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

Imaging sampling below the Nyquist density without aliasing

Not Accessible

Your library or personal account may give you access

Abstract

For multidimensional band-limited functions, the Nyquist density is defined as that density corresponding to maximally packed spectral replications. Because of the shape of the support of the spectrum, however, sampling multidimensional functions at Nyquist densities can leave gaps among these replications. In this paper we show that, when such gaps exist, the image samples can periodically be deleted or decimated without information loss. The result is an overall lower sampling density. Recovery of the decimated samples by the remaining samples is a linear interpolation process. The interpolation kernels can generally be obtained in closed form. The interpolation noise level resulting from noisy data is related to the decimation geometry. The greater the clustering of the decimated samples, the higher the interpolation noise level is.

© 1990 Optical Society of America

Full Article  |  PDF Article
More Like This
Multidimensional-signal sample dependency at Nyquist densities

Robert J. Marks
J. Opt. Soc. Am. A 3(2) 268-273 (1986)

Sampling below the Nyquist density using spectral subtiles

Robert J. Marks
J. Opt. Soc. Am. A 36(8) 1322-1332 (2019)

Long-reach SSB-OFDM-PON Employing Fractional Sampling and Super-Nyquist Image Induced Aliasing

Changjian Guo, Jiawei Liang, and Rong Li
J. Opt. Commun. Netw. 7(12) 1120-1125 (2015)

References

You do not have subscription access to this journal. Citation lists with outbound citation 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

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 (19)

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 (123)

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

Metrics

Select as filters


Select Topics Cancel
© Copyright 2022 | Optica Publishing Group. All Rights Reserved