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가중 비이진 RA 부호의 새로운 중단 기준 제안

가중 비이진 RA 부호의 새로운 중단 기준 제안
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In this thesis, we develope a new stopping criterion for the weighted nonbinary repeat-accumulate (WNRA) codes over GF(q). The decoding complexity of WNRA codes increases in proportion to the modulation order. Similar to binary repeat-accumulate (RA) codes, a stopping criterion can be a very effective method in order to reduce the decoding complexity of WNRA decoders with some performance degradation. The message vectors in nonbinary belief-propagation (BP) decoder is updated in every iteration. In addition, one of the elements in message vectors becomes more dominant whenever the iteration proceeds. In this reason, observing the behaviors of message vectors in every iterations can provide the information of decoding progress indicating the possiblity of successful decoding. We propose a new stopping criterion which requires negligible additional complexity with little performance degradation. By choosing the threshold value adequately, the proposed stopping criterion have the additional complexity only in bit-wise comparison operations. The simulation results show that the decoding algorithm by using the proposed stopping criterion reduces the average number of iterations of BP decoders for WNRA codes over GF(q) with q-ary frequency-shift keying (FSK) by less than one half compared to the algorithm by using the fixed number of iterations within 0.05 dB frame error rate (FER) performance degradation at FER 10¡1.
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