Moment preserving quantization (signal processing)
作者： E.J. Delp , O.R. Mitchell
DOI: 10.1109/26.111432
关键词: Quantization (signal processing) 、 Gaussian 、 Mathematics 、 Probability distribution 、 Laplace operator 、 Block Truncation Coding 、 Gaussian process 、 Random variable 、 Discrete mathematics 、 Probability density function
摘要: The general solution to the moment-preserving (MP) quantizer problem is presented. It shown that moment preserving related Gauss-Jacobi mechanical quadrature, output levels of N-level MP are N zeros an Nth degree orthogonal polynomial associated with input probability distribution function, and N-1 thresholds Christoffel numbers through Chebyshev-Markov-Stieltjes separation theorem. statistical convergence investigated. tables presented for uniform, Gaussian, Laplacian density functions. be block truncation coding. >
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