Multirate filter banks and transform coding gain

An analytical derivation of quantization error in filter banks using additive and signal dependent noise models is presented. The coding gain over PCM is derived for both noise models. Interesting properties of coding gain in optimized filter banks with an AR(1) input signal model, asymptotic performance of multirate systems, and the analytical constraints required to achieve such performance are discussed. Connections to the recent developments of optimal subband systems are presented.