DocumentCode :
1085635
Title :
On piecewise-linear basis functions and piecewise-linear signal expansions
Author :
Paul, Clayton R. ; Koch, Roland W.
Author_Institution :
University of Kentucky, Lexington, Ky
Volume :
22
Issue :
4
fYear :
1974
fDate :
8/1/1974 12:00:00 AM
Firstpage :
263
Lastpage :
268
Abstract :
A set of piecewise-linear (PL) basis functions for signal or functional decomposition is introduced. These basis functions provide a PL approximation to the signal and an a priori determination of the required number for a finite term expansion to achieve a certain pointwise approximation error. Moreover, the expansion coefficients are linear combinations of samples of the function to be expanded and are virtually trivial to determine.
Keywords :
Approximation error; Convergence; Fourier series; Frequency; Hardware; Helium; Image processing; Logic; Piecewise linear techniques; Signal generators;
fLanguage :
English
Journal_Title :
Acoustics, Speech and Signal Processing, IEEE Transactions on
Publisher :
ieee
ISSN :
0096-3518
Type :
jour
DOI :
10.1109/TASSP.1974.1162585
Filename :
1162585
Link To Document :
بازگشت