Howtosignalprocessing
- What is sinusoidal transfer function?
- What is the sinusoidal response?
- How do you find the steady-state response of a transfer function?
What is sinusoidal transfer function?
s with jω in the system transfer function, that. is, H(jω) = H(s)| s=jω H(jω) is called the sinusoidal transfer function.
What is the sinusoidal response?
The sinusoidal response of a system refers to its response to a sinusoidal input: u(t)=cosω0t or u(t)=sinω0t. To characterize the sinusoidal response, we may assume a complex exponential input of the form: u(t)=ejω0t, u(s)=1s−jω0. Then, the system output is given as: y(s)=G(s)s−jω0.
How do you find the steady-state response of a transfer function?
The steady state value is also called the final value. The Final Value Theorem lets you calculate this steady state value quite easily: limt→∞y(t)=limz→0z∗Y(z), where y(t) is in the time domain and Y(z) is in the frequency domain. So if your transfer function is H(z)=Y(z)X(z)=.
