Fourier spectrum extrapolation and enhancement using support constraints

Author

Matson, Charles L.

Author_Institution

Phillips Lab., Kirtland, NM, USA

Volume

42

Issue

1

fYear

1994

fDate

1/1/1994 12:00:00 AM

Firstpage

156

Lastpage

163

Abstract

The use of support constraints for improving the quality of Fourier spectra estimates is discussed. It is shown that superresolution is an additive phenomenon that is a function of the correlation scale induced by the support constraint, and it 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

Keywords

Fourier transforms; electromagnetic wave interferometry; extrapolation; speckle; spectral analysis; Fourier spectra estimates; Fourier spectrum enhancement; Fourier spectrum extrapolation; bandwidth; computer simulation; correlation scale; measured Fourier spectrum; power spectra; speckle interferometry; superresolution; support constraints; Bandwidth; Computational modeling; Computer simulation; Deconvolution; Extrapolation; Interferometry; Noise level; Power measurement; Signal resolution; Speckle;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.258130

Filename

258130