Fourier spectrum extrapolation and enhancement using support constraints

Charles L. Matson

doi:10.1117/12.139037

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29 December 1992 Fourier spectrum extrapolation and enhancement using support constraints

Charles L. Matson

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Proceedings Volume 1767, Inverse Problems in Scattering and Imaging; (1992) https://doi.org/10.1117/12.139037
Event: San Diego '92, 1992, San Diego, CA, United States

Abstract

The use of support constraints for improving the quality of Fourier spectra estimates is discussed in this paper. It is shown that superresolution is an additive phenomena which is a function of the correlation scale induced by the support constraint and is independent of the bandwidth of the measured Fourier spectrum. It is also shown for power spectra that support constraints, due to the enforced correlation of power spectra, reduce the variance of measured power spectra. These theoretical results are validated via computer simulation in the area of speckle interferometry, with very good agreement shown between theory and simulation.

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Charles L. Matson "Fourier spectrum extrapolation and enhancement using support constraints", Proc. SPIE 1767, Inverse Problems in Scattering and Imaging, (29 December 1992); https://doi.org/10.1117/12.139037

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