A new realization method for multidimensional GIC digital filters

Design of Two-Dimensional Pseudorotated Digital Filters Using Concept of Generalized Immittance Converter

“…The 2D transfer function of equation (5) can be realized by a filter structure that makes use of GIC and adaptor modules as building blocks [7], [10]. A GIC module represents the digital realization of a 2-port analog GIC network [1], [3].…”

“…A PA (SA) module represents the digital realization of a 3-port parallel (series) interconnection [2]. Each GIC module is associated with a term called the digital conversion function (DCF), denoted as h. In the realization reported in [7], h assumes a value of either z i or z −1…”

“…The 2D pseudorotated first-order transfer function of equation (3) can be realized by any one of the four types of GIC filter structures 'CGIC-PA, CGIC-SA, VGIC-PA, and VGIC-SA' by using the realization procedure reported in [7], [10]. One possible set of h ν values obtained for the GIC filter structures by using the procedure of [7], [10] is given below.…”

“…One possible set of h ν values obtained for the GIC filter structures by using the procedure of [7], [10] is given below.…”

“…For brevity, only two types of structures, the CGIC-PA and CGIC-SA structures, are shown in Figures 1 and 2. The multiplier values used in these filter structures can be obtained by making use of the procedure reported in [7], [10], and they are shown in Tables 1 and 2. The constants a i and b i in Tables 1 and 2 represent the inverse bilinear transform (IBT) coefficients of α i and β i , and their values for a 2D pseudorotated first order case are shown in Table 3.…”