Formal Synthesis of Circuits With Minimum Noise Figure Using Linear Matrix Inequalities

Author

Harrison, Jeffrey

Author_Institution

G2 Microsystems, Inc, Sydney, NSW

Volume

54

Issue

4

fYear

2007

fDate

4/1/2007 12:00:00 AM

Firstpage

855

Lastpage

862

Abstract

We present an algorithm that determines whether an n-port with given impedance matrix at a set of frequencies can be realised from ideal transformers and multiple instances of a set of linear, time-invariant components (specified by their admittance parameters). The algorithm is based on solving a linear matrix inequality derived using Tellegen´s theorem. If the n-port can be realised, the noise figure can be minimized by a choice of cost function that is described. We use as an example an amplifier using realistic RF CMOS components

Keywords

CMOS integrated circuits; amplifiers; circuit noise; impedance matrix; linear matrix inequalities; network synthesis; radiofrequency integrated circuits; transformers; RF CMOS components; Tellegen´s theorem; admittance parameters; amplifier; circuit formal synthesis; circuit noise; circuit synthesis; ideal transformers; impedance matrix; linear circuits; linear matrix inequalities; noise figure; noise optimization; performance bounds; quadratic programming; semidefinite programming; time-invariant components; Admittance; Circuit noise; Circuit synthesis; Frequency; Impedance; Linear matrix inequalities; Noise figure; Sparse matrices; Transformers; Voltage; Circuit noise; Tellegen´s theorem; circuit synthesis; formal synthesis; ideal transformers; linear circuits; linear matrix inequalities (LMIs); noise optimization; performance bounds; quadratic programming; semidefinite programming; transforms;

fLanguage

English

Journal_Title

Circuits and Systems I: Regular Papers, IEEE Transactions on

Publisher

ieee

ISSN

1549-8328

Type

jour

DOI

10.1109/TCSI.2006.888773

Filename

4155031