DocumentCode
1230240
Title
A stable nonuniform sampling expansion involving derivatives
Author
Rawn, Michael D.
Author_Institution
Dept. of Math. Sci., Manchester Coll., North Manchester, IN, USA
Volume
35
Issue
6
fYear
1989
fDate
11/1/1989 12:00:00 AM
Firstpage
1223
Lastpage
1227
Abstract
The work of D.A. Linden and N.M. Abramson (Inf. Control, vol.3, p.26-31, 1960, and vol.4, p.95-6, 1961) is completed in the sense that a full investigation of the convergence properties of the expansion is made. By adapting the work of N. Levinson (Am. Math. Soc. Colloq. Pub. vol.26, 1940) on nonharmonic Fourier series and general results from the theory of B-splines, the author extends the result to the case of sampling with uniformly spaced samples. A stability property is proved
Keywords
convergence; information theory; splines (mathematics); stability; B-splines; convergence properties; derivatives; information theory; nonharmonic Fourier series; signal analysis; stability property; stable nonuniform sampling expansion; uniformly spaced samples; Aircraft; Convergence; Fourier transforms; Harmonic analysis; Helium; Hilbert space; Nonuniform sampling; Sampling methods; Spline; Stability;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/18.45278
Filename
45278
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