Except for the id_poly and qbode functions, the SDT does not typically use the numerous variants of the ARMAX model
that are traditional in system identification applications and lead to the ratio of polynomials called transfer function format (tf) in other MATLAB Toolboxes. In modal analysis, transfer functions refer to the functions characterizing the relation between inputs and outputs. The tf format thus corresponds to the parametric representations of sets of transfer
functions in the form of a ratio of polynomials
Hj(s) =
aj,1sna-1 + aj,2sna-2 + ... + aj,na
bj,1snb-1 + bj,2snb-2 + ... + bj,nb
(2.27)
The SDT stacks the different
numerator and denominator polynomials as rows of numerator and
denominator matrices
num = [
a11
a12
...
a21
a22
...
·
·
·
·
·
·
]
and
den = [
b11
b12
...
b21
b22
...
·
·
·
·
·
·
]
(2.28)
Other MATLAB toolboxes typically only accept a single common
denominator (den is a single row). This form is also accepted by
qbode which is used to predict FRFs at a number of frequencies in the
non-parametric xf format).
The id_poly function identifies polynomial representations of sets of test
functions and res2tf provides a transformation between the pole/residue and
polynomial representations of transfer functions.
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