Title :
Design and implementation of wavelet packet-based filter bank trees for multiple access communications
Author :
Sablatash, Mike ; Cooklev, Todor ; Lodge, John
Author_Institution :
Commun. Res. Centre, Ottawa, Ont., Canada
Abstract :
The relationship of filter bank trees to wavelet packet trees for subspaces, decimation operators, and coordinates of the projections of a function onto the subspaces is briefly explained. Two designs for the filter banks are summarized and the equations for the designs are provided. For one of these the prototype filters are all the same, and for the other they are the same at each level of the tree. The best method for spectral factorization of high-order polynomials, needed for the filter designs, is selected. Lattice structures preserving perfect reconstruction with finite word lengths are used in computer simulations to study quantization effects
Keywords :
band-pass filters; filtering theory; matrix decomposition; multi-access systems; polynomials; quantisation (signal); trees (mathematics); wavelet transforms; computer simulations; decimation operators; filter bank trees; filter designs; finite word lengths; function projections coordinates; high-order polynomials; implementation; lattice structures; multiple access communications; perfect reconstruction; prototype filters; quantization effects; spectral factorization; subspaces; wavelet packet trees; Equations; Filter bank; Frequency synthesizers; Lattices; Mirrors; OFDM; Prototypes; Quantization; Wavelet analysis; Wavelet packets;
Conference_Titel :
Communications, 1997. ICC '97 Montreal, Towards the Knowledge Millennium. 1997 IEEE International Conference on
Conference_Location :
Montreal, Que.
Print_ISBN :
0-7803-3925-8
DOI :
10.1109/ICC.1997.605191
