# Questions tagged [convolution]

Anything related to convolution, its properties and applications. Convolution is the mathematical operation which is used to model the time-domain I/O relationship of linear time-invariant initially-at-rest systems.

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### Implement a 5 Layered CNN for inference on Arduino

I'm working on a problem where we convert a 5 layered CNN which is capable of predicting the possibility of an epilepsy episode (yes or no), into a Spiking Neural Network (SNN), making it useful for ...
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### Inverse Laplace transform not giving correct result

How does one calculate the inverse Laplace transform of $V(s) = \frac{1}{(s+α)(s+β)}$? Laplace transform of function $$V(t) = \frac{1}{β-α}(e^{-αt} - e^{-βt})$$ is $$V(s) = \frac{1}{(s+α)(s+β)}$$...
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### Transfer function h(t) of a positive feedback system

I want to find the transfer function h(t) of the below positive feedback system. I came out till this. How can i get the inverse laplace of this function? say β = 1 and γ = 1.
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### convolution vs correlation?

Apparently this question looks better for DSP SE but I am posting it here to get answer in simple words for those EE graduates who didn't studied signal processing in undergrad. Apparently as far as ...
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### How to do convolution related problems? [duplicate]

I do not understand the concept of convolution. If possible could you please explain in layman terms so that I can solve this question. What is the h(t)?
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### Graphical CT Convolution

The question asks to compute the convolution of x(t) and h(t). While I know how to do this mathematically, using a combination of derivatives and integrals, I don't know how to convolve the two using ...
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### How to find the Nyquist rate

I have the following signals and their Fourier transforms: $x(t)$ and $r(t)$. The signals are limited such that $X(e^{j\omega}) = 0$ for $|\omega| > \Omega$ and $R(e^{j\omega}) = 0$ for \\$... 148 views

### Problem about the properties of convolution

I have a difficulty to understand the convolution integral itself. Can anyone please explain what are the differences between the following 3 convolutions? x(t)*h(t), x(-t)*h(t), x(-t)*h(-t). Thanks....
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I was wondering if anyone can provide a derivation of the continuous-time convolution integral $$y(t)=\int_{-\infty}^{\infty}x(\tau)h(t-\tau)d\tau$$ from the discrete-time convolution sum $$y[n]=\sum_{... 0 votes 2 answers 36 views ### Invertiblity of LTI System Can any one please explain me how the convolution of the following leads to delta(t). To convolve these to function i considered delta(t+T) as x(t) and delta(t-T) as the response. Then these two ... 2 votes 2 answers 378 views ### Analog circuit for multiplying in the frequency domain [duplicate] I have an idea I want to experiment with - doing boolean logic with analog (OFDM) signals. Each frequency component represents a different 'bit'. A key factor is performing the AND operation. I would ... 2 votes 3 answers 2k views ### Concept of convolution I am having trouble understanding the concept of convolution. I get the mathematical idea behind it. I am able to evaluate that the convolution of the following problem is$$f*g(t) = {0,\ \ t <= -... 528 views

### How to derive the solutions of the Differential Equations when using convolution?

I am currently learning convolution (which is not the easiest topic for sure). Just as by many fields in electronics also here are differential equations involved. With this (what I have seen until ... 