Quoting Castro et al 2017 "The model proposed by Tiecks et al. (1995) uses a second-order differential equation to predict the velocity signal V(t) corresponding to a relative pressure change given by dP(t) by the formula: V(t) = 1 + dP(t) − K × x2(t), where K represents a gain parameter in the second-order differential equation, an x2 (t) is a state variable obtained from the following state equation system representing a second-order linear differential equation modeled by gain (K), time constant (T) and dampening factor (D). "
"In the original proposal of Tiecks et al. (1995), only 10
combinations of the parameters K, D, and T were consid-
ered, according to the values given in their Table 3, which
also shows the corresponding value of ARI for each combi-
nation of these parameters.
The building of an ARMA model based on Tiecks’
model is extensively detailed in previous work (Dineen
et al. 2010). "
"Once the ARMA parameters have been estimated, the
CBFV step response can be obtained from Eq. (10), and the
ARI parameter can then be extracted by least squares fitting
of the corresponding Tiecks et al. (1995) model responses
using the first N fit samples of the ARMA step response."
hi juan. pretty straightforward but all code depends on the format of your data. email me to discuss further.
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