Title :
On Successive Refinement of the Binary Symmetric Markov Source
Author :
Lastras-Montano, Luis Alfonso ; Berger, Toby
Author_Institution :
IBM T. J. Watson Res. Center, Yorktown Heights, NY
Abstract :
We show that for every n>2 the standard nth-order approximation Rn(D), to the rate-distortion function of the binary-symmetric Markov source (BSMS) is not successively refineable under the Hamming distortion measure in an open interval of the form D n<D<1/2=Dmax
Keywords :
Hamming codes; Markov processes; binary codes; rate distortion theory; source coding; BSMS; Hamming distortion measure; binary symmetric Markov source; rate-distortion function; successive refinement; Closed-form solution; Distortion measurement; Information theory; Loss measurement; Measurement standards; Performance loss; Propagation losses; Rate-distortion; Source coding; Strontium; Binary-symmetric Markov source; Markov source; critical distortion; lossy source coding; progressive transmission; rate-distortion function; scalable coding; successive refinement;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2006.878163
