Design of perfect reconstruction modulated filter banks with arbitrarily high number of subbands

We propose a design method for perfect reconstruction modulated filter banks that can be used for an arbitrarily high number of subbands. Its principle is based on the introduction of a function, named prototype, that is defined over the real field and is built in order to satisfy orthogonality or biorthogonality properties. By a uniform sampling of the prototype function, depending upon the number of subbands, we get afterwards perfect reconstruction prototype filters. The method is presented in the case of an optimization of the prototype function based on an energy criterion. The quality of the resulting prototype filters is illustrated by design examples in the orthogonal case.