Howtosignalprocessing
- What does the Laplace transfer function of a transfer system describe?
- What function of Laplace's domain is?
- What domain is the transfer function in?
- Why Laplace transform is used to calculate transfer function?
What does the Laplace transfer function of a transfer system describe?
Detailed Solution
Concept: A transfer function is defined as the ratio of Laplace transform of the output to the Laplace transform of the input by assuming initial conditions are zero.
What function of Laplace's domain is?
In the Laplace domain, we find the response function(3.69)Y(s)=as+a⋅ωs2+ω2, where the first fraction is the transfer function of the RC lowpass with a=1/RC, and the second fraction is the Laplace transform of the sinusoidal input signal X(s).
What domain is the transfer function in?
A transfer function defines the relationship between the input to a system and its output. It is typically written in the frequency domain (S-domain), rather than the time domain (t-domain). The Laplace transform is used to map the time domain representation to frequency domain representation.
Why Laplace transform is used to calculate transfer function?
Since the Laplace transform is a linear operator, each term can be transformed separately. If the initial condition is zero, the value of y at the initial time is zero, ie y(0)=0.
