How Do You Know When to Use Multiplication Vs. Addition

dexel_uni

difference between convolution and multiplication

Hey,
I could not able to find the deviation between convolution and multiplication.
Delight clear the concept.

drabos

divergence between multiplication and convolution

The difference is huge. Convolution is an integral (in detached a sum), you lot can find in every basic excursion volume, systen book or maths volume, convolution is useful in probability theory, equally well.
Tha basic rule: in fourth dimension domain convolution equals with multiplication in frequency domain.

Added after 4 minutes:

Some basic information here:
https://en.wikipedia.org/wiki/Convolution

harsha_jois

convolution vs multiplication

Hi
Convolution is indeed integration
But permit me put information technology this fashion. Convolution is an add-on of products of one constant and in one case varying entity.

Added later on 33 seconds:

Hi
Convolution is indeed integration
But let me put it this mode. Convolution is an addition of products of one constant and one fourth dimension varying entity.

goosecool

convolution multiplication

multiplication is usual multiplication i constant times some other, convolution is polynomial multiplication which is multiplying 2 polynomials.

vjfaisal

convolution multiplication different

hi

question to all........

Q: As in continous time impulse response has the amplitude equals to infinity, if we want to plot the convolution of this continous time impulse response with any of input indicate 10, in plot.......the problem will occur........

Please illustrate your answer ....if it is possible to plot in Matlab, with diagram, and if non possible , please give its reason with detail........

if anyone knows Matlab , please help me in this problem..immmediatly

regards

kastantin

convolution equal dirac

distressing
how had tell u that the impulse respose has infint aamplitude, the impulse of dirac has this property

goosecool

multiplication and convolution

I think y'all are completely confused .. there are continuous signals and discrete signals, then there are systems with finite or infinite impulse resonse. infinite impulse response does non hateful infinite amplitude, it means that a sure arrangement has an space response to an impulse.

now since y'all are trying to convolve x (which is usually the notation for a sampled betoken; x(t) is a continuous signal) with an space duration betoken, theoretically, you can do it. Even in matlab you can do information technology, but this would crave you to sit down in front of the plot, or crave increasingly powerful computer, forever!

Now regarding convolution. I am certain that y'all have a polynomial expression which defines your impulse response. Also it will definitely accept uncanceled poles.
The space impulse response organization that y'all have tin exist of 3 types, converging, diverging and oscilatory. A diverging system is unstable and no realizable system should be like that. That leaves you with two scenarios; converging and oscilatory. An oscilatory organization would keep on giving out the same output periodically so you will become the thought of how the outputis going to be. Lastly a convergent system, which is probably what you lot have, will give an output forever but the output signal after some fourth dimension will be so small that yous can neglect it for all practical purposes.

And so determine a certain time duration for your output and stop the convolution after that point. This should give you lot a crude but sufficiently authentic response of your organization to the input x. I promise this helps.

Dmitrij

multiplication convolution wiki

No doubt, convolution and multiplication are different concerning their nature and physical and mathematical senses. All the distinguishing differences are underlined in the previous replies.

However one coincedence exists. If you evaluate the linear (don't confuse information technology with circular convolution, which arises in DFT calculating procedure) convolution of 2 discrete-fourth dimension sequences you'll find out that the final result is the same as if yous accept multiplied 2 polynomials with coefficients, equal to sequences' samples. But it's the coincedence, null more. The sense of these 2 operations is quite dissimilar.

With respect,

Dmitrij

vjfaisal

convulation - multiplication

hi every one,

ya i make error..in wrting the complete judgement..i capeesh for ur correction...

i mean the same ,what u have gauge.."the dirac impulse", in continuse time...accept its Amplitude , touches to infinity...am i correct or not ???

Q: my question is , i have the train of continous( dirac) impulses, and i want to convove it with x(t) and x?

i which case it is possible to plot in MAtlab ,with 10 or x(t)??????????

regards

goosecool

unit impulse multiplication

No doubt, convolution and multiplication are different concerning their nature and physical and mathematical senses. All the distinguishing differences are underlined in the previous replies.
All the same one coincedence exists. If y'all evaluate the linear (don't confuse it with circular convolution, which arises in DFT computing procedure) convolution of 2 detached-time sequences you lot'll find out that the terminal result is the same every bit if you have multiplied 2 polynomials with coefficients, equal to sequences' samples. But it's the coincedence, nil more. The sense of these 2 operations is quite different.

With respect,

Dmitrij

I would like to differ hither, if a sequence is written in its difference class so there is a one to i mapping between this difference equation and its z transform, z^-1 corresponds to a filibuster by one, if you lot extend it to the unabridged sequence then convolution does go a polynomial multiplication. So I'd say that instead of a coincidence its more than a ramification of z transform.

Added after 6 minutes:

hi every one,
ya i make mistake..in wrting the complete sentence..i appreciate for ur correction...

i mean the same ,what u take judge.."the dirac impulse", in continuse time...have its Amplitude , touches to infinity...am i right or not ???

Q: my question is , i have the railroad train of continous( dirac) impulses, and i want to convove it with x(t) and 10?

i which case information technology is possible to plot in MAtlab ,with ten or x(t)??????????

regards

dirac impulse usually has an amplitude of 1 as far as i know. having said that, if you lot desire to convolve this continuous pulse railroad train at that place is absolutely no way to practise this in continuous domain, because the moment you lot effort to measure out it, information technology becomes digitized or sampled. even matlab or any mod oscilloscope volition mensurate in digital domain.
now keeping with the convention x is detached, create a discrete dirac impulse train and then convolve information technology with discrete x.

How Do You Know When to Use Multiplication Vs. Addition

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Difference between convolution and multiplication.

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