Log-domain filtering and the Bernoulli cell

Author

Drakakis, Emmanuel Michael ; Payne, Alison J. ; Toumazou, Chris

Author_Institution

Dept. of Electr. & Electron. Eng., Imperial Coll. of Sci., Technol. & Med., London, UK

Volume

46

Issue

5

fYear

1999

fDate

5/1/1999 12:00:00 AM

Firstpage

559

Lastpage

571

Abstract

In this paper, the dynamic behavior of a nonlinear circuit element termed a Bernoulli cell is described, which is composed of a suitably biased bipolar junction transistor (BJT) and an emitter connected grounded capacitor. This cell has application in the synthesis of log-domain filters, since it facilitates the development of a low-level design approach in which a frequency-domain transfer function is decomposed into time-domain current product equalities that can be implemented by direct use of the translinear principle (TLP). Furthermore, the dynamic of a log-domain structure can be analyzed and its frequency response can be easily derived when the embedded Bernoulli cells are identified. An analysis and a synthesis example are presented

Keywords

active filters; bipolar transistor circuits; nonlinear network synthesis; Bernoulli cell; bipolar junction transistor; capacitor; dynamics; frequency response; frequency-domain transfer function; log-domain filter; low-level design; nonlinear circuit element; time-domain current product equality; translinear circuit; Bipolar transistor circuits; Capacitors; Circuit synthesis; Filtering; Filters; Frequency domain analysis; Frequency response; Nonlinear circuits; Time domain analysis; Transfer functions;

fLanguage

English

Journal_Title

Circuits and Systems I: Fundamental Theory and Applications, IEEE Transactions on

Publisher

ieee

ISSN

1057-7122

Type

jour

DOI

10.1109/81.762921

Filename

762921