A comparison of multi-frame blind deconvolution and speckle imaging energy spectrum signal-to-noise ratios

Details A comparison of multi-frame blind deconvolution and speckle imaging energy spectrum signal-to-noise ratios A comparison of multi-frame blind deconvolution and speckle imaging energy spectrum signal-to-noise ratios

Oct 2008

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2008spie.7108e..19m&link_type=abstract

Optics in Atmospheric Propagation and Adaptive Systems XI. Edited by Kohnle, Anton; Stein, Karin; Gonglewski, John D. Procee

Physics

Optics

1

Scientific paper

An analytical signal-to-noise ratio (SNR) expression is derived for unbiased estimates of energy spectra obtained using multi-frame blind deconvolution (MFBD) algorithms. Because an analytical variance expression cannot, in general, be derived, Cramér-Rao lower bounds are used in place of the variances. As a result, the SNR expression provides upper bounds to the achievable SNRs that are independent of the MFBD algorithm implementation. The SNR expression is evaluated for the scenario of ground-based imaging of astronomical objects. It is shown that MFBD energy-spectrum SNRs are usually greater, and often much greater, than their corresponding speckle imaging (SI) energy-spectrum SNRs at all spatial frequencies. One reason for this SNR disparity is that SI energy spectrum SNRs are proportional to the object energy spectrum and the ensemble-averaged atmosphere energy spectrum, while MFBD SNRs are approximately proportional to the square root of these quantities. Another reason for this SNR disparity is that single-frame SI energy-spectrum SNRs are limited above by one, while the MFBD energy-spectrum SNRs are not.

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