DIFFERENT WAVELETS, THEIR PROPERTIES AND ADVANTAGES

Authors

  • M. Sifuzzaman Mathematics Discipline, Khulna University, Khulna 9208, Bangladesh
  • S. A. Shamim Mathematics Discipline, Khulna University, Khulna-9208, Bangladesh
  • M. R. Islam Mathematics Discipline, Khulna University, Khulna-9208, Bangladesh
  • R. Sarker Mathematics Discipline, Khulna University, Khulna-9208, Bangladesh

DOI:

https://doi.org/10.53808/KUS.2007.8.2.0705-PS

Keywords:

Fourier transform, wavelet, wavelet transform, time-frequency signal analysis

Abstract

In this article we discuss the concept of wavelets, different forms of wavelets and their properties, graphs of different wavelets and their Fourier transforms are shown. We have also discussed the comparative advantages of wavelet transforms over Fourier transforms- in analyzing signals.

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References

Charles, C. 1991. Wavelet Theory. Academic Press, Cambridge, MA.

Christensen, O. 2004. Approximation Theory, From Taylor Polynomials to Wavelets. Birkhäuser, Boston.

Daubechies, I. 1992. Ten Lectures on Wavelets. SIAM, Philadelphia, PA.

Debnath, L. 2002. Wavelet Transformation and their Applications. Birkhäuser, Boston.

Mallat, S. 1999. A wavelet Tour of Signal Processing. Academi Press, New York.

Meyer, Y. 1993. Wavelets: their past and their future, Progress in Wavelet Analysis and its Applications. Gif-sur-Yvette, pp. 9-18.

Strang, G. 1989. Wavelets and Dilation Equations: A brief introduction. SIAM Review, 31: 614-627.

Walnut, D.F. 2001. An Introduction to Wavelet Analysis, Birkhäuser, Boston.

Wells, R.O. 1993. Parametrizing Smooth Compactly Supported Wavelets. Transform American Mathematical Society, 338(2): 919-931.

Wojtaszczyk, P. 1997. A Mathematical Introduction to Wavelets. Cambridge University press, Cambridge, U.K.

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Published

20-11-2007

How to Cite

[1]
M. . Sifuzzaman, S. A. . Shamim, M. R. . Islam, and R. . Sarker, “DIFFERENT WAVELETS, THEIR PROPERTIES AND ADVANTAGES”, Khulna Univ. Stud., pp. 316–325, Nov. 2007.

Issue

Section

Physical Science

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