Learn how to use convolution and integral transforms to model and analyze linear systems and filters in functional analysis with examples.

Firstly, based on the definition of linear convolution, we make comments and also propose a so-called tabulation method for it. Then we establish a relationship between the circular convolution and ...

The convolution code is written on own and libraries are used for the FFT computation. The speedup is documented using TIC TOC. The errors between circular convolution using FFTs and linear ...

Convolution Quadrature: A numerical technique that discretises convolution integrals by utilising the Laplace transform, thus permitting stable and accurate time-stepping in wave propagation problems.

The nonlinear partial differential equation is discretized in space using the discrete singular convolution (DSC) scheme and an exponential time integration scheme combined with the best rational ...

For any linear and time-invariant system, its output is the linear convolution between the variable input sequence and the constant system impulse response. When the input is long and the system ...