# Uniquely connecting frequency domain representations of given order polynomial Wiener-Hammerstein systems

@article{Rijlaarsdam2012UniquelyCF, title={Uniquely connecting frequency domain representations of given order polynomial Wiener-Hammerstein systems}, author={D. Rijlaarsdam and T. Oomen and P. Nuij and J. Schoukens and M. Steinbuch}, journal={Autom.}, year={2012}, volume={48}, pages={2381-2384} }

The notion of frequency response functions has been generalized to nonlinear systems in several ways. However, a relation between different approaches has not yet been established. In this paper, frequency domain representations for nonlinear systems are uniquely connected for a class of nonlinear systems. Specifically, by means of novel analytical results, the generalized frequency response function (GFRF) and the higher order sinusoidal input describing function (HOSIDF) for polynomial Wienerâ€¦Â Expand

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- 2014

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#### References

SHOWING 1-10 OF 12 REFERENCES

Spectral analysis of block structured nonlinear systems and higher order sinusoidal input describing functions

- Mathematics, Computer Science
- Autom.
- 2011

29

Output frequency response function of nonlinear Volterra systems

- Mathematics, Computer Science
- Autom.
- 2007

128- PDF

Identification of Nonlinear Systems in Frequency Domain

- Engineering
- IEEE Transactions on Aerospace and Electronic Systems
- 1975

19

Frequency Response Functions for Nonlinear Convergent Systems

- Mathematics, Computer Science
- IEEE Transactions on Automatic Control
- 2007

80- PDF

Higher-order sinusoidal input describing functions for the analysis of non-linear systems with harmonic responses

- Mathematics
- 2006

80- PDF

Spectral analysis for non-linear systems, Part I: Parametric non-linear spectral analysis

- Computer Science
- 1989

190