In this paper we define the convolution of functionals on abstract Wiener space and establish the relationship between the Fourier-Wiener transforms of each functional and the Fourier-Wiener transform ...
Comprehensive introduction to analysis of continuous and discrete-time signals and systems. Linear time-invariant systems, convolution; Fourier series representations of periodic signals; Continuous ...
Interesting Engineering on MSN
500 billion ops per second: China achieves 4-fold computing speed with new AI architecture
Chinese researchers have created a new computing architecture that boosts processing performance by nearly ...
As shown in the last subsection, kernel density estimates can be expressed as a submatrix of a certain convolution. The fast Fourier transform (FFT) is a computationally effective method for computing ...
The linear canonical transform (LCT) is a versatile integral transform that generalises classical transforms such as the Fourier, fractional Fourier, and Fresnel transforms. By utilising four ...
pJTC Convolutional techniques. (a) Comparison of spatial convolution, Fourier electrical convolution, and Fourier optical convolution in terms of computational complexity. (b) Schematic of a JTC, ...
A talk, The Unreasonable Effectiveness of the Fourier Transform, was presented by [Joshua Wise] at Teardown 2025 in June last year. Click-through for the notes or check out the video below the break ...
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