title: Generalized phase-shifting algorithms: error analysis and minimization of noise propagation.
abstract: Phase shifting is a technique for phase retrieval that requires a series of intensity measurements with certain phase steps. The purpose of the present work is threefold: first we present a new method for generating general phase-shifting algorithms with arbitrarily spaced phase steps. Second, we study the conditions for which the phase-retrieval error due to phase-shift miscalibration can be minimized. Third, we study the phase extraction from interferograms with additive random noise, and deduce the conditions to be satisfied for minimizing the phase-retrieval error. Algorithms with unevenly spaced phase steps are discussed under linear phase-shift errors and additive Gaussian noise, and simulations are presented.
authors.forename: Gastón A
authors.initials: GA
authors.lastname: Ayubi
authors.forename: César D
authors.initials: CD
authors.lastname: Perciante
authors.forename: J Matías
authors.initials: JM
authors.lastname: Di Martino
authors.forename: Jorge L
authors.initials: JL
authors.lastname: Flores
authors.forename: José A
authors.initials: JA
authors.lastname: Ferrari