Read e-book online Advances in Source Coding PDF

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

ISBN-10: 3211813020

ISBN-13: 9783211813027

ISBN-10: 3709129281

ISBN-13: 9783709129289

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Performances for Gauss-MSE Problem A LLOYD-MAX OUANnZOS,UNCODED e LLOVO-MAX OUANTIZERS,COOED • BEST TREE CODE, 1•5 x lEST TIElliS CODE,hsS but approximatcly 1/ 4bit higher lies the performance curve of the best entropycoded quantizers. Thc small separation indicates that there is very little tobe gained by more sophisticated encoding techniques. This is not especially surprising given the memorylcss nature of both the source and the fidelity criterion. It must be emphasized, however, that entropy coding necessitates the use of a buffer to implement the conversion to variable-length codewords.

Thus pn measures how well Xn and yn can be matched in the Pn sense by probabilistically connecting the random vectors in a way consistent with their given distributions. Alternative definitions and properdes of the p distance are given in [ 7 ] and [ 8] . In particular, it is there proved that p is a metric and that p has the following simple (but less useful here) alternative definition: p(O,l/>) = inf {Wn }:= E(P(X0 ,Y0 )) -oo where {Wn } n=- oo are stationary random processes of pairs Wn = (X , Y• ) n n such that the coordinate process { ~ } is the 8 process and {YJ is the l/> process.

6) holds for all possible W. The measure W might be a prior probability or a preference weighting. ) 6 ~ =0 , uniformly in 8. 8) The types of universal codes are analogaus to the types of optimal estimates in statistics. N e , then The advantage here is that a singl~ fmite blocklength code has redundancy less than E for all 8 . A strongly-minimax universal sequence of codes is obviously also weakly-minimax. Since r6 (C N) ;;;a. 0, weakly-minimax code sequences are also weighted universal for any prior by a Standard theorem of integration.

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


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