An improved family of exponentially accurate sigma-delta quantization schemes

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Abstract

EA-modulation is an A/D-conversion method which represents a bandlimited signal by sequences of ±1 whose local averages approximate the function values. The best bounds for the decay rate of the ℓ-error arising from such quantization schemes have been given by Güntürk. 1 He constructs an infinite family of schemes which lead to an algorithm that establishes exponential error decay with decay rate 0.077. In this paper we improve his construction introducing an additional symmetry, which is suggested by numerical experiments. To show that the modified schemes are still stable, we use the asymptotics of the Γ-function. This leads to a bound of 0.088 for the error decay rate.

Original languageEnglish
Title of host publicationWavelets XII
DOIs
StatePublished - 2007
Externally publishedYes
EventWavelets XII - San Diego, CA, United States
Duration: 26 Aug 200729 Aug 2007

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume6701
ISSN (Print)0277-786X

Conference

ConferenceWavelets XII
Country/TerritoryUnited States
CitySan Diego, CA
Period26/08/0729/08/07

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