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.
@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.
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.
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?
I wish this could have been explained this well when I took linear system analysis course, i would have probably got an A! damnit, I see it wasn't all my fault, these profesors don't explain well!