RT Journal Article T1 Design of asynchronous phase detection algorithms optimized for wide frequency response A1 Quiroga Mellado, Juan Antonio A1 Crespo Vázquez, Daniel A1 Gómez Pedrero, José Antonio AB In many fringe pattern processing applications the local phase has to be obtained from a sinusoidal irradiance signal with unknown local frequency. This process is called asynchronous phase demodulation. Existing algorithms for asynchronous phase detection, or asynchronous algorithms, have been designed to yield no algebraic error in the recovered value of the phase for any signal frequency. However, each asynchronous algorithm has a characteristic frequency response curve. Existing asynchronous algorithms present a range of frequencies with low response, reaching zero for particular values of the signal frequency. For real noisy signals, low response implies a low signal-to-noise ratio in the recovered phase and therefore unreliable results. We present a new Fourier-based methodology for designing asynchronous algorithms with any user-defined frequency response curve and known limit of algebraic error. We show how asynchronous algorithms designed with this method can have better properties for real conditions of noise and signal frequency variation. PB The Optical Society of America SN 0003-6935 YR 2010 FD 2010-06-10 LK https://hdl.handle.net/20.500.14352/43985 UL https://hdl.handle.net/20.500.14352/43985 LA eng NO © 2006 Optical Society of America.We acknowledge Spain’s Ministerio de Ciencia y Tecnologia for providing economic support for this work under the auspices of project DP12002-02104. NO Spain’s Ministerio de Ciencia y Tecnología DS Docta Complutense RD 5 abr 2025