Structural Identification Using a Combination of Subspace Analysis and Block Sum Transformation

Kamarys, Dirk; Märtens, Michael; Waller, Heinz

doi:10.1006/mssp.2000.1367

Cited by 2 publications

(2 citation statements)

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“…This problem can be solved using weighted eigenvectors of the sampled signal to compose the transfer function of the regarded system, yielding an exact continuous spectrum [22]. We estimated H for each sampled pulse using a stimulus of amplitude u 0 and centre frequency ω 0 = 2πf 0 , matching the fundamental frequency of the transducer.…”

Section: High Resolution Narrow Bandwidth Pulse Spectroscopymentioning

confidence: 99%

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Statistical modelling of ultrasonic sensors in process industries—new prospects for conventional devices

Schäfer¹,

Hauptmann²

2007

Meas. Sci. Technol.

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The acoustic impedance of different fluids was indirectly measured by analysing the reverberation of a pulsed ultrasonic transducer showing a design as applied in contemporary process instrumentation. The set of observed fluids comprises air, methanol, ethanol, toluene, water and glycerine, which are substances of extremely different acoustic properties. The fluid impedance was precisely gauged using statistical linear models. The model complexity as well as the required calibration effort was minimized including a priori knowledge about the electrical characteristic of the transducer near resonance. The predictive power of different linear model estimates in terms of ordinary least squares, principal component regression and partial least squares was compared. A compensation method was proposed correcting the impact of temperature variation on analysed data. Additionally measured transit time permits the precise estimation of the density of arbitrary homogeneous fluids of varying temperature using traditional transducer designs. Thereby the functional range of conventional ultrasonic devices in process industries can be extended without the need for constructive modifications.

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Section: High Resolution Narrow Bandwidth Pulse Spectroscopymentioning

confidence: 99%

“…since H was quantified earlier by equation ( 19) and Z 0 can be calibrated. The conductance spectra, G k (ω), obtained by equation (22) for the observed fluids are shown in figure 3. Hence, we are able to determine parameter R of the BVD from the sampled pulse response of the system.…”

Section: Reduction Of Model Complexitymentioning

confidence: 99%