The convolution theorem in Section 8.4 is not correct. Multiplication of the DFTs of two signals results in the periodic/circular convolution of the two signals. This is why zero-padding is required ...

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 ...

Abstract: The offset linear canonical transform (OLCT) plays an important role in many fields of optics and signal processing. In this paper, we address the problem of signal filtering and ...

This project demonstrates discrete-time convolution using several approaches implemented in MATLAB. The goal of the project is to build an intuitive understanding of convolution in the time domain and ...

Abstract: In this paper, generalized representation theorems for acoustic wavefields in perturbed media are derived from convolution- and correlation-type reciprocity theorems. These theorems allow ...