Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Superresolution of Fourier transform spectra by autoregressive model fitting with singular value decomposition

Not Accessible

Your library or personal account may give you access

Abstract

Autoregressive model fitting with singular value decomposition is applied to the interferogram data measured by a Fourier transform spectrometer to estimate superresolving spectra. The interferogram data matrix is decomposed into singular values with eigenvectors and its generalized inverse matrix is used for estimating the coefficients of the autoregressive model. This method suppresses the noise component in the data and avoids the risk of producing spurious peaks, which were the problem inherent in our earlier work using the maximum entropy method [ Appl. Opt. 22, 3593 ( 1983)]. The experimental results of superresolving spectral estimation are shown with the data of a visible emission spectrum and infrared absorption spectra.

© 1985 Optical Society of America

Full Article  |  PDF Article
More Like This
Autoregressive superresolution microelectromechanical systems Fourier transform spectrometer

Islam Samir, Yasser M. Sabry, Alaa Fathy, Amr O. Ghoname, Niveen Badra, and Diaa A. Khalil
Appl. Opt. 58(25) 6784-6790 (2019)

Superresolution of Fourier transform spectroscopy data by the maximum entropy method

S. Kawata, K. Minami, and S. Minami
Appl. Opt. 22(22) 3593-3598 (1983)

Propane spectral resolution enhancement by the maximum entropy method

N. L. Bonavito, K. C. Yeh, K. P. Stewart, R. Inguva, and E. J. Hurley
Appl. Opt. 29(13) 1919-1923 (1990)

References

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (5)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (23)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Metrics

Select as filters


Select Topics Cancel
© Copyright 2022 | Optica Publishing Group. All Rights Reserved