This book describes the design and realization of analog fractional-order circuits, which are suitable for on-chip implementation, capable of low-voltage operation and electronic adjustment of their characteristics. The authors provide a brief introduction to fractional-order calculus, followed by design issues for fractional-order circuits of various orders and types. The benefits of this approach are demonstrated with current-mode and voltage-mode filter designs. Electronically tunable emulators of fractional-order capacitors and inductors are presented, where the behavior of the corresponding chips fabricated using the AMS 0.35um CMOS process has been experimentally verified. Applications of fractional-order circuits are demonstrated, including a pre-processing stage suitable for the implementation of the Pan-Tompkins algorithm for detecting the QRS complexes of an electrocardiogram (ECG), a fully tunable implementation of the Cole-Cole model used for the modeling of biological tissues, and a simple, non-impedance based measuring technique for super-capacitors.
Georgia Tsirimokou received B.Sc. degree in Physics and M.Sc. degree in Electronics and Communications from the University of Patras, Greece, in 2011 and 2013, respectively. She is currently a PhD candidate working with the analog Integrated Circuits Design group of the Electronics Laboratory, Department of Physics, University of Patras, Greece. Her main research interests are focused on the design of ultra-low voltage analog signal processing blocks, including fractional-order filters as well as circuits for biomedical applications.
Costas Psychalinos received his B.Sc. and Ph.D. degrees in Physics and Electronics from the University of Patras, Greece, in 1986 and 1991, respectively. From 1993 to 1995, he worked as Post-Doctoral Researcher in the VLSI Design Laboratory, University of Patras. From 1996 to 2000, he was an Adjunct Lecturer in the Department of Computer Engineering and Informatics, University of Patras. From 2000 to 2004 he served as Assistant Professor in the Electronics Laboratory, Department of Physics, Aristotle University of Thessaloniki, Greece. From 2004 he serves as faculty member in the Electronics Laboratory, Department of Physics, University of Patras, Greece and, currently, he is full Professor. His research area is in the continuous and discrete-time analog filtering, including fractional-order filters, companding filters, current amplifier filters, CCII and CFOA filters, and sampled-data filters, and in the development of ultra-low voltage building blocks for biomedical applications. He serves as Area Editor of the International Journal of Electronics and Communications (AEU) Journal, and Associate Editor of the Circuits Systems and Signal Processing Journal. He is member of the Editorial Board of the Analog Integrated Circuits and Signal Processing Journal, and Microelectronics Journal. He is also an IEEE Senior Member.
Ahmed Elwakil was born in Cairo, Egypt. He received the B.Sc. and M.Sc. degrees from the Department of Electronics and Communications at Cairo University, Cairo, Egypt and the Ph.D. degree from the Department of Electrical and Electronic Engineering, National University of Ireland, University College Dublin. His research interests are primarily in the areas of Circuit Theory, Nonlinear Dynamics, Chaos Theory, as well as Fractional-Order Circuits and Systems with diverse applications ranging from the modeling of oscillatory networks and nonlinear electronic circuits to energy devices and bio-materials. He is the author and co-author of over 185 publications in these areas. He has served as a reviewer, review committee member and organizing committee member for many conferences including ISCAS, NOLTA, ICECS, ECCTD, ICM, NDES and ISSPA and currently serves as an Associate Editor for the Int. J. of Circuit Theory and Applications (Wiley) and was a past Editor of this journal. He is also an Associate Editor of the Int. J. Bifurcation & Chaos, (World Scientific) and the Journal of Nonlinear Theory and its Applications (NOLTA), published by the Institute of Electronics, Information and Communication Engineers of Japan (IEICE-Japan) and was a past Associate Editor for the J. of Dynamics of Continuous, Discrete and Impulsive Systems: Series-B, published by the American Institute of Mathematical Sciences (AIMS) and is currently on the Editorial Board of the IEEE J. Emerging and Selected Topics in Circuits and Systems.
Prof. Elwakil has been a member of the IEEE Technical Committee on Nonlinear Circuits and Systems (TCNCAS) since 2003 and was a Lead Guest Editor for the IEEE J. of Emerging and Selected Topics in Circuits & Systems, special issue on fractional-order circuits and systems (Sep. 2013) and a Guest Editor for a special issue on Chaos-Fractals Theories and Applications published in the J. of Mathematical Problems in Engineering, 2014. He is also the guest editor for a special issue on Fractional-Order Circuits (June 2016) in the J. Circuits Systems & Signal Processing (Springer). He received the Egyptian Government first class medal for achievements in Engineering Sciences in 2003, 2009 and 2015 respectively and was a visiting Professor/Researcher at Istanbul Technical University (Istanbul, Turkey), University of Calgary (Alberta, Canada), Queens University (Belfast, UK), Technical University of Denmark (Lyngby, Denmark), Ohio State University (Columbus, Ohio), University College Cork (Cork, Ireland), King Abdullah University of Science and Technology (KAUST, Saudi Arabia) and Nile University (Cairo, Egypt). He is currently an Adjunct Prof. in the Nano-electronics Integrated Systems Center at Nile University, Egypt.
