Title :
A study of two-channel complex-valued filterbanks and wavelets with orthogonality and symmetry properties
Author :
Gao, Xiqi Q. ; Nguyen, Truong Q. ; Strang, Gilbert
Author_Institution :
Dept. of Math., MIT, Cambridge, MA, USA
fDate :
4/1/2002 12:00:00 AM
Abstract :
We investigate two-channel complex-valued filterbanks and wavelets that simultaneously have orthogonality and symmetry properties. First, the conditions for the filterbank to be orthogonal, symmetric, and regular (for generating smooth wavelets) are presented. Then, a complete and minimal lattice structure is developed, which enables a general design approach for filterbanks and wavelets with arbitrary length and arbitrary order of regularity. Finally, two integer implementation methods that preserve the perfect reconstruction property of the filterbank are proposed. Their performances are evaluated via experimental results
Keywords :
channel bank filters; lattice filters; wavelet transforms; design approach; integer implementation methods; lattice structure; orthogonality properties; perfect reconstruction property; regularity; symmetry properties; two-channel complex-valued filterbanks; wavelets; Design methodology; Finite impulse response filter; Information filtering; Information filters; Lattices; Mathematics; Nonlinear filters; Performance evaluation; Quadrature amplitude modulation; Radar;
Journal_Title :
Signal Processing, IEEE Transactions on
