Abstract

The basic theory and essential ideas of a new algorithm based on the minimum-negativity constraint for restoring the Fourier spectrum and improving resolution were set forth in an earlier paper. The method was proved to work for artificial noise-free data of 1024 data points. In the present paper the efficacy of the method will be demonstrated for an experimental data set of 32K data points in length (K = 1024). Further details of the new algorithm will be discussed. A brief comparison will be made between this method and some of the other popular methods for Fourier spectrum extrapolation. Also, a modification of the algorithm that will allow the computations to be implemented on a parallel-processing computer will be presented.

© 1988 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Continuation of discrete Fourier spectra using a minimum-negativity constraint

Samuel J. Howard
J. Opt. Soc. Am. 71(7) 819-824 (1981)

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 OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access OSA 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 OSA member, or as an authorized user of your institution.

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

Figures (9)

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

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

Equations (3)

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

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

Metrics

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

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