首页> 外文会议>Annual Allerton Conference on Communication, Control, and Computing; 20040929-1001; Monticello,IL(US) >Bounds on the Average Binary Minimum Distance and the Maximum Likelihood Performance of Reed Solomon Codes
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Bounds on the Average Binary Minimum Distance and the Maximum Likelihood Performance of Reed Solomon Codes

机译:Reed Solomon码的平均二进制最小距离和最大似然性能的界

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摘要

In this paper, an average binary weight enumerator of Reed Solomon (RS) codes is derived assuming a binomial distribution of the bits in a non-zero symbol. Lower bounds on the average binary minimum distance are shown. The averaged binary image of the RS code is shown to be asymptotically good for sufficiently high rates. These results are used to bound the maximum likelihood performance of RS codes, whose binary image is modulated using binary phase shift keying on AWGN channels, for both hard and soft decision decoding.
机译:在本文中,假设非零符号中位的二项式分布,则得出里德所罗门(RS)码的平均二进制权重枚举数。显示了平均二进制最小距离的下限。对于足够高的速率,RS码的平均二进制图像显示为渐近良好。这些结果用于限制RS码的最大似然性能,RS码的二进制图像使用AWGN通道上的二进制相移键控进行调制,用于硬判决和软判决解码。

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