). Each variable node can select its own iterations by estimating its own convergence, and finish iterative decoding. Simulation results show that the proposed RBL-BP algorithm has better performance than those of flooding schedule, layered belief propagation (LBP) and variable-to-check residual belief propagation (VC-RBP). For the convergence property of IDS, the proposed algorithm has faster speed than those of flooding schedule and LBP with a little increase in complexity while it has almost no speed decrease with much lower computational complexity than VC-RBP.
The Layered Belief Propagation L-BP algorithm is is a modified Belief Propagation BP algorithm, where the check nodes are divided in subgroups called layers and each iteration is broken into multiple sub-iterations. In this paper, we consider layered belief propagation decoding and propose an efficient variable node layering for decoding LDPC codes that performs well. We compare the performance of the first introduced LDPC decoding algorithm BP and Layered BP using check node layering with Layered BP using variable node layering in terms of bit error rate (BER). We show that the convergence for decoding LDPC codes is increasing by using a simple and efficient layering strategy.
According to no-convergence of falsely oscillating iteration in the low-density parity-check(LDPC) decoding at the range from medium to high SNRs(Signal to Noise Ratios),we propose a modified LDPC belief propagation(BP) decoding algorithm,i.e.soft value zero-forcing BP algorithm.By setting extrinsic information of the oscillating iteration bit nodes into zero,the impact on the iteratively decoding from false channel information is greatly reduced.And it also improves the performance of the decoding algorithm.Furthermore,a decision criterion of oscillating iteration nodes is presented to increase the accuracy of the decision.Simulation results show that the proposed algorithm has better decoding performance than that of the BP algorithm with the same iterations at medium and high SNRs.
To improve the decoding speed and reduce the complexity of low-density parity-check (LDPC) codes, this paper proposes a hybrid LDPC decoding algorithm that combined with the distribution characteristics of log-likelihood ratio (LLR) of all variable node information before each iteration. During the process of decoding, there is a judgment based on an interval value and a threshold value to select the Belief Propagation (BP) algorithm or the Minimal Sum (MS) algorithm to decode, so the proposed hybrid algorithm effectively combines the excellent performance of BP algorithm and the simple operation of MS algorithm. The simulation results show that the algorithm can greatly reduce the computational complexity and achieve similar decoding performance compared with the BP algorithm.
In order to reduce the bit error rate of low-density parity-check codes for layered decoding algorithm and improve the decoding convergence speed, an improved layered decoding algorithm is proposed. In layered decoding algorithm, updated bit nodes information can be used by check nodes in the iteration process while in dynamic decoding algorithm check nodes update in order according to the reliability. The proposed algorithm combines advantages of the layered and dynamic decoding algorithm. Moreover, compared with the definition of remaining information for check nodes in the dynamic decoding algorithm, a new method to evaluate the reliability is defined in the proposed algorithm. Based on 1/2 code rate china mobile multimedia broadcasting standard, simulation and comparison between the conventional layered decoding algorithm and the proposed layered decoding algorithm have been carried out. The simulation results show that under the same bit error rate, the signal to noise ratio of the improved algorithm reduces nearly 0.4dB as well as convergence speed improves obviously. The proposed layered decoding algorithm reduces the bit error rate and improves the reliability of data in communication system which uses LDPC codes as the channel coding.
A hybrid belief propagation (BP) decoding algorithm for low-density parity-check code is proposed to accelerate the convergence of decoding and reduce the number of decoding iterations. The hybrid scheme is presented by integrating the BP algorithm with the bit-flipping function which is used as adaptive weighted factor in the BP iteration decoding. The adaptive weighting factor is based on the average weighted reliability measure of the hard output of decoder. The proposed hybrid adaptive weighted iteration scheme can efficiently increase the convergence speed of the belief propagation decoding and therefore improve the error performance. Simulation results show that the proposed algorithm can significantly reduce the decoding complexity and achieve better error performances as compared with the sum-product algorithm.