2009
DOI: 10.3182/20090706-3-fr-2004.00282
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Sensor-Only Noncausal Blind Identification of Pseudo Transfer Functions

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Cited by 13 publications
(8 citation statements)
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“…In many applications of system identification, the system is driven by external signals that are not measured. In this situation, blind identification techniques are used to obtain useful estimates of the system dynamics 7 . Since the input signal is unknown, its statistical properties are usually assumed to be known in order to compensate for lack of knowledge of its time history.…”
Section: B Sensor-only Noncausal Blind Identification (Sonbi) -Intermentioning
confidence: 99%
“…In many applications of system identification, the system is driven by external signals that are not measured. In this situation, blind identification techniques are used to obtain useful estimates of the system dynamics 7 . Since the input signal is unknown, its statistical properties are usually assumed to be known in order to compensate for lack of knowledge of its time history.…”
Section: B Sensor-only Noncausal Blind Identification (Sonbi) -Intermentioning
confidence: 99%
“…Some measurements are used as output while other measurements are used as input to what is called a pseudo transfer function. Unfortunately, dynamics that is shared, in the transfer functions from the unknown input to the measurements, will cancel, but more importantly, so does the unknown input (Aljanaideh, Ali, Holzel, Kukreja, & Bernstein, 2012;D'Amato, Brzezinski, Holzel, Ni, & Bernstein, 2009).…”
Section: Introductionmentioning
confidence: 99%
“…Note that the framework of this paper allows τ O and τ D to be correlated and that extra consideration have to be taken in this case.Söderström (2007) gives a survey for EIV problems andMahata and Garnier (2006) deals with one method of estimating the model in a continuous-time EIV problem. (c) Finally, if n I = dim(u) and hence, that there are only indirectly measured inputs, then the resulting model is a sensor-to-sensor system identification problem (S2SID) and the resulting transfer function is called a pseudo transfer function(D'Amato et al, 2009). Note that the principal structure of the S2SID problem shown inFigure 2(c)is misleadingly similar to the EIV problem shown inFigure 2(b).…”
mentioning
confidence: 99%
“…For example, because the transfer function between sensors does not arise as the forced response of a state space model, a sensor-to-sensor transfer function is not a transfer function in the usual sense. Therefore, we adopt the terminology pseudo-transfer function (PTF) and transmissibility operator to refer to a dynamic model relating sensor signals, which are called the pseudo-input and pseudo-output [15][16][17]. To use a PTF identified under healthy conditions for fault detection, it is necessary to show that the identified PTF is independent of both the initial condition and the input to the system.…”
Section: Introductionmentioning
confidence: 99%
“…Generically, the poles of the plant play no role in the numerator and denominator of a PTF, whose roots are the zeros of the original transfer functions. These issues are discussed in [15] and applied to structural vibration in [16,17].…”
Section: Introductionmentioning
confidence: 99%