Bayesian Analysis Of Signals From Closely-Spaced Objects

G. Larry Bretthorst; C. Ray Smith

doi:10.1117/12.951434

30 June 1989 Bayesian Analysis Of Signals From Closely-Spaced Objects

G. Larry Bretthorst, C. Ray Smith

Proceedings Volume 1050, Infrared Systems and Components III; (1989) https://doi.org/10.1117/12.951434
Event: OE/LASE '89, 1989, Los Angeles, CA, United States

Abstract

Bayesian probability theory is applied to the problem of the resolution of closely-spaced objects. The conditions assumed are: point sources, observed through a known smearing function (i.e., point-spread function). For this demonstration we use a Gaussian smearing function so that we can obtain analytic results; however, we present graphical results for both the Gaussian and the Airy smearing functions. The generalizations to arbitrary smearing functions may be found in other works by Bretthorst. The results obtained for one and two point sources indicate explicitly the dependence of resolution on signal-to-noise and on the smearing function.

Citation Download Citation

G. Larry Bretthorst and C. Ray Smith "Bayesian Analysis Of Signals From Closely-Spaced Objects", Proc. SPIE 1050, Infrared Systems and Components III, (30 June 1989); https://doi.org/10.1117/12.951434

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