Analysis of bit-stuffing codes and lower bounds on capacity for 2-D constrained arrays using quasistationary measures

S. Forchhammer
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引用次数: 2

Abstract

A method for designing quasistationary probability measures for two-dimensional (2-D) constraints is presented. This measure is derived from a modified bit-stuff coding scheme and it gives the capacity of the coding scheme. This provides a constructive lower bound on the capacity of the 2-D constraint. The main examples are checkerboard codes with binary elements. The capacity for one instance of the modified bit-stuffing for the 2-D runlength-limited RLL(2,/spl infin/) constraint is calculated to be 0.4414 bits/symbol. For the constraint given by a minimum (1-norm) distance of 3 between 1s a code with capacity 0.3497 bits/symbol is given.
用准平稳方法分析二维约束阵列的填充码和容量下界
提出了一种设计二维(2-D)约束的准平稳概率测度的方法。该度量是由一种改进的位编码方案推导出来的,并给出了该编码方案的容量。这为二维约束的容量提供了建设性的下界。主要的例子是带有二进制元素的棋盘代码。对于2- d运行长度限制的RLL(2,/spl infin/)约束,一个改进的位填充实例的容量计算为0.4414位/符号。对于1s之间最小(1-范数)距离为3的约束,给出了容量为0.3497位/符号的码。
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