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A practical method for approaching the channel capacity of constrained channels

机译:一种逼近受限信道容量的实用方法

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A new coding technique is proposed that translates user information into a constrained sequence using very long codewords. Huge error propagation resulting from the use of long codewords is avoided by reversing the conventional hierarchy of the error control code and the constrained code. The new technique is exemplified by focusing on (d, k)-constrained codes. A storage-effective enumerative encoding scheme is proposed for translating user data into long dk sequences and vice versa. For dk runlength-limited codes, estimates are given of the relationship between coding efficiency versus encoder and decoder complexity. We show that for most common d, k values, a code rate of less than 0.5% below channel capacity can be obtained by using hardware mainly consisting of a ROM lookup table of size 1 kbyte. For selected values of d and k, the size of the lookup table is much smaller. The paper is concluded by an illustrative numerical example of a rate 256/466, (d=2, k=15) code, which provides a serviceable 10% increase in rate with respect to its traditional rate 1/2, (2, 7) counterpart.
机译:提出了一种新的编码技术,该技术使用非常长的码字将用户信息转换为约束序列。通过反转差错控制码和受约束码的常规层次结构,可以避免由于使用长码字而导致的大量错误传播。通过关注(d,k)约束代码来举例说明新技术。提出了一种存储有效的枚举编码方案,用于将用户数据转换为长dk序列,反之亦然。对于dk游程长度受限的代码,给出了编码效率与编码器和解码器复杂度之间关系的估计。我们表明,对于最常见的d,k值,通过使用主要由大小为1 KB的ROM查找表组成的硬件,可以获得低于信道容量0.5%以下的编码率。对于d和k的选定值,查找表的大小要小得多。本文以速率256/466(d = 2,k = 15)码的说明性数值示例作为结论,该代码相对于传统速率1/2,(2,7)提供了可服务的10%的速率增加)对应对象。

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