Entropy-coded quantization of periodic nonuniform samples

Adam Mashiach, Ram Zamir

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

Abstract

We consider the quantization-noise amplification problem, in nonuniform sampling of bandlimited signals at Nyquist rate or higher. We first show that it is possible to avoid noise amplification in periodic nonuniform sampling, by oversampling (above Nyquist) by a factor of the period length. We prove that entropy-coded dithered quantization (ECDQ), with such periodic oversampling, can achieve the rate-distortion function (RDF) of a white Gaussian source. In the Nyquist (average) rate case, we show that while nonuniform sampling amplifies the reconstruction error, it lowers the ECDQ coding rate (though not enough to achieve the Gaussian RDF). We then show that if the ECDQ shapes the spectrum of the quantization noise via a feedback loop (which depends on the sampling pattern), then it can eliminate the noise amplification and achieve the Gaussian RDF.

Original languageEnglish
Title of host publication2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012
DOIs
StatePublished - 2012
Event2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012 - Eilat, Israel
Duration: 14 Nov 201217 Nov 2012

Publication series

Name2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012

Conference

Conference2012 IEEE 27th Convention of Electrical and Electronics Engineers in Israel, IEEEI 2012
Country/TerritoryIsrael
CityEilat
Period14/11/1217/11/12

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