Irish Research CouncilIrish Research Council for Science, Engineering and Technology; Fundamental Research Funds for the Central University [20205170443]
机构署名:
本校为其他机构
院系归属:
国家数字化学习工程技术研究中心
摘要:
The linear canonical transforms (LCTs) are a Lie group of transforms including the Fresnel and Fourier transforms that describe scalar wave propagation in quadratic phase systems. As such, they are useful in system analysis and design, and their discretisations are important for opto-numerical systems, e.g. numerical reconstruction algorithms in digital holography. An important topic in the literature is therefore the generalization of Fourier transform properties for the LCTs. A number of authors have proposed convolution theorems for the linear canonical transform, with different goals in mi...