Open AccessTwo-frame algorithm to design quadrature filters in phase shifting interferometry
Author(s) -
J. F. Mosiño,
Juan C. Gutiérrez-García,
Tania A. Gutiérrez-García,
J. M. Macías-Preza
Publication year - 2010
Publication title -
optics express
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.394
H-Index - 271
ISSN - 1094-4087
DOI - 10.1364/oe.18.024405
Subject(s) - quadrature mirror filter , quadrature (astronomy) , interferometry , prototype filter , computer science , algorithm , clenshaw–curtis quadrature , frame (networking) , adaptive quadrature , filter (signal processing) , optics , filter design , mathematics , gaussian quadrature , physics , nyström method , control theory (sociology) , computer vision , integral equation , artificial intelligence , telecommunications , mathematical analysis , control (management)
The main purpose of this paper is to present a method to design tunable quadrature filters in phase shifting interferometry. From a general tunable two-frame algorithm introduced, a set of individual filters corresponding to each quadrature conditions of the filter is obtained. Then, through a convolution algorithm of this set of filters the desired symmetric quadrature filter is recovered. Finally, the method is applied to obtain several tunable filters, like four and five-frame algorithms.