Bilinear Double-Order Filter Designs and Application Examples

Bilinear Double-Order Filter Designs and Application Examples

WoS Article

A novel kind of non-integer order bilinear filters, named double-order bilinear filters, is introduced in this work. They are based on the employment of two non-integer orders, offering the maximum design flexibility in comparison with their fractional-order and power-law counterparts. An attractive offered benefit is that this is achieved without increasing the circuit complexity, since the proposed structure is capable of realizing all non-integer kinds of filters. Two design examples are provided, where it is shown that lead/lag compensators utilized in control applications and low/high shelving filters employed in acoustic applications are actually bilinear filters with suitably selected pole/zero frequencies. Simulation and experimental results, using the OrCAD PSpice simulator and a Field Programmable Analog Array device, respectively, support the findings of this work.

A novel kind of non-integer order bilinear filters, named double-order bilinear filters, is introduced in this work. They are based on the employment of two non-integer orders, offering the maximum design flexibility in comparison with their fractional-order and power-law counterparts. An attractive offered benefit is that this is achieved without increasing the circuit complexity, since the proposed structure is capable of realizing all non-integer kinds of filters. Two design examples are provided, where it is shown that lead/lag compensators utilized in control applications and low/high shelving filters employed in acoustic applications are actually bilinear filters with suitably selected pole/zero frequencies. Simulation and experimental results, using the OrCAD PSpice simulator and a Field Programmable Analog Array device, respectively, support the findings of this work.

Information filters; Nonlinear filters; Maximum likelihood detection; Behavioral sciences; Poles and zeros; High frequency; Field programmable analog arrays; Filters; Analog filters; bilinear filters; compensators; curve-fitting approximation; field programmable analog array; fractional-order filters; power-law filters; shelving filters

Information filters; Nonlinear filters; Maximum likelihood detection; Behavioral sciences; Poles and zeros; High frequency; Field programmable analog arrays; Filters; Analog filters; bilinear filters; compensators; curve-fitting approximation; field programmable analog array; fractional-order filters; power-law filters; shelving filters

NAKO, J.; PSYCHALINOS, C.; KHATEB, F.; ELWAKIL, A. S.

2025

22.01.2024

IEEE

PISCATAWAY

2169-3536

IEEE Access

12

January

United States of America

14040

14049

10

https://ieeexplore.ieee.org/document/10411878

http://hdl.handle.net/11012/245220

Bilinear Double-Order Filter Designs and Application Examples