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 fractional Fourier transform (FRFT), which is a generalization of the Fourier transform (FT), has emerged as a very efficient mathematical tool for signals which are having ...

This series is excerpted from “Digital Signal Processing: Instant Access.” Order this book today and receive an additional 20% discount. Click here www.elsevierdirect.com and be sure to type in 92836.

Abstract: A novel algorithm based on fractional Fourier circular convolution theorem is proposed to deal with the fractional linear convolution, which is in accordance with the hidden periodicity of ...

A mathematical theorem stating that a PERIODIC function f(x) which is reasonably continuous may be expressed as the sum of a series of sine or cosine terms (called the Fourier series), each of which ...

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 ...

This repo is the official PyTorch implementation of FCBNet proposed by our paper "Improving Convolutional Neural Networks with Fourier Convolution Block (to be released)". Convolutional Neural ...