Power Dependent Impedance Measurement Exploiting an Oscilloscope and Möbius Transformation

Sonshu SAKIHARA; Masaru TAKANA; Naoki SAKAI; Takashi OHIRA

doi:10.1587/transele.E100.C.918

Power Dependent Impedance Measurement Exploiting an Oscilloscope and Möbius Transformation

Sonshu SAKIHARA, Masaru TAKANA, Naoki SAKAI, Takashi OHIRA

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Summary :

This paper presents an approach to nonlinear impedance measurement exploiting an oscilloscope and Möbius transformation. Proposed system consists of a linear 4-port network and an oscilloscope. One of the port is excited by a high power source. The power is delivered to the second port, which is loaded with a DUT. Another set of two ports are used to observe a voltage set. This voltage set gives the impedance of the DUT through Möbius transformation. We formulated measurability M of the system, and derived the condition that M becomes constant for any DUT. To meet the condition, we propose a linear 4-port network consisting of a quarter-wavelength transmission line and resistors. We confirm the validity and utility of the proposed system by measuring the impedance of incandescent bulbs and an RF diode rectifier.

Publication: IEICE TRANSACTIONS on Electronics Vol.E100-C No.10 pp.918-923

Publication Date: 2017/10/01

Publicized

Online ISSN: 1745-1353

DOI: 10.1587/transele.E100.C.918

Type of Manuscript: Special Section PAPER (Special Section on Microwave and Millimeter-Wave Technology)

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Authors

Sonshu SAKIHARA
  Taisei Corporation
Masaru TAKANA
  Toyohashi University of Technology
Naoki SAKAI
  Toyohashi University of Technology
Takashi OHIRA
  Toyohashi University of Technology

Keyword

nonlinear impedance measurement, Möbius transformation, oscilloscope, measurability, RF rectifier

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Sonshu SAKIHARA, Masaru TAKANA, Naoki SAKAI, Takashi OHIRA, "Power Dependent Impedance Measurement Exploiting an Oscilloscope and Möbius Transformation" in IEICE TRANSACTIONS on Electronics, vol. E100-C, no. 10, pp. 918-923, October 2017, doi: 10.1587/transele.E100.C.918.
Abstract: This paper presents an approach to nonlinear impedance measurement exploiting an oscilloscope and Möbius transformation. Proposed system consists of a linear 4-port network and an oscilloscope. One of the port is excited by a high power source. The power is delivered to the second port, which is loaded with a DUT. Another set of two ports are used to observe a voltage set. This voltage set gives the impedance of the DUT through Möbius transformation. We formulated measurability M of the system, and derived the condition that M becomes constant for any DUT. To meet the condition, we propose a linear 4-port network consisting of a quarter-wavelength transmission line and resistors. We confirm the validity and utility of the proposed system by measuring the impedance of incandescent bulbs and an RF diode rectifier.
URL: https://globals.ieice.org/en_transactions/electronics/10.1587/transele.E100.C.918/_p

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@ARTICLE{e100-c_10_918,
author={Sonshu SAKIHARA, Masaru TAKANA, Naoki SAKAI, Takashi OHIRA, },
journal={IEICE TRANSACTIONS on Electronics},
title={Power Dependent Impedance Measurement Exploiting an Oscilloscope and Möbius Transformation},
year={2017},
volume={E100-C},
number={10},
pages={918-923},
abstract={This paper presents an approach to nonlinear impedance measurement exploiting an oscilloscope and Möbius transformation. Proposed system consists of a linear 4-port network and an oscilloscope. One of the port is excited by a high power source. The power is delivered to the second port, which is loaded with a DUT. Another set of two ports are used to observe a voltage set. This voltage set gives the impedance of the DUT through Möbius transformation. We formulated measurability M of the system, and derived the condition that M becomes constant for any DUT. To meet the condition, we propose a linear 4-port network consisting of a quarter-wavelength transmission line and resistors. We confirm the validity and utility of the proposed system by measuring the impedance of incandescent bulbs and an RF diode rectifier.},
keywords={},
doi={10.1587/transele.E100.C.918},
ISSN={1745-1353},
month={October},}

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TY - JOUR
TI - Power Dependent Impedance Measurement Exploiting an Oscilloscope and Möbius Transformation
T2 - IEICE TRANSACTIONS on Electronics
SP - 918
EP - 923
AU - Sonshu SAKIHARA
AU - Masaru TAKANA
AU - Naoki SAKAI
AU - Takashi OHIRA
PY - 2017
DO - 10.1587/transele.E100.C.918
JO - IEICE TRANSACTIONS on Electronics
SN - 1745-1353
VL - E100-C
IS - 10
JA - IEICE TRANSACTIONS on Electronics
Y1 - October 2017
AB - This paper presents an approach to nonlinear impedance measurement exploiting an oscilloscope and Möbius transformation. Proposed system consists of a linear 4-port network and an oscilloscope. One of the port is excited by a high power source. The power is delivered to the second port, which is loaded with a DUT. Another set of two ports are used to observe a voltage set. This voltage set gives the impedance of the DUT through Möbius transformation. We formulated measurability M of the system, and derived the condition that M becomes constant for any DUT. To meet the condition, we propose a linear 4-port network consisting of a quarter-wavelength transmission line and resistors. We confirm the validity and utility of the proposed system by measuring the impedance of incandescent bulbs and an RF diode rectifier.
ER -