One of the most important operation in signals processing is **convolution**. For a typical LTI system, the output can be produced by convolving the input with the given impulse responses. In general, we have 2 types of convolutions:

**Convolution sum** for **Discrete LTI system**
**Convolution Integral** for **Continuos LTI system**

Here, we will see how to compute convolution integral. Basically, the convolution integral involves 4 steps as shown below:

Let’s us look at the simple example, x(t) and h(t) is given below:

So follow **step 1** to use a dummy variable τ to replace t

then flip h(τ) as indicated in **step 2**

Repeating **step 3 & 4** until obtaining the final answer

so, the final answer is

Similarly, we can also compute the convolution sum for Discrete LTI system by using the following 4 steps:

we will look at some related examples on computing convolution sum in the next post. Stay tuned.

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