What is going on with convolution at the output of a circuit?

1. What does convolution give us?
2. Why is convolution used?
3. What is convolution of a signal with an impulse?
4. What is convolution in signals and systems?

What does convolution give us?

Convolution is a mathematical tool to combining two signals to form a third signal. Therefore, in signals and systems, the convolution is very important because it relates the input signal and the impulse response of the system to produce the output signal from the system.

Why is convolution used?

Convolution is used in digital signal processing to study and design linear time-invariant (LTI) systems such as digital filters. Convolution for linear time-invariant systems. In practice, the convolution theorem is used to design the filter in the frequency domain.

What is convolution of a signal with an impulse?

Convolution is a very powerful technique that can be used to calculate the zero state response (i.e., the response to an input when the system has zero initial conditions) of a system to an arbitrary input by using the impulse response of a system. It uses the power of linearity and superposition.

What is convolution in signals and systems?

Convolution is a mathematical tool for combining two signals to produce a third signal. In other words, the convolution can be defined as a mathematical operation that is used to express the relation between input and output an LTI system.