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On the Uniform Quantization of a Class of Sparse Sources

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3 Author(s)
Fraysse, A. ; Lab. des Signaux et Syst., Univ. Paris-Sud, Gif-sur-Yvette ; Pesquet-Popescu, B. ; Pesquet, J.

We consider the uniform scalar quantization of a class of mixed distributed memoryless sources, namely sources having a Bernoulli Generalized Gaussian (BGG) distribution. Both for low and high resolutions, asymptotic expressions of the distortion for a pth-order moment error measure, and close approximations of the entropy are provided for these sources. Operational rate-distortion functions at high bit rate and their slope factors at low bit rate 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. The application of these results to transform coding in two simple cases is finally highlighted.

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Information Theory, IEEE Transactions on  (Volume:55 ,  Issue: 7 )