Apply Fractional Fourier to Separate Two-dimensional Mixed-fringe Patterns

• Main Authors: LIN,TZU-YAO, 林子堯
• Other Authors: CHANG,HSUAN-TING
• Format: Others
• Language: zh-TW
• Published: 2017
• Online Access: http://ndltd.ncl.edu.tw/handle/u59qyy

碩士 === 國立雲林科技大學 === 電機工程系 === 105 === In this thesis, the method for mixed signal separation based on the fractional Fourier transform (FrFT) analysis is proposed. Consider the two-dimensional (2-D) Gaussian mixed-fringe patterns. We propose that method that can analyze the parameters of each separated signals by using the fractional Fourier transform due to the observed higher sparsity in the frequency domain. First, we review the properties of the 2-D fringe patterns and the theory of FrFT. By searching the spectral intensities of all the possible fractional orders in the FrFT of the mixed signals, the proposed method can successfully separate the signal one by one. In addition to the number of the mixed signals, the central position, phase, and the fringe width of each 2-D signal can be determined. In the computer simulation, the various numbers and mixed fringe patterns are used to test the proposed method. We found that the simulation results verify the effectiveness of the proposed method.