Time-frequency characteristics of non-linear systems

S. Braun, M. Feldman

Research output: Contribution to journalArticlepeer-review


The time-varying characteristics of non-linear systems responding to typical identification signals are addressed and the potential for identifying some time-varying patterns is shown. Specifically, the instantaneous frequency of system responses is analysed, and shown to characterise non-linear behaviour. The analysis is done via the Hilbert transform. Examples include a Duffing oscillator and a memoryless system of the type y = x3. The possibility of enhancing the time-frequency resolution, as compared to classic Fourier methods, is also briefly addressed.

Original languageEnglish
Pages (from-to)611-620
Number of pages10
JournalMechanical Systems and Signal Processing
Issue number4
StatePublished - Jul 1997
Externally publishedYes


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