Stability of a continuous-time state variable filter with ORA-L and current amplifier integrators

Author

Bakken, T. ; Choma, J., Jr.

Author_Institution

Dept. of Electr. Eng. & Electrophys., Univ. of Southern California, Los Angeles, CA, USA

Volume

3

fYear

1998

Firstpage

643

Abstract

The stability of a continuous-time state variable filter is analyzed using the Routh-Hurwitz criterion. This criterion assesses stability by indicating the number of poles that lie in the right-half plane. The filter is examined separately with integrators implemented with an ORA-L and a current amplifier. Both amplifier types are characterized by a dominant-pole frequency response, and the stability of each implementation is compared. HSPICE simulations confirm the theoretical analyses, which indicate that the bandwidth of the ORAs and current amplifiers must be much larger than the desired frequency of operation to ensure stability. Since the analyses assume a dominant-pole response, all higher-order poles of the actual amplifier must also be much greater than the unity-gain frequency to minimize excess phase

Keywords

Routh methods; SPICE; circuit analysis computing; circuit stability; continuous time filters; digital simulation; frequency response; integrating circuits; poles and zeros; HSPICE simulations; ORA-L; Routh-Hurwitz criterion; continuous-time state variable filter; current amplifier integrators; dominant-pole frequency response; excess phase; higher-order poles; poles; stability criterion; Active filters; Analytical models; Band pass filters; Bandwidth; Circuit stability; Frequency response; Operational amplifiers; Stability analysis; Stability criteria; Voltage;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 1998. ISCAS '98. Proceedings of the 1998 IEEE International Symposium on

Conference_Location

Monterey, CA

Print_ISBN

0-7803-4455-3

Type

conf

DOI

10.1109/ISCAS.1998.704094

Filename

704094