Abstract

A sampling theorem applicable to that class of linear systems characterized by sufficiently slowly varying line-spread functions is developed. For band-limited inputs such systems can be exactly characterized with knowledge of the sampled system line-spread function and the corresponding sampled input. The desired sampling rate is shown to be determined by both the system and the input. The corresponding output is shown to be band limited. A discrete matrix representation of the specific system class is also presented. Applications to digital processing and coherent space-variant system representation are suggested.

© 1976 Optical Society of America

Holographic representation of space-variant systems: system theory

Robert J. Marks and Thomas F. Krile
Appl. Opt. 15(9) 2241-2245 (1976)

Piecewise isoplanatic modeling of space-variant linear systems

Shing-Hong Lin, Thomas F. Krile, and John F. Walkup
J. Opt. Soc. Am. A 4(3) 481-487 (1987)

Image Evaluation by Use of the Sampling Theorem*

B. Roy Frieden
J. Opt. Soc. Am. 56(10) 1355-1362 (1966)

Space-variant system analysis of image motion*

Alexander A. Sawchuk
J. Opt. Soc. Am. 63(9) 1052-1063 (1973)

Multiplex holography for space-variant processing: a transfer function sampling approach

Rangachar Kasturi, Thomas F. Krile, and John F. Walkup
Appl. Opt. 20(5) 881-886 (1981)