Mathematics-driven design

This paper presents an untypical circuit design philosophy. The starting point is not the circuit diagram as done in most conventional designs. Instead, it is the mathematical formulae, related to the required electronic function, that get manipulated and thus lead to circuit diagrams as the end result. The importance of the proposed design philosophy is illustrated via examples covering the creation of new block diagrams and circuit diagrams from scratch, and the modification of already existing circuits to improve the performance or achieve simpler hardware. The paper thus turns up-side-down the concept of circuit diagrams followed by mathematical analysis and design to present mathematical deduction followed by circuit diagrams, a research concept which is useful in the design of many analog circuit applications