DocumentCode
1096618
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
Volume
29
Issue
5
fYear
1981
fDate
10/1/1981 12:00:00 AM
Firstpage
1094
Lastpage
1096
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;
fLanguage
English
Journal_Title
Acoustics, Speech and Signal Processing, IEEE Transactions on
Publisher
ieee
ISSN
0096-3518
Type
jour
DOI
10.1109/TASSP.1981.1163667
Filename
1163667
Link To Document