Introduction to LTI Systems

An explanation of how an LTI (Linear Time-Invariant) system is completely specified in terms of its impulse response, transfer function, or frequency response. The relationship between impulse response, transfer function, and frequency response is also explained.

[mohamedramadanmohamed]

Really you don't know how thankful i'm for you Professor Morrell.

[thomaslewis]

I learned this more than twenty years ago, and it still mostly confuses the hell out of me.
But if you plug the correct time functions into the convolution formula and follow the rules of integration, you can get the right answer. And, you can always check it with Laplace/inverse- Laplace transforms.
Having a clear intuitive understanding of what is going on, that is a whole different level of effort.

These straight-forward worked examples, will help, especially if you are new to convolution.

[DarrylMorrell]

If the output is the same as the input (y = x), then the system impulse response is a delta function and the system transfer function is 1.

[amandafalke]

Great work Professor Morrell! I wish you were my circuits teacher.

[GY]

Great videos ! Made me understand this subject a tad more than I previously did. Thanks !

[realmar]

This taught me as much as my 60 minute lecture on the same topic...

[hhorace]

And to think I looked stupid in class because of this. Thanks a great deal.

[mhsunny]

thanks for the video. Not many engineering video out there

[leocmen]

Very good vides Mr. Morrell, thanks a lot for posting that.

[bruninie]

So the impulse response is just the behaviour of an ouput when the input is given a big impulse?

[ngup]

omg this is such a clear video thanks a lot

[EdgarParedes.]

Thank you, this clarifies their relation.

[DarrylMorrell]

@squarepusher303 No, the relationship is the same. In my experience, about half the textbooks use just omega, and half use jw. It is up to you (or your instructor or other authority figure) what you use.

[jeenasir]

may I know..how to calculate two system that connected in parallel..what is the formula?..is it same as cascade?..

[uandhimanshu]

dear sir thanx for such an easy explaination of this difficult topic. but i am facing problem in finding the limit of integration and graphing . please take complicated problems of sinusoidal and sinc function.

[squarepusher]

In my book the Fourier relation is given as H(w)=Y(w)/X(w) i.e. without the j attached to the w (omega). Is that relationship in any way different from what you've described in this video?

[firzathereds]

Heyy, , if i have linear graphic x=y, how to make it transfer function in laplace?

[ujjvalpatel]

I think you are Left handed ? is it correct ?

[DrMaillard]

Fantastic lecture, thank you for your time. Minor comment: you are pronouncing asterisk as asterix!

[sharperguy]

We've done this before at my uni but they never even mentioned the term 'LTI system'