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- How do you find the transfer function from impulse response?
- How do I find the transfer function?
- What is the Laplace transform of impulse input?
How do you find the transfer function from impulse response?
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 do I find the transfer function?
To find the transfer function, first take the Laplace Transform of the differential equation (with zero initial conditions). Recall that differentiation in the time domain is equivalent to multiplication by "s" in the Laplace domain. The transfer function is then the ratio of output to input and is often called H(s).
What is the Laplace transform of impulse input?
A unit step input which starts at a time t=0 and rises to the constant value 1 has a Laplace transform of 1/s. A unit impulse input which starts at a time t=0 and rises to the value 1 has a Laplace transform of 1. A unit ramp input which starts at time t=0 and rises by 1 each second has a Laplace transform of 1/s2.
