Electrical Engineering Stack Exchange
Electrical Engineering Stack Exchange

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.

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.

See also Wikipedia on convolution.

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How to implement a self tuning PID-like Controller

I am trying to write a micro-controller program for controlling temperature in a system with the following characteristics: output can only be On or Off, with fixed cycle frequencies (~2-10 per hour) The plant is slow to respond (measurable changes…
MandoMando
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Convolution perfomed by an analog circuit

As a Electronic Engineering student I have a fair knowledge about convolution and DSP. But, I was wondering if it is possible to perform a convolution only using analog circuit (without memory)? And if it is possible, what would be the…
Ernesto Rocha
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The term Feed-forward and its meaning?

I am trying to understand the technical meaning of the term 'feed-forward', when and where it can be used and where it cannot be used? I have seen this term in various different areas. For example: Vector Field oriented of AC Motors Convolutional…
alt-rose
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Using impulse response to control the system

This post by Olin Lathrop is rather inspiring. The system response is the convolution of the control input with this impulse response, computed every control sample, which is every 500 ms in this example. To make control system out of this you…
miceuz
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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 math expression is concerned, both are somehow…
LECS
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Square wave autocorrelation integral

Given the following square wave signal g(t) : I'm trying to find the \$R(\tau)\$ of this signal, but I'm confused about how to solve the integral. In the signal above, the red square wave is the shifted signal \$g(t-\tau)\$. I understand the…
Yannick
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Checking whether a system is linear or non-linear

Consider this system equation where x(t) = input $$y(t)=x(t) \cos(3t)$$ Using the superposition theorem, we can prove that the system is linear. For input x1(t), the output is $$y_1(t)=x_1(t) \cos(3t)$$ For input x2(t), the output is $$y_2(t)=x_2(t)…
Ajay shifu
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How to find the steady-state response from the impulse response

If we have an impulse response of a circuit which is u(t) and if one has the input and wants to find the output, we use convolution of the input and the impulse response to find the output, that is to my knowledge the use of convolution. If one…
user29568
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Termination of a convolutional encoder vs. state register reset

Usually, when designing a convolutional encoder for a transmitter, some sort of termination mechanism is applied to drive the encoder back to its zero-state after a message was transmitted. This is often done by appending a tail sequence to the…
andrsmllr
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How to handle delta function after finding the impulse response?

I am pretending that laplace does not exist because I am being tested on these concepts separately. Essentially, I have solved for the step response of a first order circuit and found it to…
amateurhour
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(Convolution Integral): What does it mean to have an impulse response before t=0?

Context: I am currently learning about convolution integrals as they apply to circuits (LTI specifically, if I understand it correctly. (For the following, continue under the assumption that \$\theta(t-c)\$ is always used as the Heaviside step…
SerasVita
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General question about convolution and Fourier

I'm working on a system that includes a bunch of elements and I arrived at the following general expression for the output: $$\mathcal{F}\left\{ T\cdot\left(\left[T\cdot\mathcal{F}\left\{ E_{1}\right\} \right]* h\right)\right\} $$ where \$…
FlyGuy
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Convolution integral with step function

for the following convolution integral $$ \int_{-\infty }^{\infty}\sigma (\tau)\tau A\sigma(t-\tau)\sin(t-\tau)d\tau \text,$$ where \$\sigma(t)\$ denotes the step function We'll only get results for \$t>0\$, since thats when \$\sigma(t)\$ will…
Pilotf4
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Why convolution in time domain is multiplication in frequency domain?

I am trying to understand intuitively why convolution is multiplication in frequency domain. I started at the mathematical derivation of this, but didn't understand what is happening intuitively. This question may seem very easy for someone or very…
Omibuddyy
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Change of variable from t to \$\tau\$ during convolution

I am not able to understand that in the standard convolution formula how we can change the variable from t to \$\tau\$. $$\int{x(\tau)\cdot h(t-\tau)d\tau }$$ Isn't this incorrect mathematically?
Siddharth
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