Statistical Optimization of Circuit Design

Summary

In this paper the possibility of a statistical approach to the optimum design problem for a given circuit topology is considered.Given a merit figure η depending on the circuit properties, it is attempted to find out that component specification for which $\mathop \eta \limits^ \wedge$ is maximum under the following conditions:

$${\mathop \varphi \limits^ \wedge _j} \leqslant {\mathop \varphi \limits^ - _j}\quad (j = 1,2, \ldots \ldots )$$

where $\mathop \eta \limits^ \wedge$ and ${\mathop \varphi \limits^ \wedge _j}$ are defined by

$$prob.(\eta \leqslant \mathop \eta \limits^ \wedge ) = \mathop {\rm P}\limits^ - $$

$$prob.({\varphi _j} \geqslant \mathop {{\varphi _j}}\limits^ \wedge ) = {\mathop {\rm P}\limits^ - _j}$$

,${\mathop \varphi \limits^ - _j}$,$\mathop {\rm P}\limits^ -$ and ${\mathop {\rm P}\limits^ - _j}$. being preassigned. The method proposed for the optimization is then applied to a logical network realized by “NOR” modules, and the results are reported.