A sampling theorem applicable to that class of linear systems characterized by sufficiently slowly varying linespread 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 by the Optical Society of America
Robert J. Marks II, John F. Walkup, and Marion O. Hagler, "A sampling theorem for space-variant systems," J. Opt. Soc. Am. 66, 918-921 (1976)