Howtosignalprocessing
- How do you find impulse response given input and output?
- How do you find the impulse response of a signal?
- How to find impulse response of LTI system from input and output?
- What is the input for impulse response?
How do you find impulse response given input and output?
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.
How do you find the impulse response of a signal?
Key Concept: The impulse response of a system is given by the 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).
How to find impulse response of LTI system from input and output?
The impulse response for an LTI system is the output, y ( t ) y(t) y(t), when the input is the unit impulse signal, σ ( t ) \sigma(t) σ(t). In other words, when x ( t ) = σ ( t ) , h ( t ) = y ( t ) .
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.
