Asymptotic distribution of the errors in scalar and vector quantizers
作者： D.H. Lee , D.L. Neuhoff
DOI: 10.1109/18.485715
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摘要: High-rate (or asymptotic) quantization theory has found formulas for the average squared length (more generally, qth moment of length) error produced by various scalar and vector quantizers with many points. In contrast, this paper finds an asymptotic formula probability density and, in certain special cases, multidimensional vector, itself. The latter can be used to analyze distortion two-stage quantization. former permits one learn about point cell shapes a quantizer from histogram lengths. Histograms lengths simulations agree well derived formulas. Also presented are number properties density, including relationship between shapes, fact that its equals Bennett's integral (a or quantizer), stationary sources, marginals optimal large dimension approximately i.i.d. Gaussian.
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