Title :
On the least asymmetric wavelets
Author :
Doroslovacki, Milos I.
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., George Washington Univ., Washington, DC, USA
fDate :
4/1/1998 12:00:00 AM
Abstract :
The asymmetry of Daubechies´ (1988, 1992) scaling functions and wavelets can be diminished by minimizing a special second moment in time for the wavelet-generating discrete-time filter. The moment is involved in an uncertainty relation for discrete-time signals. Other measures of asymmetry are addressed as well, and corresponding results are compared
Keywords :
discrete time filters; filtering theory; signal processing; transfer functions; wavelet transforms; asymmetry measures; discrete-time signals; least asymmetric wavelets; phase nonlinearities minimisation; scaling functions; second moment; signal processing; transfer function; uncertainty relation; wavelet-generating discrete-time filter; Digital filters; Discrete wavelet transforms; Equations; Finite impulse response filter; Image processing; Polynomials; Power filters; Signal processing; Transfer functions;
Journal_Title :
Signal Processing, IEEE Transactions on
