Two channel filter banks (FBs) were developed for subband speech coding. Since then, FB theory has grown to include FBs with more than two channels and tree-structured FBs. A rich theory for the design and implementation of FBs exists. Wavelets were originally developed as an alternative to the STFT for non-stationary signal analysis. Since then it has been realized that this is one of several techniques for decomposition of non-stationary signals into time-frequency (TF) atoms. FBs and these TF decompositions (one discrete-time and the other continuous-time) are closely related theoretically and practically. This relationship is explored. >
['Ramesh A. Gopinath', 'C.S. Burrus']
A tutorial overview of filter banks, wavelets and interrelations