Active RC Networks

If all available amplifying devices can be approximated by linear models with capacitive, terminal, energy storage, there are bounds on the allowed natural frequencies of circuits constructed from these devices. These bounds are readily determined from the eigenvalues of a frequency matrix and can be related to the maximum power that can be dissipated by the device per unit energy stored in the terminal capacity. Synthesis of unilateral and constant- amplifiers is considered, and concepts such as the gain-bandwidth product and the maximum frequency of oscillation are related to the bounds on allowed natural frequencies.