Applications of fractional order elements and mem-elements in electronic circuits /
Nariman Abdo Khalil Hussein
Applications of fractional order elements and mem-elements in electronic circuits / تطبيقات العناصر الكسرية والعناصر التخزينية الكسرية فى الدوائر الإلكترونية Nariman Abdo Khalil Hussein ; Supervised Ahmed Mohamed Soliman , Ahmed Gomaa Radwan , Lobna Ahmed Said - Cairo : Nariman Abdo Khalil Hussein , 2020 - 186 P. : charts , facsimiles ; 30cm
Thesis (Ph.D.) - Cairo University - Faculty of Engineering - Department of Electronics and Communications
This work aims to apply the fractional-order elements and mem-elements in analog circuit design. A general prototype fractional-order lter based on a two-port network concept with four external impedances is investigated. Ten possible generalized topologies are introduced where the necessary network conditions and the critical frequencies are presented. Besides, a generalized prototype topology of fractional order inverse lters (FOIF) is presented based on operational trans-resistance ampliers and second-generation current conveyor.The fractional-order parameters increase design exibility and controllability, which is validated experimentally.The fractional-order systems are extended to memristive element modeling. The realization of grounded and oating fractional-order mem-elements (FOMEs) using the generalized emulator.Two- and three-port mutators are used to realize different FOMEs employing dierent combinations of impedances.The FOMEs are applied to Chau's circuit showing the effect of fractional-order on the chaotic behavior. Circuit simulations and experimental results for the presented circuits are introduced to validate the theoretical ndings
Fractional filter and inverse filter Fractional order elements emulator Fractional order memelements emulator
Applications of fractional order elements and mem-elements in electronic circuits / تطبيقات العناصر الكسرية والعناصر التخزينية الكسرية فى الدوائر الإلكترونية Nariman Abdo Khalil Hussein ; Supervised Ahmed Mohamed Soliman , Ahmed Gomaa Radwan , Lobna Ahmed Said - Cairo : Nariman Abdo Khalil Hussein , 2020 - 186 P. : charts , facsimiles ; 30cm
Thesis (Ph.D.) - Cairo University - Faculty of Engineering - Department of Electronics and Communications
This work aims to apply the fractional-order elements and mem-elements in analog circuit design. A general prototype fractional-order lter based on a two-port network concept with four external impedances is investigated. Ten possible generalized topologies are introduced where the necessary network conditions and the critical frequencies are presented. Besides, a generalized prototype topology of fractional order inverse lters (FOIF) is presented based on operational trans-resistance ampliers and second-generation current conveyor.The fractional-order parameters increase design exibility and controllability, which is validated experimentally.The fractional-order systems are extended to memristive element modeling. The realization of grounded and oating fractional-order mem-elements (FOMEs) using the generalized emulator.Two- and three-port mutators are used to realize different FOMEs employing dierent combinations of impedances.The FOMEs are applied to Chau's circuit showing the effect of fractional-order on the chaotic behavior. Circuit simulations and experimental results for the presented circuits are introduced to validate the theoretical ndings
Fractional filter and inverse filter Fractional order elements emulator Fractional order memelements emulator