Application of two-dimensional warped discrete Fourier transform to nonlinear two-dimensional amplitude demodulation
Application of two-dimensional warped discrete Fourier transform to nonlinear two-dimensional amplitude demodulation
复制标题
二维扭曲离散傅里叶变换在非线性二维幅度解调中的应用
DOI：
10.1016/j.optcom.2022.127972
复制
发表时间：
2022
影响因子：
2.4
通讯作者：
Takeuchi Keitaro
中科院分区：
文献类型：
--
作者：
Wei Dong;Takeuchi Keitaro
介绍了一种新的非线性二维扭曲离散傅立叶变换(WDFT)幅度解调方法，该方法可以在特定的二维感兴趣区域上进行更高分辨率的测量。本研究中的具体应用解决了对变形马赫-曾德尔干涉仪采集的条纹波场进行非线性二维幅度解调的需要。该方法利用了WDFT可以获得非等距采样频谱的特性和傅立叶变换的对称性。因此，这种基于2D-WDFT的方法可以用来对二维干涉条纹波场的幅度进行非线性解调，从而获得高分辨率的局域条纹包络。本研究描述了基于二维WDFT的解调方案所提出的分析过程及其应用。利用变形马赫-曾德尔干涉仪对该方法进行了实验验证。成功的实验验证证明了该算法对于密集采样点位于包络中心部分的幅度解调的有效性。据作者所知，这是第一份关于二维非线性包络解调器的研究报告。
This study introduces a novel nonlinear two-dimensional (2D) warped discrete Fourier transform (WDFT) amplitude demodulation method that allows higher-resolution measurements on specific two-dimensional regions of interest. The specific application in this study addresses the need for the nonlinear 2D amplitude demodulation of fringe-wave fields acquired by a deformed Mach–Zehnder interferometer. The proposed method exploits the properties based on which the WDFT can obtain frequency spectra sampled at non-equidistant intervals and the symmetry of the Fourier transform. As a result, this 2D-WDFT-based method can be used to nonlinearly demodulate the amplitude of the 2D interference fringe wave field to obtain a high-resolution localized fringe envelope. This study describes the proposed analysis procedure and its application using this 2D WDFT-based demodulation scheme. Experimental verification of the proposed approach was conducted with the use of deformed Mach–Zehnder interferometry. The successful experimental validation proves the efficiency of the proposed algorithm for amplitude demodulation with dense sampling points located in the central part of the envelope. To the best of the authors’ knowledge, this is the first investigational report on a 2D nonlinear envelope demodulator.