Title :
Parseval´s relationship for nonuniform samples of signals with several variables
Author :
Feichtinger, Hans G.
Author_Institution :
Dept. of Math., Vienna Univ., Austria
fDate :
5/1/1992 12:00:00 AM
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;
Journal_Title :
Signal Processing, IEEE Transactions on
