Realization of Multidimensional GIC Digital Filters

A new realization method for multidimensional Nth-order infinite impulse-response digital filters is proposed. First, systematic procedure for synthesizing analog reference networks comprising generalized immittance converters, and resistors, which realize M-variable Nth-order transfer functions, is presented. 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, relatively simple to apply, and leads to some interesting structures, including structures with multiple outputs. © 1990 IEEE