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Rate-Distortion Function Upper Bounds for Gaussian Vectors and Their Applications in Coding AR Sources
Jesús Gutiérrez-Gutiérrez1, Marta Zárraga-Rodríguez1, Fernando M Villar-Rosety1
1Tecnun, University of Navarra, Paseo de Manuel Lardizábal 13, 20018 San Sebastián, Spain.
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.
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