Electronically Tunable Multifunction Transadmittance-Mode Fractional-Order Filter
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RESEARCH ARTICLE-ELECTRICAL ENGINEERING
Electronically Tunable Multifunction Transadmittance-Mode Fractional-Order Filter Garima Varshney1
· Neeta Pandey1 · Rajeshwari Pandey1
Received: 7 February 2020 / Accepted: 29 July 2020 © King Fahd University of Petroleum & Minerals 2020
Abstract In this paper a multifunction transadmittance-mode fractional-order filter is proposed for the very first time. The proposed structure provides fractional-order low-pass filter, fractional-order high-pass filter and fractional-order all-pass filter. It uses two operational transconductance amplifier and one fractional capacitor (FC). The FC is realized using the twelfth-order continued fraction expansion-based RC ladder. Functional verification of proposed fractional-order filter is verified through PSPICE using 180-nm CMOS technology model parameters. The transfer functions sensitivities’ with respect to various circuit parameters are examined through simulations. The effect of parameter variation on filter responses is studied using Monte Carlo analysis. Furthermore, the proposed filter possess electronic tunability through bias currents. Moreover, the circuit is tested experimentally using discrete components to realize the fractional-order capacitor showing great matching with the theoretical data. Keywords Transadmittance mode · Fractional-order filter · Sensitivity · Monte Carlo Analysis
1 Introduction Nowadays, the number of applications of fractional calculus is expanding at a great rate. This is due to the inherit capability of fractional calculus to offer more precise description of a real object than those based on classical integer methods [1– 3]. Fractional-order systems are found in various branches of science, such as thermodynamics [2], electrical engineering [4], control systems [3,5–7], biomedical [8–11], mechanics, electronics and analog signal processing [4,12,13], communication and image encryption [14–16]. Therefore, immense scope of research lies for fractional-order systems at multidisciplinary level. Filters are very important circuits in analog signal processing domain. In general, lters are categorized as current mode (CM), voltage mode (VM), transadmittance mode (TAM) and transimpedance mode (TIM) on the basis of input and output signals. In many applications voltage-mode and current-mode lters must be cascaded, which requires voltage to current converter (V–I) interface circuits to overcome these
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Garima Varshney [email protected] Department of Electronics and Communication Engineering, Delhi Technological University, Delhi, India
difficulties. The total efficacy of the electronic lter can be increased if signal processing can be combined with voltage to current converter interfacing. A transadmittance-mode lter is suitable for such applications and nds usage in receiver base band blocks of modern radio system [17]. Several integerorder TAM lters [18–24] are available in open literature. The order of a filter is characterized by the slope it offers in transition band. Fractional
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