Howtosignalprocessing
- What is transfer function in time domain?
- How do you find the transfer function of data?
- What is experimental determination of transfer functions?
- How can we convert our transfer functions from the Laplace domain to the frequency domain?
What is transfer function in time domain?
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.
How do you find the transfer function of data?
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 is experimental determination of transfer functions?
The experimental determination of the system transfer function or weighting function involves finding the function which, when convoluted with the auto correlogram of input, will most closely fit the cross-correlogram between the input and output signals.
How can we convert our transfer functions from the Laplace domain to the frequency domain?
The Laplace transform can be viewed as an extension of the Fourier transform where complex frequency s is used instead of imaginary frequency jω. Considering this, it is easy to convert from the Laplace domain to the frequency domain by substituting jω for s in the Laplace transfer functions.
