title: CCII based fractional filters of different orders.
abstract: This paper aims to generalize the design of continuous-time filters to the fractional domain with different orders and validates the theoretical results with two different CCII based filters. In particular, the proposed study introduces the generalized formulas for the previous fractional-order analysis of equal orders. The fractional-order filters enhance the design flexibility and prove that the integer-order performance is a very narrow subset from the fractional-order behavior due to the extra degrees of freedom. The general fundamentals of these filters are presented by calculating the maximum and minimum frequencies, the half power frequency and the right phase frequency which are considered a critical issue for the filter design. Different numerical solutions for the generalized fractional order low pass filters with two different fractional order elements are introduced and verified by the circuit simulations of two fractional-order filters: Kerwin-Huelsman-Newcomb (KHN) and Tow-Tomas CCII-based filters, showing great matching.
authors: Electronics and Communications Engineering Department, Faculty of Engineering, Fayoum University, Egypt.
authors: Ahmed
authors: A
authors: Soltan
authors: Engineering Mathematics Department, Faculty of Engineering, Cairo University, Egypt.
authors: Ahmed G
authors: AG
authors: Radwan
authors: Electronics and Communications Engineering Department, Faculty of Engineering, Cairo University, Egypt.
authors: Ahmed M
authors: AM
authors: Soliman
keywords: Fractance; Fractional-order filter; KHN filter; Tow-Tomas filter