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.

A simple C++ example of performing a one-dimensional discrete convolution of real vectors using the Fast Fourier Transform (FFT) as implemented in the FFTW 3 library. This code is a simple and direct ...

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 ...

Convolutional Neural Network (CNN) is a popular, cutting-edge deep learning approach to computer vision that has a wide range of applications in domains where data may be represented by ...

ABSTRACT: The quaternion linear canonical transform (QLCT) is defined in this paper, with proofs given for its reversibility property, its linear property, its odd-even invariant property and ...