The convolution gives the response y(n) of the Linear Time Invariant System as a function of the input signal x(n) and the impulse response h(n).

### Definition of the Linear convolution is :

#### The process can be summarized as follows:

**Folding:**Fold h(k) about k = 0 to obtain h(-k).**Shifting:**Shift h(-k) by p to the right (left) if p is positive (negative), to obtain h(p-k).**Multiplication:**Multiply x(k) by h(p-k) to obtain the product sequences as x(k)h(p-k).**Summation:**sum all the values of the product sequences to obtain the values of the output.
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