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

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1 Author(s)
Harrison, J. ; G2 Microsystems, Inc, Sydney, NSW

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

Published in:

Circuits and Systems I: Regular Papers, IEEE Transactions on  (Volume:54 ,  Issue: 4 )