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This paper considers the decomposition of a complex matrix as the product of several sets of semi-unitary matrices and upper triangular matrices in iterative manner. The innermost triangular matrix has its diagonal elements equal to the geometric mean of the singular values of the complex matrix. This decomposition, generalized geometric mean decomposition (GGMD), has one order less complexity than...
This paper presents a log-domain decoder for non-binary LDPC over GF(q). Comparing with the conventional O(q2) decoders, the proposed decoder can efficiently reduce the decoding complexity to O(qlogq) with only negligible degradation in BER. Comparisons on both simulated BER performance and computational complexity between the proposed and existing log-domain decoders are also provided.
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