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    Identification of nonlinear systems in frequency domain

    Date
    1975-11-01
    Author
    Shanmugam, K. Sam
    Jong, Mark T.
    Metadata
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    Citation
    Shanmugam, K.S.; Jong, M.T.; , "Identification of Nonlinear Systems in Frequency Domain," Aerospace and Electronic Systems, IEEE Transactions on , vol.AES-11, no.6, pp.1218-1225, Nov. 1975 doi: 10.1109/TAES.1975.308179
    Abstract
    A frequency domain technique for identifying a class of nonlinear systems is presented. The class of nonlinear systems we consider in this paper consists of a power series nonlinearity sandwiched between two linear systems and the problem we address is one of identifying the transfer functions of the linear systems and the coefficients of the power series nonlinearity from the terminal behavior of the system. The identification procedure is based on a frequency domain model of the nonlinear system. The system is modeled by a set of nonlinear transfer functions in the frequency domain and the relationships between the transfer functions of the linear system, the power series coefficients of the nonlinearity, and the nonlinear transfer functions of the system are developed. The identification procedure is based on a simple algorithm for factoring the non-linear transfer functions of the system. The experimental data required for applying our identification procedure consists of the amplitude response of the system to multitone sinusoidal input. A minimum phase transfer function in a single variable is used to approximate the experimental data and the repeated application of the factoring algorithm leads to the identification of the system. Examples illustrating the use of the proposed procedure are also presented.
    Description
    The full text of this article is not available on SOAR. WSU users can access the article via IEEE Xplore database licensed by University Libraries: http://libcat.wichita.edu/vwebv/holdingsInfo?bibId=1045954
    URI
    http://doi.dx.org/10.1109/TAES.1975.308179
    http://hdl.handle.net/10057/4103
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