DocumentCode
1402892
Title
Comments on "Sinc interpolation of discrete periodic signals
Author
Candocia, Frank ; Principe, Jose C.
Author_Institution
Dept. of Electr. & Comput. Eng., Florida Univ., Gainesville, FL, USA
Volume
46
Issue
7
fYear
1998
fDate
7/1/1998 12:00:00 AM
Firstpage
2044
Lastpage
2047
Abstract
In a recent paper by T. Schanze (see ibid., vol.43, p.1502-3, 1995) the convolution of the sinc kernel with the infinite sequence of a periodic function was expressed as a finite summation. The expression obtained, however, is not numerically stable when evaluated at or near integer values of time. This correspondence presents a numerically stable formulation that is equivalent to the results reported in the above-cited paper and that, when sampled, is also shown to be equivalent to the inverse discrete Fourier transform (IDFT).
Keywords
Fourier analysis; convolution; discrete Fourier transforms; interpolation; numerical stability; signal sampling; IDFT; convolution; discrete periodic signals; finite summation; infinite sequence; inverse discrete Fourier transform; numerically stable formulation; periodic function; signal samples; sinc interpolation; sinc kernel; Attenuation; Band pass filters; Channel bank filters; Error analysis; Filter bank; Gain; Image coding; Interpolation; Quantization; Signal processing;
fLanguage
English
Journal_Title
Signal Processing, IEEE Transactions on
Publisher
ieee
ISSN
1053-587X
Type
jour
DOI
10.1109/78.700979
Filename
700979
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