Title :
On the space of orthonormal wavelets
Author :
Sherlock, B.G. ; Monro, D.M.
Author_Institution :
Dept. of Electr. Eng., North Carolina Univ., Charlotte, NC, USA
fDate :
6/1/1998 12:00:00 AM
Abstract :
The space of orthonormal wavelets is described by a set of parameters for which a simple recurrence generates the coefficients for all orthonormal perfect-reconstruction FIR filters of arbitrary length. The space splits into two halves, each containing the time reverse of the other´s filters. A MATLAB implementation is given. This paper considers the generation of two-channel perfect reconstruction quadrature mirror filter banks corresponding to compactly supported orthonormal wavelets
Keywords :
FIR filters; circuit CAD; quadrature mirror filters; signal reconstruction; wavelet transforms; MATLAB implementation; compactly supported orthonormal wavelets; filter coefficients; filter length; orthonormal wavelets space; perfect-reconstruction FIR filters; quadrature mirror filter banks; two-channel QMF; Continuous wavelet transforms; Discrete wavelet transforms; Filter bank; Filtering theory; Finite impulse response filter; Image processing; Image reconstruction; MATLAB; Polynomials; Signal processing;
Journal_Title :
Signal Processing, IEEE Transactions on
