Optimal bit allocation for universal fixed-rate vector quantization

We investigate the performance of a mismatched fixed-rate lossy code which is designed for a source different from the "true" source. The notion of rate-distortion discrepancy between two pmf's is shown to provide a lower bound for the expected excess rate due to mismatch for every fixed-rate code. This notion is used to study the problem of optimal rate allocation for the descriptions of source statistics and data in a two-stage universal vector quantisation scheme.