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

Abstract

A new realization procedure based on the concept of the generalized immittance converter (GIC) is proposed for two-dimensional (2D) pseudorotated digital filters that have circularly symmetric magnitude response characteristics. By applying a suitable transformation to a one-dimensional stable discrete transfer function, the 2D discrete transfer function of the corresponding pseudorotated filter is obtained. This transfer function is then realized by using a direct computer-based method. It is shown that four types of GIC pseudorotated filter structures can be obtained by interconnecting a few specific types of digital modules. The modularity and regularity nature of these filters make them attractive for very large-scale integration implementation.

Design of Stable Circularly Symmetric Two-Dimensional GIC Digital Filters Using PLSI Polynomials

“…It is known that the 1D and MD digital filters designed by using the concept of GIC have many salient features such as low noise, low sensitivity, modularity, and absence of limit cycles [8,9,15,16]. The GIC digital filters are basically wave digital filters derived from reference analog configurations comprising GICs and resistors [15].…”

“…The GIC digital filters are basically wave digital filters derived from reference analog configurations comprising GICs and resistors [15]. The method reported in [9,16] can be used to realize 2D GIC digital filters directly from the given discrete transfer functions without the need for obtaining the analog reference configurations. The GIC digital filter structures which realize the transfer functions of (7) and (9) are shown in Figures 1 and 2, respectively, [9].…”

“…The method reported in [9,16] can be used to realize 2D GIC digital filters directly from the given discrete transfer functions without the need for obtaining the analog reference configurations. The GIC digital filter structures which realize the transfer functions of (7) and (9) are shown in Figures 1 and 2, respectively, [9]. These filter structures make use of two types of modules known as current conversion GIC and parallel adaptors [9,15,16].…”

“…The GIC digital filter structures which realize the transfer functions of (7) and (9) are shown in Figures 1 and 2, respectively, [9]. These filter structures make use of two types of modules known as current conversion GIC and parallel adaptors [9,15,16]. The multiplier constants m υ and k υ of Figures 1 and 2 can be determined by using the procedure reported in [9,16].…”

“…To overcome this problem, a new type of rotated filters known as pseudorotated filters has been proposed in [7]. Methods for realizing rotated and pseudorotated digital filters by using the concept of generalized immittance converter (GIC) have been reported in [8,9].…”