Howtosignalprocessing
- What is phase of a transfer function?
- How do you find the phase response of a transfer function?
- How to calculate the magnitude and phase of a transfer function?
- How do you calculate transfer function?
What is phase of a transfer function?
The phase response of a filter transfer function H(ω) is the phase—one of the components of a complex number—of H at the frequency ω. A transfer function, H(ω), has a magnitude response |H(ω)| and a phase response ϕ(ω) such that H(ω) = |H(ω)| eiϕ(ω).
How do you find the phase response of a transfer function?
To obtain the phase response, we take the arctan of the numerator, and subtract from it the arctan of the denominator. (Angle of a complex number expressed as a vector is something you may not be familiar with.
How to calculate the magnitude and phase of a transfer function?
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).
How do you calculate 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).
