Spatially Coupled Generalized Low-Density Parity-Check Codes Over Class-A Impulsive Noise Channels

Abstract

In this paper, a class of spatially coupled generalized low-density parity-check (SC-GLDPC) codes with minimum coupling width is introduced to mitigate the Class-A impulsive noise. Codes with minimum coupling width are beneficial to simple code structure, short window decoding delay, and small rate-loss. The SC-GLDPC code is constructed by coupling the multiple identical generalized low-density parity-check (GLDPC) codes. Decoding thresholds over impulsive channels are derived by a recursive extrinsic information transfer function approach and are further estimated by the fast prediction approach. An edge spreading optimization method is proposed to design SC-GLDPC codes with minimum coupling width. The simulation results show that the optimized SC-GLDPC codes with minimum coupling width can show capacity-approaching property over impulsive channels. Benefitting from spatial coupling and generalized check nodes the SC-GLDPC codes show better bit error rate performance over impulsive channels, compared with GLDPC codes and spatially coupled low-density parity-check (SC-LDPC) codes.INDEX TERMS Impulsive noise, spatial coupling, generalized low-density parity-check codes, minimum coupling width, iterative decoding.

Generalized sparse codes for non-Gaussian channels: Code design, algorithms, and applications

“…Nevertheless, as the wide deployment of channel coding technologies, it is necessary to generalize the channel coding design for the AWGN channel model to adapt to more application scenarios. Taking communications over extremely severe electromagnetic environments as an example, apart from the additive Gaussian noise, there are still many other interference sources and channel fading factors that need to be considered [29] , [30] , [31] . Moreover, for data storage systems with intersymbol interference (ISI), it is also challenging to recover data symbols over channels with memory [32] .…”

“…Impulsive noise can be found in many practical scenarios, such as the electric equipment noise of power line communication, ocean noise of underwater acoustic communication, thunderstorm noise of very/extremely low frequency communication, etc . In this part, a class of GS codes to combat Class-A impulsive noise is given, which is able to efficiently mitigate the burst error and bit erasure error [29] .…”

“…To mitigate the burst error and bit erasure error caused by impulse, a class of spatially coupled GS (SC-GS) codes with minimum coupling width is proposed [29] . The SC-GS codes can be constructed from the block GS codes as follows.…”

“…

Fig. 15 BER performance of the proposed SC-GS coding schemes over the impulsive noise channel [29] . (a) SC-GS code for and .

…”

An optimized initialization for LDPC decoding over GF(q) in impulsive noise environments

“…However, navigation satellite communication often suffers from irregular noises due to the occurrence of high amplitude "spikes". For navigation satellite communication, such spikes can be generated in atmosphere where lightning discharges in the vicinity of the receiver, or underwater environment where the ambient acoustical noises includes impulses due to noisy aquatic animals such as snapping shrimp [10][11][12][13]. At this time, the original assumption that noises are the Gaussian noises is inadequate.…”