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.

  • 1
    $\begingroup$ en.wikipedia.org/wiki/Convolution $\endgroup$
    – Jazzmaniac
    Commented Jul 17, 2015 at 14:14
  • $\begingroup$ It seems like homework $\endgroup$
    – gmotree
    Commented Jul 17, 2015 at 14:40
  • $\begingroup$ I edited the question in a manner that both reflect the OP and is relevant to the forum. $\endgroup$
    – Royi
    Commented Jul 18, 2015 at 10:12

1 Answer 1


I think this MathOverflow post gives a lot of intuition about Convolution: What's 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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