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ANALYSIS OF THE FREQUENCY RESPONSE FUNCTION FOR LINEAR AND QUADRATIC NON-LINEAR SYSTEMS USING VECTOR NOTATION

✍ Scribed by DONG-HYUN KIM; KYOUNG-UK NAM; YANG-HANN KIM

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
232 KB
Volume
17
Category
Article
ISSN
0888-3270

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✦ Synopsis

We have attempted to express the frequency response functions of a linear and a quadratic non-linear system in terms of spectral vectors. These vector notations convey the system characteristics in physically realisable measures. One of the valuable tools to verify the non-linear system features is the expression of a coherence function using vector notation. The visualisation of a coherence function demonstrates the dependency of an output signal on the linear and quadratic non-linear terms in the Volterra model. Multiple coherence functions are also introduced to validate the modelling errors.

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