Rate-Distortion Function Upper Bounds for Gaussian Vectors and Their Applications in Coding AR Sources

Abstract

In this paper, we give upper bounds for the rate-distortion function (RDF) of any Gaussian vector, and we propose coding strategies to achieve such bounds. We use these strategies to reduce the computational complexity of coding Gaussian asymptotically wide sense stationary (AWSS) autoregressive (AR) sources. Furthermore, we also give sufficient conditions for AR processes to be AWSS.

Keywords

• source coding
• rate-distortion function (RDF)
• Gaussian vector
• autoregressive (AR) source
• discrete Fourier transform (DFT)