Cell-Based Synthesis of Multiple Analog Filter and Oscillator Topologies Employing Graph

A new synthesis methodology, which offers design harmony of multiple analog filter and oscillator topologies is presented. Vertices of a bipartite graph are defined with simple mathematical function, denoted as cell. Weight of the edges are denoted by relation operator. A general theory has been developed based on graph and a set of traversal rules conjugated with cell, to produce multiple number of second-order function (SOF) in terms of cells. Theoretical approach has been facilitated with operational transconductance amplifier (OTA)-based circuit realization of multiple filter and oscillator topologies, and abridged with algorithm, which may lead to virtual EDA tool and field programmable analog array (FPAA). The proposed synthesis approach is validated with SPICE simulation.