Title :
On nonuniform sampling expansions using entire interpolating functions, and on the stability of Bessel-type sampling expansions
Author :
Rawn, Michael D.
Author_Institution :
Dept. of Math. Sci., Manchester Coll., North Manchester, IN, USA
fDate :
5/1/1989 12:00:00 AM
Abstract :
The author has extended the work of N. Levinson (1940) to derive nonuniform sampling expansions that are stable in the sense of K. Yao and J.B. Thomas (IEEE Trans. Circuit Theory, vol.CT-14, p.404-8, 1967) and reduce to Bessel-type sampling expansions for a particular choice of the sampling sequence
Keywords :
Bessel functions; information theory; interpolation; stability; Bessel-type sampling expansions; entire interpolating functions; information theory; nonuniform sampling expansions; stability; Fourier series; Frequency conversion; Lagrangian functions; Nonuniform sampling; Sampling methods; Signal analysis; Stability; Tires; Uncertainty;
Journal_Title :
Information Theory, IEEE Transactions on
