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Low-complexity sequential lossless coding for piecewise-stationary memoryless sources

机译:分段平稳无记忆源的低复杂度顺序无损编码

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摘要

Three strongly sequential, lossless compression schemes, one with linearly growing per-letter computational complexity, and two with fixed per-letter complexity, are presented and analyzed for memoryless sources with abruptly changing statistics. The first method, which improves on Willems' (1994) weighting approach, asymptotically achieves a lower bound on the redundancy, and hence is optimal. The second scheme achieves redundancy of O(log N/N) when the transitions in the statistics are large, and O (log log N/log N) otherwise. The third approach always achieves redundancy of O (/spl radic/log N/N). Obviously, the two fixed complexity approaches can be easily combined to achieve the better redundancy between the two. Simulation results support the analytical bounds derived for all the coding schemes.
机译:针对具有突然变化的统计数据的无记忆源,提出并分析了三种强顺序无损压缩方案,一种具有线性增长的每个字母的计算复杂度,另一种具有固定的每个字母的复杂度。第一种方法改进了Willems(1994)的加权方法,渐近地实现了冗余的下限,因此是最优的。当统计数据的过渡较大时,第二种方案可实现O(log N / N)的冗余,否则实现O(log log N / log N)的冗余。第三种方法总是实现O的冗余(/ splidic / log N / N)。显然,可以轻松地将这两种固定复杂性方法组合在一起,以实现两者之间更好的冗余。仿真结果支持为所有编码方案得出的解析范围。

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