Optimization of Pulse and Digital Circuits by Use of the Lagrange Multiplier Technique

Equations are derived for the optimal design of a frequency divider circuit, and optimal design equations are presented for other typical pulse circuits: a timing circuit, a gating circuit and a clipping circuit. The Lagrange Multiplier Technique used in this paper has also been applied successfully for the optimal design of switching amplifiers [1]. For each of the circuits considered, the reliability and the performance of the circuit are enhanced by adjusting circuit elements so as to maximize or minimize a specified variable of the circuit when the circuit is in one of its several states; when in other of its states, however, the circuit is required to perform in accordance with specified relationships which act as constraints on the optimization procedure.