Summary Approximations of the fractional‐order differentiator and integrator operators s ± r are proposed in this work. These approximations target realization these using standard active filter transfer functions. Hence, circuit implementations integrated form or discrete component significantly facilitated. Complementary metal‐oxide‐semiconductor (CMOS) realizations given validated via simulations AMS 0.35 μm CMOS technology, while experimental results operational amplifier circuits tested...

Reduced complexity CMOS fractional-order differentiator and integrator building blocks are introduced in this work, based on 2nd-order integer-order transfer function approximations. These then used for implementing filters as well a Leaky-Integrate-and-Fire Mihalas-Niebur neuron model. Cascading 1st to obtain 5th-order functions, improved bandwidth of approximation accuracy is achieved. Furthermore, the realization capacitor inductor emulators demonstrated.

The equivalence of fractional-order inverse filters with controllers is demonstrated in this work. This achieved by appropriately rewriting the transfer functions order to clarify correspondence between gain and time-constant scaling factor differentiation/integration constant controllers. Possible implementations using second generation voltage conveyors are presented an application example, related control a motion system, for evaluating behavior introduced structures.

Low-pass and high-pass non-integer shelving filter designs, which are suitable for acoustic applications, presented in this work. A first design is based on a standard fractional-order bilinear transfer function, while second one the transposition of integer-order function into its power-law counterpart. Both functions approximated using Oustaloup approximation tool, implementation case filters performed through employment concept driving-point impedance synthesis. An attractive benefit...

A multi-function fractional-order filter topology, constructed from 2 MOS transistors only, is introduced in this paper. The required time-constants are realized through the utilization of small-signal transconductance parameter transistor, offering electronic adjustment frequency characteristics derived filters. main attractive offered benefit, comparison with literature, significant reduction transistor count and, consequently, reduced power dissipation. behavior filters evaluated using...

This paper deals with fractional-order controller implementations, which can be constructed by electronically controlled building blocks fully integrated on a single chip. The proposed DC motor structure offers 50% reduction of the active components count, compared to corresponding already published counterpart. liquid level two-interacting-tank scheme is first one in literature offering aforementioned features. Simulation results, based 0.35 μ m Austria Mikro Systeme technology process,...

A fractional-order implementation of the model arterial viscoelasticity is presented in this work. The main attractive offered benefit that all states are implemented by same core, just adjusting appropriate dc bias currents. This has been achieved through proposal an enhanced inductor emulator, where characteristics element can be independently adjusted. behavior designed evaluated post-layout simulation results, using Cadence IC design suite and Design Kit provided Austria Mikro Systeme...

An ultra-low voltage sixth-order low pass filter topology, suitable for sensing the T-wave signal in an electrocardiogram (ECG), is presented this paper. This realized using a cascade connection of second-order building blocks constructed from sinh-domain two-integrator loop. The performance has been evaluated Cadence Analog Design Environment and design kit provided by Austria Mikro Systeme (AMS) 0.35-µm CMOS process. power consumption filters was 7.21 nW, while total harmonic distortion...

A novel implementation of a fractional-order parallel resonator, capable operating in ±0.5 V power supply voltage environment, is presented this work. Compared to the corresponding already published structures, it offers benefit reduced circuit complexity, due utilization very simple voltage-mode 1st-order filter sections, leading also reduction dc consumption. Electronic tuning capability another attractive feature proposed structure achieved using programmable MOS transistor...

This paper presents a design of the controllable emulator FOC (Fractional-Order Capacitor) and its application. The circuit is based on 5th-order RC topology (type Foster I), where passive elements in are replaced by electronically adjustable components. proposed OTA (Operational Transconductance Amplifier) VDCC (Voltage Differencing Current Conveyor). resistors implemented OTAs. tunable capacitors using capacitance multipliers, which employ VDCCs. structure provides electronic control order...

Fractional-order differentiation and integration stages are essential building blocks for performing signal processing using fractional-order calculus. One important characteristic of differentiators/integrators is the circuit complexity integer-order topologies required approximating such stages. The already introduced schemes suffer from this obstacle, making derived structures power demanding. A simple structure, constructed 21 MOS transistors 3 dc current sources, which capable...

A novel compact topology, for approximating fractional-order differentiators, is presented in this paper. The realization of the required integer-order transfer function performed through summation intermediate low-pass, high-pass, and band-pass filter functions, which easily implemented due to current-mode nature topology. Attractive offered benefits are electronic tuning capability potential on-chip integration. evaluation behavior differentiator using Cadence software Design Kit provided...

Novel fractional-order capacitor and inductor emulators are presented in this work, which offer fully electronic tunability of their characteristics and, simultaneously, reduced circuit complexity compared to those already introduced the literature. This has been achieved through utilization log-domain filtering for implementing approximation required differentiation/integration stages. The behavior topology is evaluated using Cadence software MOS transistor models provided by 0.35μm Austria...

novel topology capable of realizing fractional-order inverse low-pass, high-pass and band-pass filters is introduced in this paper. The main offered benefits are the electronic tuning capability frequency characteristics realized filter functions, which a result employment log-domain filtering technique, and, also, design versatility proposed scheme sense that all aforementioned functions by same core, just changing values dc bias currents adding appropriate current-mirror stages.

Voltage-mode and current-mode fractional-order filter topologies, which are capable of realizing various types transfer functions, introduced in this paper. Thanks to the employment transconductance parameter MOS transistors, derived structures offer benefit electronic adjustment their frequency characteristics. With regards literature, number transisitors is minimized leading significant reduction circuit complexity power dissipation. Simulation results, using Design Kit 0.35 μm Austria...

Nowadays, a realization of non-integer (fractional) order elements on digital platform is Widely researched problem. The theory such dynamic components relatively well grounded, however, many problems implementation are still open. In this paper we consider real time fractional control MagLev system. Classical methods approximation and available toolboxes unable to function in the fast discrete environment. As solution use novel library: SoftFRAC Which dedicated for tasks. We illustrate...

Abstract Second-generation voltage conveyor structures, based on the employment of flipped follower stages, are investigated and proposed in this work. The core has feature offering extremely low or electronically adjustable input resistance programmable outputs, enhancing achieved design flexibility versatility active cell. Two examples presented work, including a multi-phase sinusoidal oscillator topology an first-order low-pass filter, both supported by simulation experimental results.