Skip to main content

Evolutionary Wavelet Bases in Signal Spaces

  • Conference paper
  • First Online:
Book cover Real-World Applications of Evolutionary Computing (EvoWorkshops 2000)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1803))

Included in the following conference series:

Abstract

We introduce a test environment based on the optimization of signals approximated in function spaces in order to compare the performance of different evolutionary algorithms. An evolutionary algorithm to optimize signal representations by adaptively choosing a basis depending on the signal is presented. We show how evolutionary algorithms can be exploited to search larger waveform dictionaries for best basis selection than those considered in current standard approaches.

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 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
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. M. Antonini, M. Barlaud, P. Mathieu, and I. Daubechies. Image coding using wavelet transform. IEEE Trans. on Image Process., 1(2), April 1992.

    Google Scholar 

  2. G. Beylkin. On the representation of operators in bases of compactly supported wavelets. Society for Industrial and Applied Mathematics, 6(6):1716–1740, December 1992.

    MathSciNet  Google Scholar 

  3. C. M. Brislawn. Two-dimensional symmetric wavelet transform tutorial program. Technical report, Los Alamos National Laboratory, December 1992.

    Google Scholar 

  4. J. Buckheit and D. L. Donoho. Wavelab and reproducible research. Technical report, Department of Statistics, Stanford University, 1995.

    Google Scholar 

  5. I. Cohen, S. Raz, and D. Malah. Orthonormal shift-invariant wavelet packet decomposition and representation. Signal Processing, 57(3):251–270, March 1997.

    Article  MATH  Google Scholar 

  6. R. R. Coifman and M. V. Wickerhauser. Entropy based methods for best basis selection. IEEE Trans. on Inf. Theory, 38(2):719–746, 1992.

    Article  Google Scholar 

  7. G. Davis. Baseline Wavelet Transform Coder Constrution Kit. Mathematics Department, Dartmouth College, January 1997.

    Google Scholar 

  8. D. E. Goldberg. Genetic Algorithms in Search, Optimization, and machine learning and Filter Banks. Addison-Wesley, Reading, Massachusetts, 1989.

    Google Scholar 

  9. John R. Koza. Genetic Programming-On the Programming of Computers by Means of Natural Selection. MIT Press, Cambridge, MA, 1992.

    MATH  Google Scholar 

  10. Z. Michalewicz. Genetic algorithms + data structures = evolution programs. Artificial Intelligence. Springer-Verlag, New York, 1992.

    MATH  Google Scholar 

  11. J. Villasenor, B. Belzer, and J. Liao. Wavelet filter evaluation for image compression. IEEE Trans. on Image Process., 4(8):1053–1060, August 1995.

    Article  Google Scholar 

  12. M. Wall. GAlib: A C++ Library of Genetic Algorithm Components. Mechanical Engineering Department, Massachusetts Institute of Technology, August 1996.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2000 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Ferreira da Silva, A.R. (2000). Evolutionary Wavelet Bases in Signal Spaces. In: Cagnoni, S. (eds) Real-World Applications of Evolutionary Computing. EvoWorkshops 2000. Lecture Notes in Computer Science, vol 1803. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45561-2_5

Download citation

  • DOI: https://doi.org/10.1007/3-540-45561-2_5

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-67353-8

  • Online ISBN: 978-3-540-45561-5

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics