By Toby Berger, Lee D. Davisson (auth.)
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For example, if.!. = 010110, then~ = 000110 is closest in the sense of the Hamming metric. When traversing the path- from the root to the leaf y = 000110, we branch first up, then down, and then up at the successive nodes cncountcrcd. Hence, this path is specified by the binary path map sequence 010, whcrc 0 represents "up" and 1 represents "down". In this way we have compressed a source sequcnce of length 6 into a path map oflength 3. Despite the fact that the data rate has been ~ompressed by a factor of two, most of the original source digits can be recovcred correctly.
Y. A. VAN DER HORST (1973) "BCH Source Codes", Submitted to IEEE Trans. on Information Theory. Y. Chapter 2. , (1969) "Tree Encoding of Memoryless Time-Discrete Sources with a Fidelity Criterion", Trans. IEEE, IT-15, 584-590. B. ANDERSON (1971) "Instrumentable Tree Encoding and Information Sources", Trans. IEEE, IT-17, 118-119. , and F. JELINEK (1973) "A Two-Cycle Algorithm for Source Coding with a Fidelity Criterion", Trans. IEEE, IT-19, 77-92. , (1973) "Tree Encoding for Symmetrie Sources with a Distordon Measure", Presented at 1973 IEEE Int'l.
Fixed Rate Universal Source Coding with a Fidelity Criterion", submitted to IEEE Trans. IT. , "Coding Theorems for Non-Ergodie Sources and Sources with Unknown Parameters", USC Technieal Report, February 1974. , vol IT-18, No. 4, July 1972, pp. 460-473.