Title :
On completeness of the piecewise linear basis set and convergence behavior of the piecewise linear series
Author :
Nohara, K. ; Minamoto, S.
Author_Institution :
University of Osaka Prefecture, Sakai, Osaka, Japan
fDate :
10/1/1981 12:00:00 AM
Abstract :
In this work we first show that the set of piecewise linear (PL) functions introduced by Paul and Koch is complete in the space of functions square integrable over a finite interval [0, T]. We then discuss the convergence behavior of PL series corresponding to this basis set.
Keywords :
Convergence; Filters; Frequency; Image coding; Narrowband; Piecewise linear techniques; Prototypes; Roundoff errors; Solids; Stability;
Journal_Title :
Acoustics, Speech and Signal Processing, IEEE Transactions on
DOI :
10.1109/TASSP.1981.1163667
