Trellis-Based QC-LDPC Convolution Codes Enabling Low Power Decoders in Adaptive Technique
Journal Title: Scholars Journal of Engineering and Technology - Year 2016, Vol 4, Issue 5
Abstract
Abstract:Nowadays, in high data rate wireless communication systems, the power consumption of the baseband modems is significantly affected by the channel decoder complexity, especially when codes like LDPC are used. In this paper, we propose a new type of code called Trellis-based Quasi-Cyclic (TQC)-LDPC convolution code, which is a special case of photograph-based LDPC convolution codes. The proposed TQC-LDPC convolution code can be derived from any QC-LDPC block code by introducing trellis-based convolution dependency to the code. The main advantage of the proposed TQC-LDPC convolution code is that it allows reduced decoder complexity and input granularity (which is defined as the minimum number of input information bits the code requires to generate a codeword) while maintaining the same bit error-rate as the underlying QC-LDPC block code ensemble. We also propose two related power-efficient encoding methods to increase the code rate of the derived TQC-LDPC convolution code. The newly derived short constraint length TQC-LDPC convolution codes enable low complexity trellis-based decoders and one such decoder is proposed and described in this paper (namely, QC-Viterbi). The TQC-LDPC convolution codes and the QC-Viterbi decoder are compared to conventional LDPC codes and Belief Propagation (BP) iterative decoders with respect to bit-error-rate (BER), signal-to-noise ratio (SNR), and decoder complexity. We show both numerically and through hardware implementation results that the proposed QC-Viterbi decoder outperforms the BP iterative decoders by at least 1 dB for same complexity and BER. Alternatively, the proposed QC-Viterbi decoder has 3 times lower complexity than the BP iterative decoder for the same SNR and BER. This low decoding complexity, low BER, and fine granularity makes it feasible for the proposed TQC-LDPC convolution codes and associated trellis-based decoders to be efficiently implemented in high data rate, next generation mobile systems. Keywords:TQC-LDPC, convolution codes, Trellis-Based decoders.
Authors and Affiliations
Akilambigai P, Senathipathi N, Kalirajan K, Soniya PC
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