The different method used for the computation of linear convolution is as follows :

- Graphical method
- Using the mathematical equation of convolution
- Tabulation method
- Multiplication method

This article gives information about the graphical method to how to find computation of linear convolution.

**Graphical method :**

∞

**y (n) =**∑ x (k) h(n-k)

k= -∞

for n = 0

∞

∞

**y (0) =**∑ x (k) h(-k)

k= -∞

for n =1

∞

**y (1) =**∑ x (k) h(1-k)

k= -∞

Here the term (1-k) can be written as h(-k+1).

∞

**y (1) =**∑ x (k) h(-k+1)

k= -∞

Here h(-k+1) indicates of folded signal h(-k). It indicates that h(-k) is delayed by 1 sample. Similarly for other values of n output y (n) is calculated.

Thus different operation involved in the calculation of linear convolution are as follow :

- Folding operation: It indicates folding of sequence h (k)
- Shifting operation: It indicates time shifting of h (-k) e.g h (-k+1)
- Multiplication: It indicates multiplication of x (k) and h (n-k)
- Summation: It indicates the addition of all product terms obtained because of multiplication of x (k) and h (n-k)

The different method used for the computation of linear convolution is as follows :

- Graphical method
- Using the mathematical equation of convolution
- Tabulation method
- Multiplication method

This article gives information about the graphical method to how to find computation of linear convolution.

**Graphical method :**

∞

**y (n) =**∑ x (k) h(n-k)

k= -∞

for n = 0

∞

∞

**y (0) =**∑ x (k) h(-k)

k= -∞

for n =1

∞

**y (1) =**∑ x (k) h(1-k)

k= -∞

Here the term (1-k) can be written as h(-k+1).

∞

**y (1) =**∑ x (k) h(-k+1)

k= -∞

Here h(-k+1) indicates of folded signal h(-k). It indicates that h(-k) is delayed by 1 sample. Similarly for other values of n output y (n) is calculated.

Thus different operation involved in the calculation of linear convolution are as follow :

- Folding operation: It indicates folding of sequence h (k)
- Shifting operation: It indicates time shifting of h (-k) e.g h (-k+1)
- Multiplication: It indicates multiplication of x (k) and h (n-k)
- Summation: It indicates the addition of all product terms obtained because of multiplication of x (k) and h (n-k)