Realization of multidimensional GIC digital filters

A realization method for multidimensional Nth-order infinite-impulse-response (IIR) digital filters is proposed. A systematic procedure is presented for synthesizing analog reference networks comprising generalized immittance converters, and resistors, which realize M-variable Nth-order transfer functions. 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, distinct from the class of wave digital filters derived from doubly terminated LC networks. The realization method is general and relatively simple to apply, and leads to some interesting structures including structures with multiple outputs