Advances in Source Coding by Toby Berger, Lee D. Davisson (auth.)

By Toby Berger, Lee D. Davisson (auth.)

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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. 1875. 110. It should be clear that tree codes can be designed with any desired rate. If there are b branches per node and t letters per branch, then the rate is R = Q- 1 1og d Also, the letters an the branches can be chosen from any reproducing alphabet whatsoever including a continuous alphabet, so tree coding is not restricted to GF(q). Tree encoding of sourceswas first proposed by Gabliek (1962).

Vol IT-18, No. 4, July 1972, pp. 460-473.

N+ N _ 1 ), i = 0,1, ... , independently of previous or future blocks. The index i will be suppressed subsequently. The block coder maps XN into a reproduction x(XN ). The block coding restriction eliminates such methods as ,run-length encoding, but is made for analytical simplicity and the fact that block encoders provide a large and useful dass. The dassical Shannon theory [ 1,2] provides f:tgUres of merit and bounds on optimal performance for block-encoders (hereafter called simply encoders) x(X N) when the source is stationary and ergodie and the source probabilities are known precisely.

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