Published December 28, 2011 | Version 2339
Journal article Open

Robust Probabilistic Online Change Detection Algorithm Based On the Continuous Wavelet Transform

Description

In this article we present a change point detection algorithm based on the continuous wavelet transform. At the beginning of the article we describe a necessary transformation of a signal which has to be made for the purpose of change detection. Then case study related to iron ore sinter production which can be solved using our proposed technique is discussed. After that we describe a probabilistic algorithm which can be used to find changes using our transformed signal. It is shown that our algorithm works well with the presence of some noise and abnormal random bursts.

Files

2339.pdf

Files (154.7 kB)

Name Size Download all
md5:84f423b3d0efe519adc96eaac12a3636
154.7 kB Preview Download

Additional details

References

  • Popov A., Zhukov M., Computation of continuous wavelet transform of discrete signals with adapted mother functions, Proceedings of the SPIE, vol. 7502, pp. 75021E-75021E-6, 2009.
  • Bassville M., Nikiforov I.,Detection of abrupt changes. Theory and application, Pretince-Hall, Englewood Cliffs, New Jersey, 1993.
  • Burrus C., Ramesh A., Introduction to wavelets and wavelet transforms: A Primer, Pretince-Hall, New Jersey, 1998.
  • Charles K., An introduction to wavelets, Academic Press, New York, 1992.
  • Degroot M., Schervish M., Probability and Statistics, Pearson Education, Carnegie-Mellon University, 2011.
  • German R., Sintering theory and practice, John Wiley and Sons, New York, 1996.
  • Wald A., Sequential Analysis, John Wiley and Sons, New York, 1947.