What Is the Intuition of Convolution in The Signal Processing World [closed]

1. What is the purpose of convolution in signal processing?
2. What is the convolution of a signal with an impulse answer?
3. What is convolution in a LTI system?
4. What is convolution and deconvolution?

What is the purpose of convolution in signal processing?

Convolution is important because it relates the three signals of interest: the input signal, the output signal, and the impulse response.

What is the convolution of a signal with an impulse answer?

What is the convolution of a signal with an impulse? Explanation: The convolution of a signal x(n) with a unit impulse function ∂(n) results in the signal x(n) itself: x(n)* ∂(n)=x(n).

What is convolution in a LTI system?

Convolution is a mathematical operation which takes two functions and produces. a third function that represents the amount of overlap between one of the functions and a. reversed and translated version of the other function.

What is convolution and deconvolution?

In mathematics, deconvolution is the operation inverse to convolution. Both operations are used in signal processing and image processing. For example, it may be possible to recover the original signal after a filter (convolution) by using a deconvolution method with a certain degree of accuracy.