Method for continuing Fourier spectra given by the fast Fourier transform
- 1 January 1981
- journal article
- Published by Optica Publishing Group in Journal of the Optical Society of America
- Vol. 71 (1) , 95-98
- https://doi.org/10.1364/josa.71.000095
Abstract
A new method for continuing the Fourier spectrum of data of finite extent has been developed. Almost perfect restoration was obtained for noise-free data. Much improved resolution was obtained for error-laden data. Many forms of peak data lend themselves easily to the application of additional constraints that further enhance resolution almost to the theoretical limit.Keywords
This publication has 8 references indexed in Scilit:
- Super-resolution through Error Energy ReductionOptica Acta: International Journal of Optics, 1974
- Resolution Enhancement of Spectra*Journal of the Optical Society of America, 1970
- Object Restoration in a Diffraction-Limited Imaging System*Journal of the Optical Society of America, 1966
- Image Evaluation and Restoration*†Journal of the Optical Society of America, 1966
- An algorithm for the machine calculation of complex Fourier seriesMathematics of Computation, 1965
- Enhancing the angular resolution of incoherent sourcesRadio and Electronic Engineer, 1965
- Diffraction and Resolving Power*Journal of the Optical Society of America, 1964
- Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - IBell System Technical Journal, 1961