Skip to main content

Generalization of a Recognition Algorithm Based on the Karhunen-Loève Transform

  • Conference paper
Knowledge-Based Intelligent Information and Engineering Systems (KES 2007)

Abstract

This paper presents a generalization of a recognition algorithm that is able to classify non-deterministic signals generated by a set of Stochastic Processes (SPs), the number of which may be arbitrarily chosen. This generalized recognizer exploits the nondeterministic trajectories generated by the Karhunen-Loève Transform (KLT) with no additional constraints or explicit limitations, and without the probability density function (pdf) estimation. Several experimentations were performed on SPs generated as solutions of non-linear differential equations with parameters and initial conditions being random variables. The results show a recognition rate which is close to 100%, thus demonstrating the validity of the generalized algorithm.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Poggio, T., Rifkin, R., Mukherjee, S., Niyogi, P.: General conditions for predictivity in learning theory. Nature 428, 419–422 (2004)

    Article  Google Scholar 

  2. Tomasi, C.: Past performance and future results. Nature 428, 378 (2004)

    Article  Google Scholar 

  3. Rabiner, L.R.: A tutorial on hidden Markov models and selected applications in speech recognition. Proceedings of the IEEE 77(2), 257–286 (1989)

    Article  Google Scholar 

  4. Jain, A.K., Duin, P.R.W., Jianchang, M.: Statistical pattern recognition: A review. IEEE Trans. Pattern Analysis and Machine Intelligence 22(1), 4–37 (2000)

    Article  Google Scholar 

  5. Gianfelici, F., Turchetti, C., Crippa, P.: A non probabilistic algorithm based on Karhunen-Loéve transform for the recognition of stochastic signals. IEEE Proc. Int. Symp. Signal Processing and Information Technology (ISSPIT 2006) 1, 385–390 (2006)

    Article  Google Scholar 

  6. Gianfelici, F., Turchetti, C., Crippa, P.: Efficient classification of chaotic signals with application to secure communications. IEEE Proc. Int. Conf. Acustics, Speech and Signal Processing (ICASSP 2007) 3, 1073–1076 (2007)

    Google Scholar 

  7. Dougherty, E.R.: Random Processes for Image and Signal Processing. SPIE—IEEE Series on Imaging Science and Engineering. Bellingham (1998)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Bruno Apolloni Robert J. Howlett Lakhmi Jain

Rights and permissions

Reprints and permissions

Copyright information

© 2007 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Gianfelici, F., Turchetti, C., Crippa, P., Battistelli, V. (2007). Generalization of a Recognition Algorithm Based on the Karhunen-Loève Transform. In: Apolloni, B., Howlett, R.J., Jain, L. (eds) Knowledge-Based Intelligent Information and Engineering Systems. KES 2007. Lecture Notes in Computer Science(), vol 4692. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74819-9_57

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-74819-9_57

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-74817-5

  • Online ISBN: 978-3-540-74819-9

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics