Abstract:A detailed analysis of an operational transconductance amplifier based gyrator implementing a fractional-order inductance simulator is presented. The influence of active element non-ideal properties on the gyrator operation is investigated and demonstrated by admittance characteristics and formulas for important values and cut-off frequencies in these characteristics. Recommendations to optimize the performance of the gyrator in terms of operation bandwidth, the range of obtainable admittance magnitude, and si… Show more
“…Unfortunately, the obtainment of C eq is not discussed as well as details about adjustability and tunability. Kubanek et al [48] analyzed the features of CPE usage in a standard loop of two transconductors-based gyrator including real properties of the active devices [5]. All consequences of parasitic properties of active devices are important for a correct selection of values of elements and precise results as well as a design guide [48].…”
Section: Discussion Of Recent Developmentmentioning
confidence: 99%
“…Kubanek et al [48] analyzed the features of CPE usage in a standard loop of two transconductors-based gyrator including real properties of the active devices [5]. All consequences of parasitic properties of active devices are important for a correct selection of values of elements and precise results as well as a design guide [48]. Authors of [26] (included in comparison with integer-order solutions in Table I) have shown a very simple topology utilizing a single commercially available active device including several integrated subparts (current conveyors, adjustable current amplifier, current feedback operational amplifier [1], [2]).…”
Section: Discussion Of Recent Developmentmentioning
A simple single parameter adjustable immittance concept designed with modular active devices, fabricated in I3T25 0.35 μm 3.3 V CMOS process of ON Semiconductor, is introduced. The proposed devices employ an integer-order capacitor and specifically designed fractional-order capacitors (sometimes called constant phase elements). The proposed active topology consists of two simple active elements, namely a linearly voltage adjustable operational transconductance amplifier and a voltage differencing unity gain voltage follower/buffer, and only two passive elements, i.e. redundancy is minimized. The designed topology offers generation of an adjustable immittance having both the capacitive and inductive character. The importance of the order as well as the value of the pseudo-capacitance for design and analyzes are shown, including all important parasitic features for estimation of expected operational bandwidth which have to be considered in the design. The operational bandwidth is determined by high values of approximants of fractional-order capacities (225, 56 and 8.8 μF/sec^1-, where α represents the order equal to 0.25, 0.5 and 0.75, respectively). These parameters result into ranges between tens of Hz and units-tens of kHz. The adjustability of the transconductance from 70 to 700 μS by the driving voltage between 0.05 and 0.5 V offers approximately one decade change of equivalent capacitance and inductance. Laboratory-based experiments done with a fabricated prototype confirmed the theoretical presumptions.
“…Unfortunately, the obtainment of C eq is not discussed as well as details about adjustability and tunability. Kubanek et al [48] analyzed the features of CPE usage in a standard loop of two transconductors-based gyrator including real properties of the active devices [5]. All consequences of parasitic properties of active devices are important for a correct selection of values of elements and precise results as well as a design guide [48].…”
Section: Discussion Of Recent Developmentmentioning
confidence: 99%
“…Kubanek et al [48] analyzed the features of CPE usage in a standard loop of two transconductors-based gyrator including real properties of the active devices [5]. All consequences of parasitic properties of active devices are important for a correct selection of values of elements and precise results as well as a design guide [48]. Authors of [26] (included in comparison with integer-order solutions in Table I) have shown a very simple topology utilizing a single commercially available active device including several integrated subparts (current conveyors, adjustable current amplifier, current feedback operational amplifier [1], [2]).…”
Section: Discussion Of Recent Developmentmentioning
A simple single parameter adjustable immittance concept designed with modular active devices, fabricated in I3T25 0.35 μm 3.3 V CMOS process of ON Semiconductor, is introduced. The proposed devices employ an integer-order capacitor and specifically designed fractional-order capacitors (sometimes called constant phase elements). The proposed active topology consists of two simple active elements, namely a linearly voltage adjustable operational transconductance amplifier and a voltage differencing unity gain voltage follower/buffer, and only two passive elements, i.e. redundancy is minimized. The designed topology offers generation of an adjustable immittance having both the capacitive and inductive character. The importance of the order as well as the value of the pseudo-capacitance for design and analyzes are shown, including all important parasitic features for estimation of expected operational bandwidth which have to be considered in the design. The operational bandwidth is determined by high values of approximants of fractional-order capacities (225, 56 and 8.8 μF/sec^1-, where α represents the order equal to 0.25, 0.5 and 0.75, respectively). These parameters result into ranges between tens of Hz and units-tens of kHz. The adjustability of the transconductance from 70 to 700 μS by the driving voltage between 0.05 and 0.5 V offers approximately one decade change of equivalent capacitance and inductance. Laboratory-based experiments done with a fabricated prototype confirmed the theoretical presumptions.
“…and the expressions of the magnitude frequency response and the half-power frequency are given in ( 9) and (10), respectively.…”
Section: Power-law Filtersmentioning
confidence: 99%
“…Non-integer order signal processing has received significant research interest in the following fields [1][2][3][4][5][6]. The first field is electrical engineering, for implementing filters and oscillators [5,[7][8][9][10][11][12][13][14][15], chaotic systems [16], sensor systems [17], and control systems [2,[18][19][20][21]. This originates from the fact that both filters and oscillators offer additional degrees of freedom due to the non-integer order, which opens the door for scaling the characteristic frequencies of the filters/oscillators, as well as for precisely controlling the gradient of the transition from the pass-band to the stop-band.…”
A structure suitable for implementing power-law low-pass and high-pass filter transfer functions is presented in this work. Through the utilization of a field-programmable analog array device, full programmability of the characteristics of the intermediate stages, as is required for realizing the rational integer-order transfer function that approximates the corresponding power-law function, was achieved, making the structure versatile. In addition, a comparison between power-law and fractional-order filters regarding the effect of the non-integer order was performed. The presented design examples are fully supported by experimental results.
“…The disadvantage is that the electronic control of the order is not available (the values of resistors and capacitors of the RC structure vary based on the desired FO and thus the resistors and capacitors of the RC structure need to be changed, or whole RC structure has to be redesigned and replaced). The last common technique is using emulators exhibiting specific behavior of FOE [35][36][37][38][39]. The structure of these emulators is usually more complex and require active elements in comparison to the previous approaches nonetheless, they often offer the electronic control of some parameter (fractional order, frequency band where the FO approximation is valid, gain adjustment, etc.…”
A design of a fractional-order (FO) integrator is introduced for operation of resulting solution in the current mode (CM). The solution of the integrator is based on the utilization of RC structures, but in comparison to other RC structure based FO designs, the proposed integrator offers the electronic control of the order. Moreover, the control of the proposed integrator does not require multiple specific and accurate values of the control voltages/currents in comparison to the topologies based on the approximation of the FO Laplacian operator. The electronic control of a gain level (gain adjustment) of the proposed integrator is available. The paper offers the results of Cadence IC6 (spectre) simulations and more importantly experimental measurements to support the presented design. The proposed integrator can be used to build various FO circuits as demonstrated by the utilization of the integrator into a structure of a frequency filter in order to provide FO characteristics.
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