Is there a way to determine the quality of an impulse-response relationship?

1. How do you evaluate impulse response?
2. What does the impulse response tell us?
3. How do you find the unit impulse response of a system?
4. What is the relationship between impulse and step response?

How do you evaluate 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 does the impulse response tell us?

An impulse is a signal with amplitude of 1 at t = 0 and zero everywhere else. Using an impulse to excite a system provides “infinite” frequency content, i.e. the impulse response tells us how the system will behave for inputs at all frequencies.

How do you find the unit impulse response of a system?

To find the unit impulse response of a system we simply take the inverse Laplace Transform of the transfer function.

What is the relationship between impulse and step response?

Because the step response has a discontinuity in it (i.e., a step), and the impulse response is simply the derivative of the step response, this causes an impulse function as part of the impulse response.