Title :
Time-varying filter banks and multiwavelets
Author :
Vetterli, M. ; Strang, G.
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., California Univ., Berkeley, CA, USA
Abstract :
A wavelet construction by Geronimo, Hardin and Massopust uses more than one wavelet and scaling function. Strang and Strela gave a filter bank interpretation of that result, as well as a condition for moment properties of the resulting wavelets. The present authors are concerned with the regularity of the resulting iterated filter bank scheme, that is, a matrix extension of the classic result by Daubechies (1988) on iterated filters. They show in particular: (i) the relation between time-varying filter banks and multiwavelets, (ii) the construction of multiwavelets as limits of iterated time-varying filter banks, (iii) a necessary condition for the convergence of the iterated matrix product and (iv) an exploration of examples of multiwavelets as iterations of time-varying filter banks
Keywords :
convergence of numerical methods; digital filters; iterative methods; matrix algebra; time-varying filters; wavelet transforms; convergence; iterated filter bank scheme; iterated filters; iterated matrix product; matrix extension; multiwavelets; time-varying filter banks; wavelet construction; Channel bank filters; Convergence; Equations; Filter bank; Finite impulse response filter; Interpolation; MIMO; Mathematics; Nonlinear filters; Transfer functions;
Conference_Titel :
Digital Signal Processing Workshop, 1994., 1994 Sixth IEEE
Conference_Location :
Yosemite National Park, CA
Print_ISBN :
0-7803-1948-6
DOI :
10.1109/DSP.1994.379836
