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

Charles L. Matson

doi:10.1117/12.801240

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9 October 2008 A comparison of multi-frame blind deconvolution and speckle imaging energy spectrum signal-to-noise ratios

Charles L. Matson

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Proceedings Volume 7108, Optics in Atmospheric Propagation and Adaptive Systems XI; 71080N (2008) https://doi.org/10.1117/12.801240
Event: SPIE Remote Sensing, 2008, Cardiff, Wales, United Kingdom

Abstract

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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Charles L. Matson "A comparison of multi-frame blind deconvolution and speckle imaging energy spectrum signal-to-noise ratios", Proc. SPIE 7108, Optics in Atmospheric Propagation and Adaptive Systems XI, 71080N (9 October 2008); https://doi.org/10.1117/12.801240

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