On the uniform quantization of a class of sparse sources
Résumé
We consider the uniform scalar quantization of a class of mixed distributed memoryless sources, namely sources having a Bernoulli-Generalized Gaussian distribution. Both for low and high resolutions, asymptotic expressions of the distortion for a p-th order moment error measure, and close approximations of the entropy are provided for these sources. Operational rate-distortion functions at high bitrate and their slope factors at low bitrate are derived. The dependence of these results on p and the distribution parameters as well as the relation to the Shannon optimal rate-distortion bound are then discussed.
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