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Parameter explanation of transfer function

Parameter explanation of transfer function

Parameter explanation of transfer function


I am using a biquadratic second order transfer function model to describe the relation betweem my input and output. Estimation of this transfer function is based on the tfest method from Matlab for discrete time systems. The transfer function function has the following form:
H(s) = (Y(s))/(X(s))= (b0 +b1*z^-1+b2*z^-2)/(1 + a1*z^-1 + a_2*z^-2 )
I am basically interested in finding changes of model parameters between two groups of subjects. The differences that I find from the transfer function are: the b-parameters and the steady state gain (SSG) of the model. I want to understand why there is a difference between the two groups when comparing b-parameters and SSG. However, I don't have much knowledge about what do these parameters really represent.

Does anyone have an idea maybe how to get more intuition of the meaning of each of the parameters. For example what is b0, b1 and b2 for discrete transfer function models?


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