Quan Thai Ha, Lai Tien Minh, Nguyen Minh Tuan

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Abstract: This paper presents the convolution for the offset linear canonical transform (OLCT) with the Gaussian weight and its applications. The product theorem is also studied. In applications, some ways to design the filters in the OLCT domain as well as the multiplicative filter and the Gaussian filter are introduced.

Keywords: Reconstruction, Shannon theorem, convolution, filter, signal, offset linear canonical transform, fractional Fourier transform, Fourier transform.

Keywords: reconstruction; Shannon theorem; convolution; filter; signal; offset linear canonical transform; fractional Fourier transform; Fourier transform.