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Stanković, Radomir S.; Janković, Dragan; Falkowski, Bogdan J.
Minimization of Haar wavelet series and Haar spectral decision diagrams for discrete functions Journal Article
In: Computers and Electrical Engineering, vol. 31, no. 3, pp. 203 – 216, 2005.
Abstract | Links | BibTeX | Tags: Algorithms; Computer hardware; Decision theory; Functions; Optimization; Wavelet transforms; Application of design theory; Decision diagrams; Discrete functions; Discrete transforms; Haar transforms; Switching theory
@article{Stankovi\'{c}2005203,
title = {Minimization of Haar wavelet series and Haar spectral decision diagrams for discrete functions},
author = {Radomir S. Stankovi\'{c} and Dragan Jankovi\'{c} and Bogdan J. Falkowski},
url = {https://www.scopus.com/inward/record.uri?eid=2-s2.0-22644439721\&doi=10.1016%2fj.compeleceng.2005.01.003\&partnerID=40\&md5=35245cc7a0924cec5c36baff50320486},
doi = {10.1016/j.compeleceng.2005.01.003},
year = {2005},
date = {2005-01-01},
journal = {Computers and Electrical Engineering},
volume = {31},
number = {3},
pages = {203 \textendash 216},
abstract = {In this paper, a minimization of Haar wavelet series for simplification of circuits and Haar based decision diagrams representing discrete multiple-valued functions is proposed. The minimization is performed by permutation of indices of generalized Haar functions. Experimental results show that this method provides reasonable reduction in the number of non-zero coefficients. The Haar series reduced this way can be useful in the circuit synthesis for realization of multiple-valued functions. The same algorithm can be also used to reduce the number of paths in decision diagrams related to the Haar wavelet transforms. In many cases, this reduction provides smaller size of such decision diagrams. © 2005 Elsevier Ltd. All rights reserved.},
keywords = {Algorithms; Computer hardware; Decision theory; Functions; Optimization; Wavelet transforms; Application of design theory; Decision diagrams; Discrete functions; Discrete transforms; Haar transforms; Switching theory},
pubstate = {published},
tppubtype = {article}
}