Synthesis of Nonlinear Analog Functions

Abstract

In this paper, a systematic and hierarchical synthesis methodology is presented for nonlinear analog synthesis to meet the essential requirement for system automation. Behavior of nonlinear system, represented by polynomial expression, has been studied by decomposing it into linear and nonlinear sub-expression. Such sub-expressions are realized with basic building block like multiplier, adder, quadratic, etc., each of which can be represented as a network of the current mode device, operational transconductance amplifier (OTA). Polynomial series is used to represent various important functions in signal processing applications. Few nonlinear functions with their OTA representation are discussed as the applications of polynomial series. The response of all the circuits are studied through SPICE simulation validating the proposed methodology.