NDLI: Protecting wavelet lifting transforms

Content Provider	IEEE Xplore Digital Library
Author	Redinbo, G.R. Nguyen, C.
Copyright Year	2004
Description	Author affiliation: Dept. of Electr. & Comput. Eng., California Univ., Davis, CA, USA (Redinbo, G.R.; Nguyen, C.)
Abstract	Wavelet transforms are the central to many applications in image processing and data compression. They have banks of multirate filters that are difficult to protect from computer-induced numerical errors. An efficient algorithm-based fault tolerance approach is proposed for detecting arithmetic errors in the output data. Concurrent weighted parity values are designed to detect the effects of a single numerical error within the transform structure. The parity calculations use weighted sums of data, where the input parity weighting is related to the weighting used on the output data. Each parity computation is properly viewed as an inner product between weighting values and the data motivating the use of dual space functionals related to the error gain matrices that describe error propagations to the output. The parity weighting values are defined by a combination of dual space functionals. An iterative procedure for evaluating the design of the parity weights has been incorporated in Matlab code.
Sponsorship	IEEE Comput. Soc. Tech. Committee on Fault Tolerant Comput. LAAS-CNRS
Starting Page	227
Ending Page	236
File Size	335122
Page Count	10
File Format	PDF
ISBN	0769520766
DOI	10.1109/PRDC.2004.1276573
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2004-03-03
Publisher Place	French Polynesia
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Protection Wavelet transforms Computer errors Application software Image processing Data compression Filter bank Fault tolerance Fault detection Arithmetic
Content Type	Text
Resource Type	Article

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