Design and Analysis of Electrical Circuits that Produce Fractional-Order Differentiation

Two half-order differentiator circuit designs were investigated and their electrical performance evaluated Oldham and Oldfield. Initially, each circuit design was computer modelled and simulated using the HSPICE computer analysis program. Then, each circuit design Oldham and Oldfield was fabricated with two different component technologies. This resulted in four circuits, realized on printed circuit boards, to be evaluated--Oldham discrete component Oldham hybrid component Oldfield discrete component and Oldfield surface mount component. The characterizations of each circuits electrical performance is documented with time, phase, gain, noise and spectrum responses. A comparison of each circuits performance versus the design criteria and computer model performance is presented. Based upon the comparison of the circuits electrical performances, the circuits were rank ordered as follows 1. Oldham integrated chip technology hybrid component circuit design 2. Oldham discrete component circuit design 3. Oldfield surface mount component circuit design 4. Oldfield discrete component design. Electrical Circuits, Fractional Calculus, Very Large Scale Integration, Printed Circuit Boards, Half-Order Differentiation