On successive refinement of the binary symmetric Markov source

We show that for every n > 2 the standard n th-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 Dn<D<1/2=Dmax. © 2006 IEEE.