Howtosignalprocessing
- How do you find the transfer function?
- How do you write a transfer function in Bode form?
- How do you find the output of a Bode plot?
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).
How do you write a transfer function in Bode form?
Bode Form of Transfer Function
Bode form of KG(s) is a factored form with the constant term in each factor equal to 1, i.e., lump all DC gains into one number in the front. 3K(s3+1)4s((s2)2+s2+1)|s=jω=3K4⏟=K0jω3+1jω((jω2)2+jω2+1).
How do you find the output of a Bode plot?
To find the magnitude of the output, simply multiply the magnitude of the input (A) by the magnitude of the transfer function (M). The phase of the output is sum of the input phase (φ) and the phase of the transfer function (θ).
