Impulse response of a transfer function

1. What is the impulse response of transfer function?
2. How do you calculate impulse response?
3. What is difference between transfer function and impulse response?
4. What is impulse response in Laplace transform?

What is the impulse response of transfer function?

If the transfer function of a system is given by H(s), then the impulse response of a system is given by h(t) where h(t) is the inverse Laplace Transform of H(s). A less significant concept is that the impulse response is the derivative of the step response.

How do you calculate impulse response?

Given the system equation, you can find the impulse response just by feeding x[n] = δ[n] into the system. If the system is linear and time-invariant (terms we'll define later), then you can use the impulse response to find the output for any input, using a method called convolution that we'll learn in two weeks.

What is difference between transfer function and impulse response?

Impulse response represent the system in time domain and transfer function represent the system in frequency domain.

What is impulse response in Laplace transform?

In control theory the impulse response is the response of a system to a Dirac delta input. This proves useful in the analysis of dynamic systems; the Laplace transform of the delta function is 1, so the impulse response is equivalent to the inverse Laplace transform of the system's transfer function.