Question

Convolution using Integral Transforms

score 104 · Answer 1 · 2026-03-25 14:18:36

104

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Convolution using Integral Transforms

Published on 25 Mar 2026 - 14:18

score 95 · Answer 2 · 2026-03-25 06:01:17

95

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Given input signal $s$ and convolution kernel $a$, find the corresponding convolution matrix and the output signal

Published on 25 Mar 2026 - 6:01

score 78 · Answer 3 · 2026-03-26 04:36:27

78

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What would be the dimensions of on output matrix for the convolution of a $6\times 6\times 3$ input image and a $3\times3\times3$ kernel?

Published on 26 Mar 2026 - 4:36

score 207 · Answer 4 · 2026-03-26 14:22:51

207

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If $G$ is a locally compact group equipped with a Haar measure, then $L^{1}(G)$ is a Banach algebra with the convolution as the product operation.

Published on 26 Mar 2026 - 14:22

score 174 · Answer 5 · 2020-07-10 08:40:27

174

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Convolution - Heaviside

Published on 10 Jul 2020 - 8:40

score 211 · Answer 6 · 2020-07-12 17:59:03

211

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Difference in bounds of convolution integral

Published on 12 Jul 2020 - 17:59

score 42 · Answer 7 · 2020-07-15 01:52:10

42

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correlation operation written using the convolution operator: h(-w) * R(w)

Published on 15 Jul 2020 - 1:52

score 676 · Answer 8 · 2020-07-21 13:59:28

676

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Convolution: Integral vs. Discrete sum

Published on 21 Jul 2020 - 13:59

score 1.1k · Answer 9 · 2026-03-28 06:00:31

1.1k

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Simplify $y(t)=e^{-t}u(t) * \sum_{k=-\infty}^{\infty}\delta(t-3k)$ in the form of $y(t)=Ae^{-t}$ for $0\le t<3$

Published on 28 Mar 2026 - 6:00

score 676 · Answer 10 · 2026-03-26 07:55:15

676

Views

Gradient of 2D convolution

Published on 26 Mar 2026 - 7:55

score 198 · Answer 11 · 2026-03-25 17:39:32

198

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Sweedler Notation: $\eta\epsilon$ is the identity element of the convolution product

Published on 25 Mar 2026 - 17:39

score 1.7k · Answer 12 · 2026-03-25 23:36:51

1.7k

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Approximation of $L^p$ functions by convolution of approximate identities

Published on 25 Mar 2026 - 23:36

score 253 · Answer 13 · 2026-03-28 11:53:44

253

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The norm of Bessel potentials

Published on 28 Mar 2026 - 11:53

score 45 · Answer 14 · 2026-03-27 21:23:03

45

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Smooth approximation: Does the position of the "middle value" remain the same?

Published on 27 Mar 2026 - 21:23

score 150 · Answer 15 · 2026-03-28 07:42:59

150

Views

Interpret convolutions with different arguments. For example, $f(t) * \delta(t-\alpha)=f(t-\alpha)$

Published on 28 Mar 2026 - 7:42

List Question

Convolution using Integral Transforms

Given input signal $s$ and convolution kernel $a$, find the corresponding convolution matrix and the output signal

What would be the dimensions of on output matrix for the convolution of a $6\times 6\times 3$ input image and a $3\times3\times3$ kernel?

If $G$ is a locally compact group equipped with a Haar measure, then $L^{1}(G)$ is a Banach algebra with the convolution as the product operation.

Convolution - Heaviside

Difference in bounds of convolution integral

correlation operation written using the convolution operator: h(-w) * R(w)

Convolution: Integral vs. Discrete sum

Simplify $y(t)=e^{-t}u(t) * \sum_{k=-\infty}^{\infty}\delta(t-3k)$ in the form of $y(t)=Ae^{-t}$ for $0\le t<3$

Gradient of 2D convolution

Sweedler Notation: $\eta\epsilon$ is the identity element of the convolution product

Approximation of $L^p$ functions by convolution of approximate identities

The norm of Bessel potentials

Smooth approximation: Does the position of the "middle value" remain the same?

Interpret convolutions with different arguments. For example, $f(t) * \delta(t-\alpha)=f(t-\alpha)$

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