Simple square-root extractor using op amps

Kamsri, Thawatchai; Julsereewong, Prasit; Riewruja, Vanchai

doi:10.1109/iccas.2008.4694393

Cited by 10 publications

(5 citation statements)

References 4 publications

(7 reference statements)

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“…The quadratic term is implemented with the analog multiplier. The square root element is designed with two operational amplifiers as only active elements [27]. The analog circuit of the square root element is provided in Figure 7.…”

Section: Design Of the Analog Circuit With Multisimmentioning

confidence: 99%

“…For the theoretical study and based on [27], the second voltage source in Figure 7 should be fixed to 2.878 V. However, in experimentation applications, we have obtained the root square function by using a stabilized voltage equal to 2.9 V as shown in Figure 8. This figure describes two voltages; the first one is a positive source signal and the second one is the output signal of the square root circuit.…”

Section: Design Of the Analog Circuit With Multisimmentioning

confidence: 99%

See 1 more Smart Citation

Dynamic Analysis and Circuit Design of a Novel Hyperchaotic System with Fractional-Order Terms

Lassoued

Boubaker

2017

Complexity

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A novel hyperchaotic system with fractional-order (FO) terms is designed. Its highly complex dynamics are investigated in terms of equilibrium points, Lyapunov spectrum, and attractor forms. It will be shown that the proposed system exhibits larger Lyapunov exponents than related hyperchaotic systems. Finally, to enhance its potential application, a related circuit is designed by using the MultiSIM Software. Simulation results verify the effectiveness of the suggested circuit.

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Section: Design Of the Analog Circuit With Multisimmentioning

confidence: 99%

Section: Design Of the Analog Circuit With Multisimmentioning

confidence: 99%

Dynamic Analysis and Circuit Design of a Novel Hyperchaotic System with Fractional-Order Terms

Lassoued

Boubaker

2017

Complexity

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“…rooting is a significant mathematical function finding applications in electrical and electronic circuit analysis and design (Kamsri et al, 2008;Riewruja and Kamsri, 2009;Rungkhum et al, 2007; available at: https://electronics.stackexchange.com/questions/78294/ extracting-the-square-root-of-a-voltage). Square rooting of a voltage or current function can be considered as a typical example of a temporal arc function in which the function possesses more than one value for any given time argument.…”

Section: Time Domain Polynomialmentioning

confidence: 99%

A transform of univariable time domain polynomial for extraction of temporal arcs

Thankappan¹

2020

COMPEL

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Purpose This paper aims to present a special transformation that is applied to univariable polynomials of an arbitrary order, resulting in the generation of the proposed offset eliminated polynomial. This transform-based approach is used in the analysis and synthesis of temporal arc functions, which are time domain polynomial functions possessing two or more values simultaneously. Using the proposed transform, the submerged values of temporal arcs can also be extracted in measurements. Design/methodology/approach The methodology involves a two-step mathematical procedure in which the proposed transform of the weighted modified derivative of the polynomial is generated, followed by multiplication with a linear or ramp function. The transform introduces a stretching in the temporal or spatial domain depending on the type of variable under consideration, resulting in modifications for parameters such as time derivative and relative velocity. Findings Detailed analysis of various parameters in this modified time domain is performed and results are presented. Additionally, using the proposed methodology, the submerged value of any temporal arc function can also be extracted in measurements, thereby unraveling the temporal arc. Practical implications A typical implementation study with results is also presented for an operational amplifier-based temporal arc-producing square rooting circuit for the extraction of the submerged value of the function. Originality/value The proposed transform-based approach has major applications in extracting the values of temporal arc functions that are submerged in conventional experimental measurements, thereby providing a novel method in unraveling that class of special functions.

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“…Using only CCCIIs, another current-mode squarer and square-rooter were proposed in [6], but 2 and 3 CCCIIs were needed for the square-rooter and the squarer circuit, respectively. The OP-AMP based square-rooting circuits informed in [7][8][9][10] have the disadvantages that they use excessive passive components and operate in voltage-mode. Also, the circuits of [7][8][9] employ multiple OP-AMPs.…”

Section: Introductionmentioning

confidence: 99%

“…The OP-AMP based square-rooting circuits informed in [7][8][9][10] have the disadvantages that they use excessive passive components and operate in voltage-mode. Also, the circuits of [7][8][9] employ multiple OP-AMPs. Again, the squaring and square-rooting circuits introduced in [11] employing an OP-AMP and 2/4 MOSFETs are of voltage-modes.…”

Section: Introductionmentioning

confidence: 99%

Simple Current-Mode Squaring and Square-Rooting Circuits: Applications of MO-CCCCTA

2021

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This work provides new designs of simple current-mode squaring and square-rooting circuits using multiple-output current controlled current conveyor transconductance amplifier (MO-CCCCTA) as an active building block. Since the proposed circuits need no other external components, they are capable of high-frequency operation and well fitted for IC fabrication. Furthermore, they are insensitive to ambient temperature and their gains can be controlled easily by adjusting the bias currents of MO-CCCCTA. Additionally, the effects of MO-CCCCTA non-idealities on the designed circuits have also been investigated and discussed. Simulation results generated through PSPICE software using TSMC 0.18 µm CMOS process parameters have been presented to justify the theoretical analysis. The static power consumption, bandwidth, and maximum linearity error in dc transfer characteristic measurement for the square-rooting circuit are found to be 0.17 mW, 445.63 MHz and 1.12 %, while for the squaring circuit they are 0.326 mW, 61.15 MHz and 2.38 %, respectively. The application of the reported circuits as a 2-input vector summation circuit has also been included to strengthen the design ideas. HIGHLIGHTS Simple structures of fully integrable current-mode squarers and square-rooters with low component count and lower power dissipation The circuits are insensitive to temperature drift and their gains can be controlled easily by adjusting the bias currents of MO-CCCCTA Bandwidth, static power dissipation, linearity error of square-rooter are 445.63 MHz, 0.17 mW & ≤ 1.12 %; and for the squarer 61.15 MHz, 0.326 mW & 2.38 %, respectively GRAPHICAL ABSTRACT

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Simple square-root extractor using op amps

Cited by 10 publications

References 4 publications

Dynamic Analysis and Circuit Design of a Novel Hyperchaotic System with Fractional-Order Terms

Dynamic Analysis and Circuit Design of a Novel Hyperchaotic System with Fractional-Order Terms

A transform of univariable time domain polynomial for extraction of temporal arcs

Simple Current-Mode Squaring and Square-Rooting Circuits: Applications of MO-CCCCTA

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