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On the statistical estimation of frequency response function

Annals of the Institute of Statistical Mathematics, 1962
At present, the spectral method is used very commonly for the analysis.of an electrical or mechanical system. The spectral method is used not only for the estimation of the individual spectral density functions of the input and output of the system but also for the estimation of the frequency characteristics of the system.
Akaike, Hirotugu, Yamanouchi, Yasufumi
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Frequency Response Functions for Nonlinear Convergent Systems

IEEE Transactions on Automatic Control, 2007
Convergent systems constitute a practically important class of nonlinear systems that extends the class of asymptotically stable linear time-invariant systems. In this note, we extend frequency response functions defined for linear systems to nonlinear convergent systems.
Pavlov, A.V.   +2 more
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Estimation of Rotational Frequency Response Functions

2015
As it is widely known, in structural dynamic applications, ranging from structural coupling to model updating, the incompatibility between measured and simulated data is inevitable, due to the problem of coordinate incompleteness. Usually, the experimental data from conventional vibration testing is collected at a few translational degrees of freedom ...
Silva, Tiago Alexandre Narciso   +1 more
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Frequency Response Functions of a Lorry

Advanced Materials Research, 2014
There are characteristics which uniquely determine the dynamic individuality of every dynamical system. The frequency response functions can by considered as such characteristics. They are employed usually within the solution in frequency domain. These characteristics can be obtained by the numerical or experimental way.
Jozef Melcer, Daniela Kuchárová
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Identifying a Transfer Function From a Frequency Response

Volume 5: 6th International Conference on Multibody Systems, Nonlinear Dynamics, and Control, Parts A, B, and C, 2007
In this paper, the classic Levy identification method is reviewed and reformulated using a complex representation. This new formulation is able to solve the well known bias of the classic method at low frequencies. The formulation is generic, addressing both integer order and fractional order transfer functions.
Duarte Valério   +2 more
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Decomposition of frequency response functions into paths

Mechanical Systems and Signal Processing, 2022
Abstract Frequency response functions (FRFs) lie within the framework of the linear response theory in elastic structures. In FRFs, the inputs/outputs relationships are strictly determined, but there is no way of knowing how waves are propagated and converted from the input signals into the output signals.
Noriaki Yamamoto   +4 more
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Measurement of frequency response functions in noisy environments

7th IEEE Conference on Instrumentation and Measurement Technology, 1990
The geometric mean is proposed as an alternative averaging technique for frequency response function (FRF) measurements of a linear system. It is shown that it produces almost unbiased measurements even if the input and output measurements are both disturbed with (normal distributed) noise.
Schoukens, Joannes, Pintelon, Rik
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Frequency-Correlation Functions of Frequency Responses in Rooms

The Journal of the Acoustical Society of America, 1962
A mathematical study of the random interference of sound waves in large rooms requires statistical methods. “Statistical wave acoustics” is based on the random interference of many simultaneously excited normal modes of a room. In general, the random interference takes place for frequencies above 2000 (T60/V)12, where T60 is the reverberation time (in ...
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Frequency response function measurements in the presence of nonlinear distortions

Automatica, 2000
In this paper, we deal with the measurement of the frequency response function (FRF) of linear dynamic systems in the presence of nonlinear distortions. It is shown that it is possible to detect, qualify and quantify the nonlinear distortions during a broadband frequency response measurement.
Johan Schoukens   +3 more
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Accurate Estimation of Multivariable Frequency Response Functions

IFAC Proceedings Volumes, 1996
Abstract The nonparametric estimation of multivariable frequency response functions is studied within an "errors-in-variables" stochastic framework. It is shown that, even when the second-order moments of the disturbances are unknown, it is possible by using periodic excitations to obtain consistent and asymptotically effieient point estimates of the
Guillaume, Patrick   +2 more
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