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
fDate :
8/1/1974 12:00:00 AM
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;
Journal_Title :
Acoustics, Speech and Signal Processing, IEEE Transactions on
DOI :
10.1109/TASSP.1974.1162585