journal6 ›› 2010, Vol. 31 ›› Issue (1): 61-63.

• Mathematics • Previous Articles     Next Articles

Construction of Biorthogonal Wavelet Based on the Perfect Reconstruction Condition


  1. (1.Hunan Vocational College of Engineering and Technology,Changsha 410151;2.School of Physics and Microelectronics Science,Hunan University,Changsha 410082,China)
  • Online:2010-01-25 Published:2012-04-19

Abstract: A general construction approach of biorthogonal wavelet filters based on the perfect reconstruction is presented.Given the number of vanishing moments and length of the filters,coefficients of biorthogonal wavelet filters can be obtained by the resolution of equations.This method is used to construct JPEG2000 5/3 wavelet,CDF9/7 wavelet and a biorthogonal 9/7 taps wavelet which is adaptive to hardware implement with simple coefficients.

Key words: biorthogonal wavelet, perfect reconstruction, image compression, filter

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