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Relation between filter banks and wavelets

Started by Unknown March 8, 2006
How wavelets and filter banks are related? Why we use the second in
order to implement the first? 

thank you

leonadavinci@gmail.com wrote:
> How wavelets and filter banks are related? Why we use the second in > order to implement the first?
In "A theory for multiresolution signal decomposition: the wavelet representation." _IEEE Trans. On Pat. Rec. and Mach. Intel._, 11(7):674-693, July 1989, Stephen Mallat demonstrated the equivalence of wavelet bases and conjugate mirror filters used in discrete, multirate filter banks. He called a wavelet-based filter bank a multiresolution analysis (MRA). Mallat's contribution made wavelets a practical tool rather than just a theoretical one. Cheers! --M