Abstract: In this paper, we present a novel convolution theorem which encompasses the well known convolution theorem in (graph) signal processing as well as the one related to time-varying filters.

In modern technology, design of devices with the capability of shaping the electromagnetic (EM) waves is rapidly progressing. Understandably, as far as the far field is concerned, metasurface ...

This is my coursework project for 2023 autumn semester at BSUIR. The project is to study the differences in speed of large convolutions with and without Fourier transform (based on the convolution ...

Convolution is a remarkable property of the Fourier transform, often cited in the literature as the “faltung theorem”. Convolution is a remarkable property of the Fourier transform, often cited in the ...

Convolution is a mathematical operation that combines two signals to produce a third signal. It can be seen as a way of applying a filter or a system to an input signal to get an output signal. For ...