Multi-dimensional wave digital filters based on the concept of the GIC

Abstract

A new realization method for multidimensional, Nth-order, infinite impulse-response digital filters is proposed. For this purpose, analog reference networks comprising generalized immittance converters and resistors, which realize multivariable, Nth-order transfer functions, are first obtained. Digital-filter structures are then derived from these reference networks using the wave characterization. The proposed structures are canonic with respect to the number of multipliers and constitute a new class of multidimensional wave digital filters that is distinct from the class of wave digital filters derived from doubly terminated LC networks. The realization method is general, is relatively simple to apply, and leads to some interesting structures including structures with multiple outputs. >