Howtosignalprocessing
- How do you find the transfer function from a Bode diagram?
- How do you find the transfer function?
- What would be the transfer function for a system that has the following Bode plot?
How do you find the transfer function from a Bode diagram?
Calculating a Transfer Function from a Bode Plot
The magnitude of the transfer function is shown on a logarithmic scale and the phase is shown in radians or degrees. The magnitude and phase are normally shown together to communicate everything about the transfer function in a pair of corresponding graphs.
How do you 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 would be the transfer function for a system that has the following Bode plot?
The standard transfer function of a Bode magnitude plot is: T F = K ( 1 + s ω 1 ) ( 1 + s ω 2 ) … s n ( 1 + s ω 3 ) ( 1 + s ω 4 ) … Here, ω1, ω2, ω3, ω4, … are the corner frequencies. n is the number poles at the origin.
