FPGA-Based Parallel Comparison of Run-Length-Encoded Strings

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The length of the longest common subsequence (LCS) between two strings of M and N characters can be computed by O(M × N) dynamic programming algorithms that can execute in O(M+N) on a linear systolic array. If the strings are run-length encoded, LCS can be computed by an O(mN+Mn–mn) algorithm, called RLE-LCS, where m and n are the numbers of runs of the two strings.In this paper we propose a modified RLE-LCS algorithm mappable on a linear systolic array.