Computational Structures of Multirate Filter Banks

摘要

We have created new tools for (1) Developing a formalism in terms of shift andstride permutation operators and scalable tensor product kernels for modeling complex networks of multirate filter systems and an algebra for automatic manipulation of fundamental parameters including network topologies. (2) Applying new mathematical tools to the theory of multidimensional multirate filter structure which bring out the fundamental role played by direct sum decompositions and short exact sequences and permit a unified treatment of both