In this paper, the error performances of several reliability based decoding algorithms over the Rayleigh fading channel with coherent detection are evaluated. The algorithms for which the theoretical bounds are evalua...
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In this paper, the error performances of several reliability based decoding algorithms over the Rayleigh fading channel with coherent detection are evaluated. The algorithms for which the theoretical bounds are evaluated are the Generalized Minimum Distance(GMD), Chase-type, combined GMD and Chase-type and ordered statistic decodings. All derived bounds are relatively tight and require the same computational effort.
This paper addresses the problem of decoding non-binary low density parity check codes(LDPC) over finite field GF(q) using symbol flipping approach. To achieve low complexity reliable communication, three new algorith...
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This paper addresses the problem of decoding non-binary low density parity check codes(LDPC) over finite field GF(q) using symbol flipping approach. To achieve low complexity reliable communication, three new algorithms for improving the bit error rate performance of the non-binary LDPC decoder are presented. The first type is the symbol flipping decoding algorithm using a flipping function based on the channel reliability to identify the least reliable symbol position. In this algorithm, if the predicted symbol value satisfies the check sum, then the value is declared as correct otherwise the value is adjusted and sent back to the QAM detector. Algorithms 2 in this paper is an improvement to iterative joint detection-decoding algorithm by using the method of iterative hard decision based majority logic to select the new candidate symbol value. The feedback value to the QAM detector is adjusted by using Euclidean distance between the current symbol and the newly selected symbol value. Algorithm 3 is a low complexity version of Algorithm 2 which is derived by applying a majority voting scheme. In the majority voting scheme, symbols are short listed first by voting and all the computation are carried out only for the short listed least reliable symbols which significantly lowers the processing complexity. Numerical results and complexity analysis show that the proposed methods have good bit error rate versus complexity trade-off for various applications when compared with some existing algorithms.
This work proposes a new adaptive approach to the soft decision decoding of the so-called combined Chase-GMD class of algorithms (CGA). A reliability threshold is used to match the decoding performance to the channel ...
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This work proposes a new adaptive approach to the soft decision decoding of the so-called combined Chase-GMD class of algorithms (CGA). A reliability threshold is used to match the decoding performance to the channel conditions. As a result, a significant reduction in decoding complexity can be achieved by reducing the number of required algebraic decodings. The proposed adaptive application can achieve the upper performance limit of the CGA with significant complexity reduction.
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