The redundancy of successive refinement codes and codes with side information

We consider the problem of determining the redundancy of successive refinement codes and codes with side information, as a function of their blocklength. It is shown that successive refinement codes accumulate an O(logn/2n) redundancy term at each stage of the encoding process, which may result in a considerable degradation of the final description. Redundancy result for codes with side information is also presented.