Title :
A stable nonuniform sampling expansion involving derivatives
Author :
Rawn, Michael D.
Author_Institution :
Dept. of Math. Sci., Manchester Coll., North Manchester, IN, USA
fDate :
11/1/1989 12:00:00 AM
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;
Journal_Title :
Information Theory, IEEE Transactions on
