Fourier spectrum extrapolation and enhancement using support constraints

Fourier spectrum extrapolation and enhancement using support constraints

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...

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Veröffentlicht in:IEEE transactions on signal processing 1994-01, Vol.42 (1), p.156-163
1. Verfasser: Matson, C.L.
Format: Artikel
Sprache:eng
Schlagworte:
Applied sciences
Bandwidth
Computational modeling
Computer simulation
Deconvolution
Exact sciences and technology
Extrapolation
Information, signal and communications theory
Interferometry
Noise level
Power measurement
Signal and communications theory
Signal representation. Spectral analysis
Signal resolution
Signal, noise
Speckle
Telecommunications and information theory
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Zusammenfassung: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.< >
ISSN:1053-587X
1941-0476
DOI:10.1109/78.258130