Abstract

The mutual information between the radiance of an incoherently radiating object plane and the field at the aperture of an observing system is calculated on a classical basis. A formula of the Shannon type is obtained when the time–bandwidth product of the object light is large, the average radiance from the object plane is small enough to permit the threshold approximation, and the radiance of the object plane is modeled as a spatial gaussian process. It includes the dependence on the bandwidth of the object light and the effective temperature of the background, assumed spatially and temporally white. A set of sufficient statistics for the aperture field, based on Fourier sampling of the object plane, is introduced, and its bearing on the resolution of fine details of the object is brought out.

© 1970 Optical Society of America

Full Article  |  PDF Article
OSA Recommended Articles
Linear Restoration of Incoherently Radiating Objects

Carl W. Helstrom
J. Opt. Soc. Am. 62(3) 416-423 (1972)

Detection of Incoherent Objects by a Quantum-Limited Optical System*

Carl W. Helstrom
J. Opt. Soc. Am. 59(8) 924-936 (1969)

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 (2)

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 (88)

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