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Proceedings Paper

An improved family of exponentially accurate sigma-delta quantization schemes
Author(s): Felix Krahmer
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Paper Abstract

ΣΔ-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 script-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.

Paper Details

Date Published: 27 September 2007
PDF: 8 pages
Proc. SPIE 6701, Wavelets XII, 670105 (27 September 2007); doi: 10.1117/12.735280
Show Author Affiliations
Felix Krahmer, New York Univ. (United States)

Published in SPIE Proceedings Vol. 6701:
Wavelets XII
Dimitri Van De Ville; Vivek K. Goyal; Manos Papadakis, Editor(s)

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