I have measured the magnitude response
Y_mag(f) and phase response
Y_phase(f) of an unknown physical system.
Is it possible to estimate the s-domain transfer function without a priori information about the order of the polynomials in the numerator or denominator?
I am more or less looking for an out-of-the-box approach that estimates the transfer function in a sufficient way. Performance and computing time are not an issue.
Python and MATLAB (Signal Processing Toolbox, Control System Toolbox) are available.