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Author Cvetkovic, Z. ♦ Vetterli, M.
Source IEEE Xplore Digital Library
Content type Text
Publisher Institute of Electrical and Electronics Engineers, Inc. (IEEE)
File Format PDF
Copyright Year ©1996
Language English
Subject Domain (in DDC) Technology ♦ Engineering & allied operations ♦ Applied physics
Subject Keyword Quantization ♦ Redundancy ♦ Noise robustness ♦ Additive noise ♦ Noise reduction ♦ Image reconstruction ♦ White noise ♦ Degradation ♦ Frequency ♦ Systems engineering and theory
Abstract The motivation for the development of the theory of time-frequency and time-scale expansions towards wavelet and Weyl-Heisenberg frames stems mainly from the design freedom which is usually attained with overcomplete expansions. Also, it has been observed that for a given accuracy of representation overcomplete expansions allow for a progressively coarser quantization provided that the redundancy is increased. Increased robustness of overcomplete expansions compared to nonredundant ones is manifested for two primary sources of degradation, white additive noise and quantization. Reconstruction from expansion coefficients adulterated by an additive noise reduces the noise effect by a factor proportional to the expansion redundancy. We conjecture that the effect of the quantization error can be reduced inversely to the square of the expansion redundancy and prove that result in two particular cases, Weyl-Heisenberg expansions and oversampled A/D conversion.
Description Author affiliation: Dept. of Electr. Eng. & Comput. Sci., California Univ., Berkeley, CA, USA (Cvetkovic, Z.)
ISBN 0780335120
Educational Role Student ♦ Teacher
Age Range above 22 year
Educational Use Research ♦ Reading
Education Level UG and PG
Learning Resource Type Article
Publisher Date 1996-06-18
Rights Holder Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Size (in Bytes) 402.60 kB
Page Count 4
Starting Page 325
Ending Page 328

Source: IEEE Xplore Digital Library