Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

A generalized sampling theorem with application to computer-generated transparencies

Not Accessible

Your library or personal account may give you access

Abstract

A set of generalized Dirac functions (Δ functions) is introduced which resemble the Dirac function (δ function) in that their masses equal unity. Different members out of this set are determined by different values of a certain parameter. The sampling theorem—which tells us that a band-limited function can be synthesized by a proper low-pass filtering of a sequence of equidistant δ functions having variable masses, these masses being equal to the corresponding sample values of the band-limited function—no longer holds, if the practically unrealizable δ functions are replaced by realized Δ functions. It must be replaced by a generalized sampling theorem, which tells us what relationship exists between the parameters of the Δ functions and the sample values of the function to be generated at the ouput of the low-pass filter. Once a set of Δ functions has been chosen, this relationship can be determined explicitly. An application to the synthesis of coherent optical fields by means of computer-generated transparencies is given.

© 1977 Optical Society of America

Full Article  |  PDF Article
More Like This
A generalized sampling theorem with application to computer-generated transparencies*

Martin J. Bastiaans
J. Opt. Soc. Am. 68(12) 1658-1665 (1978)

Sampling theorems in polar coordinates

Henry Stark
J. Opt. Soc. Am. 69(11) 1519-1525 (1979)

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (4)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Tables (1)

You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (49)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved