Abstract: 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 ...

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 the ...

Repeated convolution and truncation of a truncated fat-tailed distribution, instead of Monte Carlo simulation, for pricing a discrete, simple barrier option is presented. The parameters for the ...

Producer responsibility organization Circular Action Alliance is busy at work helping industries comply with extended producer responsibility laws in states from California to Maryland. In this Q&A, ...

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 ...

I'm currently studying the details of CVNN implementations, referencing literature such as the comprehensive survey "Complex-Valued Neural Networks: A Comprehensive Survey" by Lee et al. (2022). Based ...

The Nature Index 2025 Research Leaders — previously known as Annual Tables — reveal the leading institutions and countries/territories in the natural and health sciences, according to their output in ...

A windowed sinc function can implement a low-pass filter, and a two-dimensional convolutional filter can blur or sharpen images. In part 3 of this series, we introduced a low-pass filter based on the ...

Convolution is used in a variety of signal-processing applications, including time-domain-waveform filtering. In a recent series on the inverse fast Fourier transform (FFT), we concluded with a ...

Event-based cameras are bio-inspired vision sensors that mimic the sparse and asynchronous activation of the animal retina, offering advantages such as low latency and low computational load in ...