title: Basic Fourier properties for generalized phase shifting and some interesting detuning insensitive algorithms.
abstract: In this manuscript, some interesting properties for generalized or nonuniform phase-shifting algorithms are shown in the Fourier frequency space. A procedure to find algorithms with equal amplitudes for their sampling function transforms is described. We also consider in this procedure the finding of algorithms that are orthogonal for all possible values in the frequency space. This last kind of algorithms should closely satisfy the first order detuning insensitive condition. The procedure consists of the minimization of functionals associated with the desired insensitivity conditions.
authors.affiliation: Centro de Investigaciones en Óptica, A.C., Loma del Bosque 115, Colonia Lomas del Campestre, C.P. 37150, León, Guanajuato, Mexico. alejandroteq@cio.mx
authors.forename: Alejandro
authors.initials: A
authors.lastname: Téllez-Quiñones
authors.forename: Daniel
authors.initials: D
authors.lastname: Malacara-Doblado
authors.forename: Jorge
authors.initials: J
authors.lastname: García-Márquez