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It is known that an LTI system is defined by its Impulse Response and the Convolution Operator.

Could some put some intuition behind?

Thank You.

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closed as too broad by jojek, endolith, ThP, lennon310, MBaz Jul 17 '15 at 22:02

Please edit the question to limit it to a specific problem with enough detail to identify an adequate answer. Avoid asking multiple distinct questions at once. See the How to Ask page for help clarifying this question. If this question can be reworded to fit the rules in the help center, please edit the question.

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    $\begingroup$ en.wikipedia.org/wiki/Convolution $\endgroup$ – Jazzmaniac Jul 17 '15 at 14:14
  • $\begingroup$ It seems like homework $\endgroup$ – gmotree Jul 17 '15 at 14:40
  • $\begingroup$ I edited the question in a manner that both reflect the OP and is relevant to the forum. $\endgroup$ – Royi Jul 18 '15 at 10:12
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I think this post gives a lot of intuition about Convolution:

https://mathoverflow.net/questions/5892/what-is-convolution-intuitively

In the Signal Processing world, an LTI (Linear and Time Invariant) system basically scales and sums delayed versions of the input signal.

This can be mathematically described using the integral known as convolution.

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