Abstract

We develop a probabilistic approach to the problem of signal recovery from noisy data. In particular, in constructing the approximation, we introduce a truncation method that is related to an order–disorder transition point of the Fourier coefficients of the data. Through a statistical method we show how to determine this truncation point without using any prior information.

© 1993 Optical Society of America

Full Article  |  PDF Article
Related Articles
Ill-posedness and precision in object-field reconstruction problems

William L. Root
J. Opt. Soc. Am. A 4(1) 171-179 (1987)

Instabilities in the optimal regularization parameter relating to image recovery problems

John W. Hilgers and William R. Reynolds
J. Opt. Soc. Am. A 9(8) 1273-1279 (1992)

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 (5)

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 (40)

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