tailieunhanh - CCII based fractional filters of different orders

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. | Journal of Advanced Research 2014 5 157-164 Cairo University Journal of Advanced Research ORIGINAL ARTICLE CCII based fractional filters of different orders CrossMark Ahmed Soltan a Ahmed G. Radwan b Ahmed M. Soliman c a Electronics and Communications Engineering Department Faculty of Engineering Fayoum University Egypt b Engineering Mathematics Department Faculty of Engineering Cairo University Egypt c Electronics and Communications Engineering Department Faculty of Engineering Cairo University Egypt ARTICLE INFO ABSTRACT Article history Received 20 September 2012 Received in revised form 9 January 2013 Accepted 25 January 2013 Available online 23 March 2013 Keywords Fractance Fractional-order filter KHN filter Tow-Tomas filter 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. 2013 Cairo University. Production and hosting by Elsevier . All rights reserved. Introduction Generally the classical linear circuit theory is based on integer order differential equations which reflect the .