几何分布无限源的任意反均匀霍夫曼码

D. Tarniceriu, V. Munteanu, G. Zaharia
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引用次数: 0

摘要

本文研究了一类具有无限字母和几何分布的源的广义反均匀霍夫曼码。这种分布导致在某些参数范围内存在无限的反均匀源。这些源的霍夫曼编码产生AUH编码。我们对二进制霍夫曼编码进行了推广,使用m -字母的编码字母表,并证明了这种编码的结果,获得了具有内存的源。对于这些源,我们附上图并推导状态之间的转移概率,以及状态概率。推导了AUH码的熵和平均代价。
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M-ary anti-uniform Huffman codes for infinite sources with geometric distribution
In this paper we consider the class of generalized anti-uniform Huffman (AUH) codes for sources with infinite alphabet and geometric distribution. This distribution leads to infinite anti-uniform sources for some ranges of its parameters. Huffman coding of these sources results in AUH codes. We perform a generalization of binary Huffman encoding, using a, M-letter code alphabet and prove that as a result of this encoding, sources with memory are obtained. For these sources we attach the graph and derive the transition probabilities between states, as well as the state probabilities. The entropy and the average cost for AUH codes are derived.
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