A Tree Based Algorithm for Generating All Possible Binary Compact Codes with N Codewords(Source Cording/Image Processing)(<Special Section>Information Theory and Its Applications)
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概要
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A source code for N symbols can be represented by a codeword length sequence (l_1, l_2, , l_N). A binary code is compact if it satisfiesΣ^N_<j=1>2^<-l_3>=1 Also we may assume that 1≤l_1≤l_2≤ ・ ≤l_N. In this paper, we show that these two constraints can be replaced by max{l_<ι-1>≤log2/(1-Σ^<ι-1>_<j=1>2^<-l_3>)≤}≤l_ιle;≤log(N-ι+1)/(1-Σ^<ι-1>_<j=1>2^<-l_3>)≤for 1≤ι≤N-1. Using the latter characterization, we construct a tree T^N representing all binary compact codes In fact every leaf of T^N represents a compact code and vice versa. This technique can also be used to generate all compact codes for a given (l_1, l_2, ・・・, l_κ), κ<N
- 社団法人電子情報通信学会の論文
- 2003-10-01
著者
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T. Gulliver
The Department Of Electrical & Computer Engineering University Of Victoria
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KHOSRAVIFARD Mohammadali
the Department of Electrical & Computer Engineering, Isfahan University of Technology
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ESMAEILI Morteza
the Department of Mathematical Sciences, Isfahan University of Technology
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SAIDI Hossein
the Department of Electrical & Computer Engineering, Isfahan University of Technology
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Saidi Hossein
The Department Of Electrical & Computer Engineering Isfahan University Of Technology
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Esmaeili Morteza
The Department Of Mathematical Sciences Isfahan University Of Technology
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Khosravifard Mohammadali
The Department Of Electrical & Computer Engineering Isfahan University Of Technology
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- A Tree Based Algorithm for Generating All Possible Binary Compact Codes with N Codewords(Source Cording/Image Processing)(Information Theory and Its Applications)