What Are the Key Challenges in Understanding Convolution in Signal Processing?

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Understanding convolution in signal processing involves grasping the sifting property, impulse response, and the convolution operation itself. The sifting property allows extraction of a signal's value at a specific time using the delta function, but raises questions about its necessity. The impulse response characterizes a system's output when subjected to a unit impulse, leading to confusion about the nature of the delta function and its implications for system response. Convolution combines the impulse response with an input signal to determine the system's output, yet some find it perplexing why the impulse response suffices instead of directly obtaining the output for any input. Overall, clarity on these concepts is essential for a solid foundation in signals and systems.
  • #31
T.Engineer said:
I want to study the convolution in more details. So if you can provide me by any link to find a brief study for the convolution.

thanks alot!

More detail than what rbj posted?
 
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  • #32
I want to study the convolution in more details. So if you can provide me by any link to find a brief study for the convolution.

Frogpad is right, you probably aren't going to find a better explanation that is as concise and to the point as what rbj posted. But here are some links anyway:

  • http://cnx.org/content/m11541/latest/" of computing the convolution of two signals.
  • A pretty cool http://www.jhu.edu/~signals/convolve/index.html" helping you gain a good visual intuition of the convolution. (continuous time)
  • Same "slider" for the http://www.jhu.edu/~signals/discreteconv2/index.html"
  • You can also check out the EE 20 and EE 120 Lectures on the http://webcast.berkeley.edu/courses.php?semesterid=22" (I'm not sure exactly where in the videos he talks about the convolution, though.)
  • And of course there are the http://ocw.mit.edu/OcwWeb/Electrical-Engineering-and-Computer-Science/6-003Fall-2003/CourseHome/index.htm" at the MIT Open Courseware site. (The homework solutions are exceptionally well written!)

But for a great derivation, I've found nothing better than what rbj posted here!
 
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  • #33
this is an amazing tutorial - thanks a lot rbj
wolf of the steps - haven't i seen you somewhere? :P
 
  • #34
trickae said:
this is an amazing tutorial - thanks a lot rbj
wolf of the steps - haven't i seen you somewhere? :P

Who me? You must be thinking of someone else. :biggrin:
 

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