Title :
On a family of orthonormal scalar wavelets and related balanced multiwavelets
Author :
Shen, Lixin ; Tan, Hwee Huat
Author_Institution :
Dept. of Math., Nat. Univ. of Singapore, Singapore
fDate :
7/1/2001 12:00:00 AM
Abstract :
For a family of length-4N orthonormal scalar wavelet filters that has been shown to be closely related to symmetric/antisymmetric orthonormal multifilters (SAOMFs), a sufficient and necessary condition is given for their construction. A near-linear criterion is then provided for constructing balanced multiwavelet filters related to these scalar filters. Numerical results are presented to demonstrate the potential usefulness of this criterion
Keywords :
digital filters; network synthesis; wavelet transforms; balanced multiwavelet filters; digital filters; filter length; high pass filter; low pass filter; near-linear criterion; necessary condition; orthonormal scalar wavelet filters; sufficient condition; symmetric/antisymmetric orthonormal multifilters; Discrete wavelet transforms; Educational technology; Eigenvalues and eigenfunctions; Filters; Information processing; Mathematics; Signal denoising; Signal processing; Sufficient conditions; Symmetric matrices;
Journal_Title :
Signal Processing, IEEE Transactions on
