- #31
FrogPad
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T.Engineer said:
More detail than what rbj posted?
What Are the Key Challenges in Understanding Convolution in Signal Processing?
- Thread starter WolfOfTheSteps
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SUMMARY
The discussion centers on the challenges of understanding convolution in signal processing, specifically in both discrete and continuous time. Key concepts include the Sifting Property, Impulse Response, and the mathematical formulation of convolution as y(t) = ∫x(τ)h(t-τ)dτ. Participants express confusion regarding the utility of the Sifting Property and the nature of the impulse response, questioning its implications for system responses. The conversation suggests that a discrete-time approach may simplify the understanding of convolution before extending to continuous time.
PREREQUISITES- Understanding of the Sifting Property in signal processing
- Familiarity with Impulse Response and its role in Linear Time-Invariant (LTI) systems
- Basic knowledge of convolution operations in both discrete and continuous time
- Mathematical proficiency in integrals and summations
- Study the Sifting Property in detail to clarify its practical applications
- Learn about Impulse Response and its significance in LTI systems
- Explore discrete-time convolution techniques and their transition to continuous time
- Investigate the mathematical foundations of convolution, including integral and summation forms
Students and professionals in electrical engineering, signal processing, and systems analysis who seek to deepen their understanding of convolution and its applications in both discrete and continuous time systems.
More detail than what rbj posted?
- #32
WolfOfTheSteps
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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
trickae
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this is an amazing tutorial - thanks a lot rbj
wolf of the steps - haven't i seen you somewhere? :P
wolf of the steps - haven't i seen you somewhere? :P
- #34
WolfOfTheSteps
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trickae said:
Who me? You must be thinking of someone else.
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