Multiple amplifier matching over lumped networks of arbitrary topology

摘要

A method includes generating at least one matrix representing a two-port, generating gain, noise, and stability functions of a system comprising the two-port, a generator connected to one port of the two-port, the generator having a generator reflectance, and a load connected to the other port of the two-port, the load having a load reflectance, and optimizing the gain, noise, and stability functions. The two-port comprises a non-reactive multi-port modeled by an orthogonal matrix, and at least one amplifier connected to the non-reactive multi-port. The orthogonal matrix is parameterized using an exponential map of skew-symmetric matrices having components restricted to an interval from −π to π. The gain, noise, and stability functions are generated using the generated matrix, the generator reflectance, and the load reflectance, The gain, noise, and stability functions are parameterized by the skew-symmetric matrices.