DocumentCode
1141352
Title
Parseval´s relationship for nonuniform samples of signals with several variables
Author
Feichtinger, Hans G.
Author_Institution
Dept. of Math., Vienna Univ., Austria
Volume
40
Issue
5
fYear
1992
fDate
5/1/1992 12:00:00 AM
Firstpage
1262
Lastpage
1263
Abstract
The author shows that the Parseval´s relationship as described by F.A. Marvasti and L. Chuande (see IEEE Trans. Acoust., Speech, Sign. Processing, vol.38, no.6, p.1061-3, 1990) only holds true for bandlimited signals of finite energy if the irregular sampling sequence is relatively separated, e.g. if there is a positive minimal distance between two sampling points. The author presents a correct proof of the result for bandlimited functions of any number of variables, if this condition is satisfied
Keywords
signal processing; Parseval´s relationship; bandlimited functions; bandlimited signals; finite energy; irregular sampling sequence; nonuniform samples; Convergence; Fourier transforms; Frequency; Lattices; Low pass filters; Mathematics; Nonuniform sampling; Sampling methods;
fLanguage
English
Journal_Title
Signal Processing, IEEE Transactions on
Publisher
ieee
ISSN
1053-587X
Type
jour
DOI
10.1109/78.134489
Filename
134489
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