Chapter 7. Time Variation and Nonlinearity

  1. J. Carlos Santamarina1 and
  2. Dante Fratta2

Published Online: 20 JUN 2006

DOI: 10.1002/0470021896.ch7

Discrete Signals and Inverse Problems: An Introduction for Engineers and Scientists

Discrete Signals and Inverse Problems: An Introduction for Engineers and Scientists

How to Cite

Santamarina, J. C. and Fratta, D. (2005) Time Variation and Nonlinearity, in Discrete Signals and Inverse Problems: An Introduction for Engineers and Scientists, John Wiley & Sons, Ltd, Chichester, UK. doi: 10.1002/0470021896.ch7

Author Information

  1. 1

    Georgia Institute of Technology, USA

  2. 2

    University of Wisconsin-Madison, USA

Publication History

  1. Published Online: 20 JUN 2006
  2. Published Print: 1 JUL 2005

ISBN Information

Print ISBN: 9780470021873

Online ISBN: 9780470021897

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Keywords:

  • time variation and nonlinearity;
  • nonstationary signal implications;
  • nonstationary signals - instantaneous parameters;
  • Hilbert transform;
  • nonstationary signals - time windows;
  • wavelet analysis;
  • Morlet wavelet;
  • nonlinear systems - detecting nonlinearity;
  • time-varying systems

Summary

This chapter contains sections titled:

  • Nonstationary Signals: Implications

  • Nonstationary Signals: Instantaneous Parameters

  • Nonstationary Signals: Time Windows

  • Nonstationary Signals: Frequency Windows

  • Nonstationary Signals: Wavelet Analysis

  • Nonlinear Systems: Detecting Nonlinearity

  • Nonlinear Systems: Response to Different Excitations

  • Time-Varying Systems

  • Summary

  • Further Reading and References

  • Solved Problems

  • Additional Problems