Applications of complex valued wavelet transforms to subband decomposition

Author

Lawton, Wayne

Author_Institution

Inst. of Syst. Sci., Nat. Univ. of Singapore, Singapore

Volume

41

Issue

12

fYear

1993

fDate

12/1/1993 12:00:00 AM

Firstpage

3566

Lastpage

3568

Abstract

A method for constructing complex valued linear phase FIR conjugate quadrature filters and associated wavelet bases is described. Each filter is derived by replating certain zeros of a real valued FIR conjugate quadrature filter by their reciprocal conjugates. The derived filters have the same frequency response magnitudes as the original filters and their linear phase property permits the use of symmetrization in subband decomposition to avoid border discontinuities that result from signal periodization. Subband decomposition and reconstruction using both a length 6 filter associated with a Daubechies (1988) wavelet bases and a related length 6 complex valued linear phase filter are compared to illustrate the reduced border effects

Keywords

digital filters; filtering and prediction theory; frequency response; linear network synthesis; signal processing; wavelet transforms; Daubechies wavelet bases; complex valued linear phase filter; complex valued wavelet transforms; conjugate quadrature filters; frequency response magnitudes; linear phase FIR filters; reciprocal conjugates; reduced border effects; signal periodization; subband decomposition; subband reconstruction; Displays; Finite impulse response filter; Frequency response; Image reconstruction; Nonlinear filters; Quantization; Reflection; Solids; Wavelet transforms;

fLanguage

English

Journal_Title

Signal Processing, IEEE Transactions on

Publisher

ieee

ISSN

1053-587X

Type

jour

DOI

10.1109/78.258098

Filename

258098