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Asked Jan 30, 2020
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Please explain discrete time convolution 

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Expert Answer

Definition

The discrete-time convolution is for the discrete signals. it can be better understood as explained below.

Consider a unit impulse discrete  signal  Electrical Engineering homework question answer, step 1, image 1. The impulse response of the the given discrete signal is given as:

Electrical Engineering homework question answer, step 1, image 2

The impulse signal is shown below:

Electrical Engineering homework question answer, step 1, image 3

The response of this signal is given below:

 

Electrical Engineering homework question answer, step 1, image 4

 

description

if the input is Electrical Engineering homework question answer, step 2, image 1the response will be Electrical Engineering homework question answer, step 2, image 2. the response is shown below.

Electrical Engineering homework question answer, step 2, image 3

 

from the above if the input is Electrical Engineering homework question answer, step 2, image 4the response will be Electrical Engineering homework question answer, step 2, image 5.

the graph will be two units forward.

based on this the response can be related as:

Electrical Engineering homework question answer, step 2, image 6

...

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