On lattice quantization noise

Ram Zamir*, Meir Feder

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

7 Scopus citations

Abstract

We present several results regarding the properties of a random vector, uniformly distributed over a lattice cell. This random vector is the quantization noise associated with dithered lattice quantization, and at high resolution it is the noise generated in regular lattice quantization of 'smooth' sources. We find that the noise associated with the optimal lattice quantizers is wide-sense stationary and white. Actually, in entropy coded dithered quantization where the quantization procedure can be modeled as an additive noise channel, this limit behavior implies that both the asymptotic MSE distortion and the mutual-information between input and output of the quantization channel, approaches the MSE and the mutual-information between input and output of an Additive White Gaussian Noise (AWGN) channel.

Original languageEnglish
Title of host publicationProceedings of the Data Compression Conference
EditorsJames A. Storer, Martin Cohn
PublisherPubl by IEEE
Pages380-389
Number of pages10
ISBN (Print)0818656379
StatePublished - 1994
EventProceedings of the Data Compression Conference - Snowbird, UT, USA
Duration: 29 Mar 199431 Mar 1994

Publication series

NameProceedings of the Data Compression Conference

Conference

ConferenceProceedings of the Data Compression Conference
CitySnowbird, UT, USA
Period29/03/9431/03/94

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