About cookies on this site Our websites require some cookies to function properly (required). In addition, other cookies may be used with your consent to analyze site usage, improve the user experience and for advertising. For more information, please review your options. By visiting our website, you agree to our processing of information as described in IBM’sprivacy statement. To provide a smooth navigation, your cookie preferences will be shared across the IBM web domains listed here.
Publication
ICASSP 1996
Conference paper
Modulated filter banks and wavelets - a general unified theory
Abstract
This paper generalizes and unifies well-known results on modulated filter banks (MFBs) and modulated wavelet tight frames (MWTFs). It classifies MFBs based on the discrete cosine or sine transforms that they are associated with. By proper choice of the form of modulation the PR perfect reconstruction (PR) conditions are seen to be (surprisingly) identical for all classes of MFBs. This has the interesting consequence that optimal MFB prototype designs can be shared across MFB classes. For some classes of MFBs associated MWTFs do not exist, while for others they do. The results cover both orthogonal and biorthogonal MFBs; and the filters could be arbitrary sequences in l2(Z).