A new realization of wave digital filters using GIC and fractional bilinear transform

Abstract

In this paper, a new class of second-order digital filters is developed by using the concept of wave characterization, fractional bilinear transform and generalized immittance converter (GIC). These second-order digital filter sections are used as building blocks in cascade synthesis. During the realization procedure, fractional bilinear transform is utilized for analog to digital conversion to get more competent digital filter sections. The noise performance of the proposed filter sections is compared with that of already known GIC second order digital filter sections. The proposed synthesis yields lowpass and highpass filters with ameliorated signal to noise ratio in comparison to that of the conventional GIC digital filters.

Keywords

• Digital filter
• Fractional bilinear transform
• Generalized immittance converter
• Wave equations