Title :
Biorthogonal generalization of Meyer wavelets
Author :
Rao, Raghuveer M.
Author_Institution :
Dept. of Electr. Eng., Rochester Inst. of Technol., NY, USA
Abstract :
Construction of a class of symmetric and bandlimited dual wavelet pairs that provide biorthogonal decompositions is presented. The procedure first produces a pair of scaling functions that are biorthogonal duals of each other. The wavelet Fourier transforms are then constructed by piecing together sections of the Fourier transforms of the two scaling functions. An example is provided. The construction can be viewed as a generalization of the Meyer class of wavelets to the biorthogonal case.
Keywords :
Fourier transforms; filtering theory; signal processing; wavelet transforms; Meyer wavelets; bandlimited dual wavelet pairs; biorthogonal decomposition; biorthogonal generalization; scaling functions; symmetric dual wavelet pairs; wavelet Fourier transforms; Convolution; Digital filters; Discrete wavelet transforms; Equations; Fourier transforms; Frequency response; Image reconstruction; Mesh generation; Pattern analysis; Signal analysis;
Conference_Titel :
Signals, Systems & Computers, 1997. Conference Record of the Thirty-First Asilomar Conference on
Conference_Location :
Pacific Grove, CA, USA
Print_ISBN :
0-8186-8316-3
DOI :
10.1109/ACSSC.1997.679102
