An Analytical Design of a Complex Coefficient Transfer Function with Flat Passband Characteristics and Finite Transmission Zeros at Two Frequencies

Abstract

In this paper, an analytical design of a complex coefficient transfer function with flat passband characteristics and finite transmission zeros at two frequencies is proposed. The transfer function obtained from the proposed method has multiple finite transmission zeros at D. C. and another frequency. A transfer function obtained through the conventional method can also be obtained by using the proposed method. In other words, the proposed method includes the conventional method when the complex transfer function with flat passband characteristics is designed. The transfer function obtained from the special case of the proposed squared characteristic function can be realized as complex RⁱCR filters. The validity of the proposed method is confirmed through computer simulation.