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Unwrapping the phase response functions for non-linear systems

✍ Scribed by H. Zhang; S.A. Billings

Publisher: Elsevier Science
Year: 1995
Tongue: English
Weight: 731 KB
Volume: 9
Category: Article
ISSN: 0888-3270
DOI: 10.1006/mssp.1995.0049

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✦ Synopsis

The higher order phase response functions contain important information about the behaviour of non-linear systems. Unfortunately, simply adopting the linear convention of plotting the phase between 2180°produces higher order phase response functions which are virtually impossible to interpret. In the present paper two new algorithms are introduced to overcome these problems by unwrapping the multidimensional non-linear phase. The unwrapped phase responses are shown to be much easier to interpret and details of the implementation together with examples illustrating the new techniques are included.

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