Analytical rate versus distortion characteristics for LMS adaptive source coding

This paper investigates analytically and experimentally the rate (transmitted bandwidth) versus signal distortion introduced by transmitting and reconstructing the signal from the quantized LMS prediction residual. The contribution of this paper is the analytical determination of the received signal distortion as a function of quantizer wordlength (which determines the transmitted bit rate), LMS filter parameters and input signal correlation properties. This distortion is computable for both the transient adaptation stage and in the steady state converged stage.