Title :
Formal Synthesis of Circuits With Minimum Noise Figure Using Linear Matrix Inequalities
Author :
Harrison, Jeffrey
Author_Institution :
G2 Microsystems, Inc, Sydney, NSW
fDate :
4/1/2007 12:00:00 AM
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;
Journal_Title :
Circuits and Systems I: Regular Papers, IEEE Transactions on
DOI :
10.1109/TCSI.2006.888773
