Using a generating function approach, a computationally tractable expression is derived to predict the frame error rate arising at the output of the binary symmetric channel when a number of outer Reed-Solomon codes are concatenated with a number of inner Bose-Ray-Chaudhuri-Hocquenghem codes, thereby obviating the need for time-consuming Monte Carlo simulations. Measuring (a) code performance via the gap to the Shannon limit, (b) decoding complexity via an estimate of the number of operations per decoded bit, and (c) decoding latency by the overall frame length, a code search is performed to determine the Pareto frontier for performance-complexity-latency trade-offs.
翻译:采用生成函数方法,推导出一个计算可处理表达式,用于预测二元对称信道输出端的帧错误率——此时多个外里德-所罗门码与多个内博斯-乔杜里-霍克文汉姆码构成级联,从而避免了耗时蒙特卡洛仿真的需求。通过以下三项指标:(a)以与香农限的差距衡量码性能,(b)以每解码比特运算量估计值衡量解码复杂度,(c)以总帧长度衡量解码延迟,执行码搜索以确定性能-复杂度-延迟权衡的帕累托前沿。