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Wavelet Codes for Algorithm-Based Fault Tolerance Applications
July-September 2010 (vol. 7 no. 3)
pp. 315-328
ASCII Text
x 
 
G. Robert Redinbo, "Wavelet Codes for Algorithm-Based Fault Tolerance Applications," IEEE Transactions on Dependable and Secure Computing, vol. 7, no. 3, pp. 315-328, July-September, 2010.
 
 
BibTex
x
 
@article{ 10.1109/TDSC.2009.14,
author = {G. Robert Redinbo},
title = {Wavelet Codes for Algorithm-Based Fault Tolerance Applications},
journal ={IEEE Transactions on Dependable and Secure Computing},
volume = {7},
number = {3},
issn = {1545-5971},
year = {2010},
pages = {315-328},
doi = {http://doi.ieeecomputersociety.org/10.1109/TDSC.2009.14},
publisher = {IEEE Computer Society},
address = {Los Alamitos, CA, USA},
}
 
 
RefWorks Procite/RefMan/Endnote
x 
 
TY - JOUR
JO - IEEE Transactions on Dependable and Secure Computing
TI - Wavelet Codes for Algorithm-Based Fault Tolerance Applications
IS - 3
SN - 1545-5971
SP315
EP328
EPD - 315-328
A1 - G. Robert Redinbo,
PY - 2010
KW - Algorithm-based fault tolerance (ABFT)
KW - wavelet codes
KW - real number coding
KW - failure error detection
KW - systematic wavelet structures
KW - recursive processing.
VL - 7
JA - IEEE Transactions on Dependable and Secure Computing
ER -
 
G. Robert Redinbo, University of California, Davis, Davis
Algorithm-based fault tolerance (ABFT) methods, which use real number parity values computed in two separate comparable ways to detect computer-induced errors in numerical processing operations, can employ wavelet codes for establishing the necessary redundancy. Wavelet codes, one form of real number convolutional codes, determine the required parity values in a continuous fashion and can be intertwined naturally with normal data processing. Such codes are the transform coefficients associated with an analysis uniform filter bank which employs downsampling, while parity-checking operations are performed by a syndrome synthesis filter bank that includes upsampling. The data processing operations are merged effectively with the parity generating function to provide one set of parity values. Good wavelet codes can be designed starting from standard convolutional codes over finite fields by relating the field elements with the integers in the real number space. ABFT techniques are most efficient when employing a systematic form and methods for developing systematic codes are detailed. Bounds on the ABFT overhead computations are given and ABFT protection methods for processing that contains feedback are outlined. Analyzing syndromes' variances guide the selection of thresholds for syndrome comparisons. Simulations demonstrate the detection and miss probabilities for some high-rate wavelet codes.

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Index Terms:
Algorithm-based fault tolerance (ABFT), wavelet codes, real number coding, failure error detection, systematic wavelet structures, recursive processing.
Citation:
G. Robert Redinbo, "Wavelet Codes for Algorithm-Based Fault Tolerance Applications," IEEE Transactions on Dependable and Secure Computing, vol. 7, no. 3, pp. 315-328, July-Sept. 2010, doi:10.1109/TDSC.2009.14
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