Response

Impulse response VS zero-input response

Impulse response VS zero-input response
  1. Is impulse response the same as zero-input response?
  2. Is the impulse response the zero state response?
  3. What do you mean by zero-input response?
  4. What is the difference between impulse and step response?

Is impulse response the same as zero-input response?

Of course, a system can also have a zero-input response, which is obtained by solving the corresponding homogeneous ODE with the appropriate initial conditions, but this response is not directly related to the system's impulse response.

Is the impulse response the zero state response?

It is important to keep in mind that the impulse response of a system is a zero state response (i.e., all initial conditions equal to zero at t=0-).

What do you mean by zero-input response?

The zero input part of the response is the response due to initial conditions alone (with the input set to zero). The zero state part of the response is the response due to the system input alone (with initial conditions set to zero).

What is the difference between impulse and step response?

Definition: The impulse response of a system is the output of the system when the input is an impulse, δ(t), and all initial conditions are zero. Definition: The step response of a system is the output of the system when the input is a step, H(t), and all initial conditions are zero.

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