Standard Article

Higher Order Statistical Signal Processing

Signal Processing

  1. Paul White

Published Online: 15 SEP 2009

DOI: 10.1002/9780470061626.shm051

Encyclopedia of Structural Health Monitoring

Encyclopedia of Structural Health Monitoring

How to Cite

White, P. 2009. Higher Order Statistical Signal Processing. Encyclopedia of Structural Health Monitoring. .

Author Information

  1. University of Southampton, Institute of Sound and Vibration Research, Southampton, UK

Publication History

  1. Published Online: 15 SEP 2009


The use of higher order spectra as tools for structural health monitoring is discussed. They are reviewed with reference to the familiar concepts of correlation functions and power spectra. In particular, third-order spectra, bispectra, are considered for the detection of cracks in beams through numerical simulations. The ability of the fourth-order spectrum, the trispectrum, to identify nonlinearities is demonstrated using a simulated softening spring.


  • higher order spectrum/statistics (HOS);
  • nonlinearity;
  • non-Gaussianity;
  • crack detection