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IEEE International Symposium on Personal, Indoor and Mobile Radio Communications (PIMRC)

Low-complexity iterative detection and decoding in finite geometry LDPC-coded MIMO systems

Nuwan Balasuriya, Pradeepa Yahampath, Telex M. N. Ngatched, Attahiru Sule Alfa

Published Sep 1, 2009• 2 citations
Publisher

Abstract

This paper presents a low-complexity iterative joint detection and decoding algorithm for finite geometry-low density parity check (FG-LDPC) coded multiple-input multiple-output (MIMO) systems, in which the MIMO channel detector and the FG-LDPC decoder iteratively exchange soft information. The key to the simplicity of the algorithm is the use of a bit flipping-based decoder for FG-LDPC code. An important issue addressed here is the generation of soft information from the binary outputs of the bit-flipping decoder to be fed back to the MIMO detector. Simulation results show that the proposed joint detection and decoding algorithm achieves a substantial reduction in decoding error probability compared to a cascaded detector and a decoder. We also compare the performance with belief-propagation (BP) based detector-decoders which are significantly more complex. The new algorithm provides a practical approach to joint detection and decoding of popular FG-LDPC codes in a MIMO system, a task which is computationally unmanageable with a BP algorithm.

DOI
10.1109/pimrc.2009.5449868

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This paper presents a low-complexity iterative joint detection and decoding algorithm for finite geometry-low density parity check (FG-LDPC) coded multiple-input multiple-output (MIMO) systems, in which the MIMO channel detector and the FG-LDPC decoder iteratively exchange soft information. The key to the simplicity of the algorithm is the use of a bit flipping-based decoder for FG-LDPC code. An important issue addressed here is the generation of soft information from the binary outputs of the bit-flipping decoder to be fed back to the MIMO detector. Simulation results show that the proposed joint detection and decoding algorithm achieves a substantial reduction in decoding error probability compared to a cascaded detector and a decoder. We also compare the performance with belief-propagation (BP) based detector-decoders which are significantly more complex. The new algorithm provides a practical approach to joint detection and decoding of popular FG-LDPC codes in a MIMO system, a task which is computationally unmanageable with a BP algorithm.
In this letter, a two-stage hybrid iterative decoding algorithm which combines two iterative decoding algorithms is proposed to reduce the computational complexity of finite geometry low-density parity-check (FG-LDPC) codes. We introduce a fast weighted bit-flipping (WBF) decoding algorithm for the first stage decoding. If the first stage decoding fails, the decoding is continued by the powerful belief propagation (BP) algorithm. The proposed hybrid decoding algorithm greatly reduces the computational complexity while maintains the same performance compared to that of using the BP algorithm only.
In this paper, reliability based decoding is combined with belief propagation (BP) decoding for low-density parity check (LDPC) codes. At each iteration, the soft output values delivered by the BP algorithm are used as reliability values to perform reduced complexity soft decision decoding of the code considered. This approach allows to bridge the error performance gap between belief propagation decoding which remains suboptimum, and maximum likelihood decoding which is too complex to be implemented for the codes considered. Trade-offs between decoding complexity and error performance are also investigated. In particular, a stopping criterion which reduces the average number of iterations at the expense of very little performance degradation is proposed for this combined decoding approach. Simulation results for several Gallager (1963, 1968) LDPC codes and different set cyclic codes of hundreds of information bits are given and elaborated.
Based on decoding performance,complexity and latency of finite-geometry low-density parity-check(FG-LDPC) codes,an efficient decoding algorithm is proposed.The new algorithm is a hybrid bit-flipping(BF)/majority-logic(MLG) decoding scheme.In BF decoding,an efficient method was explored to measure the reliability of the checks.At the completion of a small number of iterations,the output from BF decoding is decoded by MLG decoding.In the hybrid algorithm,there are no float operations.Simulation results show that the hybrid algorithm can provide 0.3?dB coding gain over weight bit-flipping(WBF) decoding.
In this paper, an efficient iterative receiver for digital communication systems is investigated. It combines a Non-Binary Low-Density Parity-Check (NB-LDPC) decoder with a high-order constellation demapper and a Multiple-Input Multiple-Output (MIMO) detector. A suboptimal MIMO detector based on the Belief Propagation (BP) algorithm is investigated as an alternative to a Maximum Likelihood (ML) detector. Extrinsic information is exchanged between the detector and the decoder thanks to an iterative process. EXtrinsic Information Transfer (EXIT) charts enable to analyze the convergence behaviour of the proposed MIMO-BP detector. A suitable schedule for the different types of iterations is finally proposed to reduce the receiver latency and improve its error correction performance.
Low density parity check (LDPC) codes with iterative decoding based on belief propagation achieve astonishing error performance close to Shannon limit. No algebraic or geometric method for constructing these codes has been reported and they are largely generated by computer search. As a result, encoding of long LDPC codes is in general very complex. This paper presents two classes of high rate LDPC codes whose constructions are based on finite Euclidean and projective geometries, respectively. These classes of codes a.re cyclic and have good constraint parameters and minimum distances. Cyclic structure adows the use of linear feedback shift registers for encoding. These finite geometry LDPC codes achieve very good error performance with either soft-decision iterative decoding based on belief propagation or Gallager's hard-decision bit flipping algorithm. These codes can be punctured or extended to obtain other good LDPC codes. A generalization of these codes is also presented.