How can I find the following convolution sum?

1. How do you find the convolution sum?
2. What is convolution sum in LTI system?
3. How do you find the convolution of two sequences?
4. What are the properties of convolution sum?

How do you find the convolution sum?

We can compute the convolution by treating the input sequence and impulse response as number sequences and sliding the reversed impulse response past the input sequence, cross-multiplying, and summing the nonzero overlap terms at each step.

What is convolution sum in LTI system?

. This summation is called the convolution sum. It shows how to obtain an output of an LTI system given only the input and the impulse response. It works for any input, so it tells us that impulse response fully characterizes an LTI system.

How do you find the convolution of two sequences?

The convolution of two finite sequences is defined by extending the sequences to finitely supported functions on the set of integers. When the sequences are the coefficients of two polynomials, then the coefficients of the ordinary product of the two polynomials are the convolution of the original two sequences.

What are the properties of convolution sum?

(a) The commutative property. (b) The associative property. (c) The distributive property.