NEW TECHNIQUE FOR DESIGN OF 2-CHANNEL FIR PARAUNITARY

In this paper we obtain a new parameterization of all FIR paraunitary two-channel filter banks. Unlike other approaches which make use of a lattice structure or a cascade algorithm, we show that our technique provides a direct explicit expression of all FIR orthogonal filters, with no need of iteration procedures. Thus, in order to design a L-tap 2-channel paraunitary filterbank, it suffices to choose L/2 independent parameters, and introduce them in a simple expression which provides the filter coefficients directly. Some examples illustrate how this new approach can be used for designing filters with certain desired properties