- What does the impulse response tell us?
- How do you solve impulse response?
- Why impulse response is important?
- What is the input for impulse response?
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 solve 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.
Why impulse response is important?
Why the impulse response is important. The impulse response of a system is important because the response of a system to any arbitrary input can calculated from the system impulse response using a convolution integral.
What is the input for impulse response?
Input types
An impulse input is a very high pulse applied to a system over a very short time (i.e., it is not maintained). That is, the magnitude of the input approaches infinity while the time approaches zero.