Comment on "Parseval relationship of nonuniform samples of one- and two-dimensional signals"

Author

Zhu, Y.S. ; Leung, S.W.

Author_Institution

Dept. of Electron. Eng., City Polytech. of Hong Kong, Kowloon, Hong Kong

Volume

42

Issue

8

fYear

1994

Firstpage

2183

Abstract

For original article see Marvasti and Liu (IEEE Trans. Acoust. Speech, Signal Processing, vol.38, no.6, p.1061-3 (1993). In the original article the proof of (1) states that x/sub lp/(t) is the low-pass filtered version of the nonuniform samples and can be obtained by the following interpolation: x/sub lp/(t)=/spl int//sub -/spl infin///sup /spl infin//x(t/sub n/)sinc[W(t-t/sub n/)]dt. The present authors suggest that this equation is incorrect, because the response of a linear system to an arbitrary input signal is the convolution of the input signal and the impulse response df the system according to the signal and system theory. Thus, they give a revised version of x/sub lp/(t).<>

Keywords

filtering and prediction theory; interpolation; linear systems; low-pass filters; signal processing; transient response; convolution; impulse response; input signal; interpolation; linear system; low-pass filtered version; nonuniform samples; one-dimensional signals; parseval relationship; two-dimensional signals; Deconvolution; Equations; Filtering theory; Fourier transforms; Frequency; Interpolation; Least squares methods; Linear systems; Low pass filters; Nonlinear filters;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.301855

Filename

301855