Synthesis and active realization of a three-phase complex coefficient filter using gyrators

Shouno, Kazuhiro; Ishibashi, Yukio

doi:10.1109/mwscas.2008.4616858

Cited by 6 publications

(5 citation statements)

References 4 publications

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“… is even and ( ) Since this response of the system is complex, based on the model of the imaginary resistor proposed in [39], one can probe the real part   we have a gain cell and when γ > 0, we have a loss cell.…”

Section: Complex Voltage In Zrc Circuitmentioning

confidence: 99%

“…In this section is presented the experimental realization of the ZRC Parity-Time symmetric dimer with positive and negative frequencies. The imaginary resistor used is in the model of [39]. One can easily probe the real and imaginary parts of the voltages across the components.…”

Section: Experimental Realization Of Oscillations In Zrc Pt-dimermentioning

confidence: 99%

“…The imaginary resistor is a resistor which resistance is a pure imaginary number. It is built indirectly by gyrators [39]. If it is associated to a resistor which resistance is a real number, we can have a complex resistor which impedance is in the form…”

Section: Complex Voltage In Zrc Circuitmentioning

confidence: 99%

“…Many others works are also presented in these directions [30][31][32][33][34][35][36][37]. Tabeu et al presented in [30] how to achieve Parity-Time symmetry and Anti-Parity time symmetry in electronics using imaginary resistors [31,39,40] to have directly the system of first order ordinary differential equation without the coupling mode theory or the rotating frame. The configurations presented were with Gain-Loss, Gain-Gain and Loss-Loss in the dimer.…”

Section: Introductionmentioning

confidence: 99%

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Experimental observation of real spectra in Parity-Time symmetric ZRC dimers with positive and negative frequencies

Tabeu,

Fotsa-Ngaffo,

Shouno

et al. 2023

Preprint

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We present in this work the first experimental observation of oscillations in Parity-Time symmetric ZRC electronic dimers. The system obtained is of first order ordinary differential equation due to the use of imaginary resistors. The coupled cells must share the same type of frequency: positive or negative. We observed the real and imaginary parts of the voltage across the components of a ZRC cell. Exceptional points are well identified. This work may be very useful in the generation of new type of oscillators. It can also be used in the design of new optoelectronic devices for major applications in the transport of information and the mimics of two-level systems for quantum computing.

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Section: Complex Voltage In Zrc Circuitmentioning

confidence: 99%

Section: Experimental Realization Of Oscillations In Zrc Pt-dimermentioning

confidence: 99%

Section: Complex Voltage In Zrc Circuitmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Experimental observation of real spectra in Parity-Time symmetric ZRC dimers with positive and negative frequencies

Tabeu,

Fotsa-Ngaffo,

Shouno

et al. 2023

Preprint

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show abstract

“…The singularity of the models is based on the use of an imaginary resistor which allow the cells to oscillate with a natural frequency w = r c 1 n n n , where w n can be positive or negative according to the signs of r n and C n . The practical implementation of the imaginary resistor has been recently proposed using gyrators [43,45]. Another feature of our models is that the systems can support negative frequencies without altering it operating mode.…”

Section: Models Descriptionmentioning

confidence: 99%

Energy transport and Anderson-like localization in non-Hermitian electrical transmission line

Tagouegni¹,

Fotsa-Ngaffo²,

Tabeu³

et al. 2020

Phys. Scr.

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We investigate on the right and left-handed (RH/LH) balanced gain and loss non-Hermitian electrical transmission lines (ETL) modeled using an imaginary resistor. The hamiltonian of each system is successfully derived in the framework of the tight-binding theory. We discuss the underlying symmetries and calculate the breaking thresholds of the Parity time (PT) and Anti PT (APT) symmetry phase transitions. Moreover, the modes dynamic characterization reveal the existence of critical points beyond which operation requires thresholdless transition and the eigen modes are either real or complex. We also present a self-consistent theory to investigate on their scattering properties. In particular, we demonstrate that the Anderson-like localized modes mostly emerge in the broken phase where eigen modes are complex with the localization length proportional to the cell numbers. Importantly, the mode localization is most likely to occur in structures consisting of a large cells number for RH ETL while LH ETL will confined modes even for infinitesimal small cell numbers. These results unveil embryonic applications in cryptography, switching and system control.

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Circuit Transformations Suitable for Three-phase Gm-C Complex Filter

Fujii

Shouno

2019

2019 34th International Technical Conference on Circuits/Systems, Computers and Communications (ITC-CSCC)

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Synthesis and active realization of a three-phase complex coefficient filter using gyrators

Cited by 6 publications

References 4 publications

Experimental observation of real spectra in Parity-Time symmetric ZRC dimers with positive and negative frequencies

Experimental observation of real spectra in Parity-Time symmetric ZRC dimers with positive and negative frequencies

Energy transport and Anderson-like localization in non-Hermitian electrical transmission line

Circuit Transformations Suitable for Three-phase Gm-C Complex Filter

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