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This chapter presents the optimal design of Low Noise Amplifiers (LNAs). The basic idea consists of optimizing performances of LNAs by a direct action on the scattering parameters. A symbolic approach, namely the Coates Flow-Graph technique, is used to automatically generate symbolic expressions of the impedance parameters and, thus, those of the scattering parameters. The Simulated Annealing optimization technique is applied to determine the optimal sizing of the LNA. ADS simulation results are given to show the viability of the proposed approach.