6533b821fe1ef96bd127c0b6
RESEARCH PRODUCT
Analysis of Optimal High Resolution and Fixed Rate Scalar Quantization
R. SeilerVolker Bachsubject
Discrete mathematicsAsymptotically optimal algorithmScalar quantizationQuantization (signal processing)Applied mathematicsHigh resolutionProbability distributionLibrary and Information SciencesInformation theoryNatural classComputer Science ApplicationsInformation SystemsMathematicsdescription
In 2001, Hui and Neuhoff proposed a uniform quantizer with overload for the quantization of scalar signals and derived the asymptotically optimal size of the quantization bins in the high-bitrate limit. The purpose of the present paper is to prove a quantitatively more precise version of this result which, at the same time, is valid for a more general, quite natural class of probability distributions that requires only little regularity and includes, for instance, positive Lipschitz-continuous functions of unit integral.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2009-04-01 | IEEE Transactions on Information Theory |