Relation between filter banks and wavelets

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