Question

What are the four steps of convolution?

Answer 1

Answer:

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• Take signal x1t and put t = p there so that it will be x1p.
• Take the signal x2t and do the step 1 and make it x2p.
• Make the folding of the signal i.e. x2−p.
• Do the time shifting of the above signal x2[-p−t]
• Then do the multiplication of both the signals. i.e. x1(p). x2[−(p−t)]

Answer 2

Convolution is a mathematical way of combining two signals to form a third signal. It is used to express the relation between input and output of an LTI system.

Explanation:

• It is the single most important technique in Digital Signal Processing.
• Using the strategy of impulse decomposition, systems are described by a single called the impulse response.
• These are the steps of convolution:

          1. Take the signal $x_{1} t$ and put $t=p$ there so that it will be $x_{1} p$.

          2. Take the signal $x_{2} t$ and to the step 1 and make it $x_{2} p$.

          3. Make the folding of the signal that is $x_{2} -p$.

          4. Do the time shifting of the above signal $x_{2} [-p-t]$.

          5. Then do the multiplication of both the signals that is

                $x_{1}(p).x_{2}[-(p-t)]$.