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Improved determination of Q-factor and resonant frequency by a quadratic curve-fitting method

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Improved determination of Q-factor and resonant frequency by a quadratic curve-fitting method. / Robinson, M P; Clegg, J.

In: IEEE Transactions on Electromagnetic Compatibility, Vol. 47, No. 2, 05.2005, p. 399-402.

Research output: Contribution to journalArticle

Harvard

Robinson, MP & Clegg, J 2005, 'Improved determination of Q-factor and resonant frequency by a quadratic curve-fitting method', IEEE Transactions on Electromagnetic Compatibility, vol. 47, no. 2, pp. 399-402. https://doi.org/10.1109/TEMC.2005.847411

APA

Robinson, M. P., & Clegg, J. (2005). Improved determination of Q-factor and resonant frequency by a quadratic curve-fitting method. IEEE Transactions on Electromagnetic Compatibility, 47(2), 399-402. https://doi.org/10.1109/TEMC.2005.847411

Vancouver

Robinson MP, Clegg J. Improved determination of Q-factor and resonant frequency by a quadratic curve-fitting method. IEEE Transactions on Electromagnetic Compatibility. 2005 May;47(2):399-402. https://doi.org/10.1109/TEMC.2005.847411

Author

Robinson, M P ; Clegg, J. / Improved determination of Q-factor and resonant frequency by a quadratic curve-fitting method. In: IEEE Transactions on Electromagnetic Compatibility. 2005 ; Vol. 47, No. 2. pp. 399-402.

Bibtex - Download

@article{bec5df17fb8540f2b6b439e801ccc7c6,
title = "Improved determination of Q-factor and resonant frequency by a quadratic curve-fitting method",
abstract = "The Q-factor and peak frequency of resonant phenomena give useful information about the propagation and storage of energy in an electronic system and therefore its electromagnetic compatibility performance. However, the calculation of Q by linear interpolation of a discrete frequency response to obtain the half-power bandwidth can give inaccurate results, particularly if the data are noisy or the frequency resolution is low. We describe a more accurate method that makes use of the Lorentzian shape of the resonant peaks and involves fitting a second-order polynomial to the reciprocal power plotted against angular frequency. We demonstrate that this new method requires less than one quarter the number of frequency points as the linear method to give comparable accuracy in Q. The new method also gives comparable accuracy for signal-to-noise ratios that are approximately 8 dB greater. It is also more accurate for determination of peak frequency. Examples are given both from measured frequency responses and from simulated data obtained by the transmission line matrix method.",
keywords = "electromagnetic compatibility (EMC) measurements, interpolation, Q-factor, resonance, resonant frequency",
author = "Robinson, {M P} and J Clegg",
note = "{\circledC} 2005 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.",
year = "2005",
month = "5",
doi = "10.1109/TEMC.2005.847411",
language = "English",
volume = "47",
pages = "399--402",
journal = "IEEE Transactions on Electromagnetic Compatibility",
issn = "0018-9375",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
number = "2",

}

RIS (suitable for import to EndNote) - Download

TY - JOUR

T1 - Improved determination of Q-factor and resonant frequency by a quadratic curve-fitting method

AU - Robinson, M P

AU - Clegg, J

N1 - © 2005 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.

PY - 2005/5

Y1 - 2005/5

N2 - The Q-factor and peak frequency of resonant phenomena give useful information about the propagation and storage of energy in an electronic system and therefore its electromagnetic compatibility performance. However, the calculation of Q by linear interpolation of a discrete frequency response to obtain the half-power bandwidth can give inaccurate results, particularly if the data are noisy or the frequency resolution is low. We describe a more accurate method that makes use of the Lorentzian shape of the resonant peaks and involves fitting a second-order polynomial to the reciprocal power plotted against angular frequency. We demonstrate that this new method requires less than one quarter the number of frequency points as the linear method to give comparable accuracy in Q. The new method also gives comparable accuracy for signal-to-noise ratios that are approximately 8 dB greater. It is also more accurate for determination of peak frequency. Examples are given both from measured frequency responses and from simulated data obtained by the transmission line matrix method.

AB - The Q-factor and peak frequency of resonant phenomena give useful information about the propagation and storage of energy in an electronic system and therefore its electromagnetic compatibility performance. However, the calculation of Q by linear interpolation of a discrete frequency response to obtain the half-power bandwidth can give inaccurate results, particularly if the data are noisy or the frequency resolution is low. We describe a more accurate method that makes use of the Lorentzian shape of the resonant peaks and involves fitting a second-order polynomial to the reciprocal power plotted against angular frequency. We demonstrate that this new method requires less than one quarter the number of frequency points as the linear method to give comparable accuracy in Q. The new method also gives comparable accuracy for signal-to-noise ratios that are approximately 8 dB greater. It is also more accurate for determination of peak frequency. Examples are given both from measured frequency responses and from simulated data obtained by the transmission line matrix method.

KW - electromagnetic compatibility (EMC) measurements

KW - interpolation

KW - Q-factor

KW - resonance

KW - resonant frequency

U2 - 10.1109/TEMC.2005.847411

DO - 10.1109/TEMC.2005.847411

M3 - Article

VL - 47

SP - 399

EP - 402

JO - IEEE Transactions on Electromagnetic Compatibility

T2 - IEEE Transactions on Electromagnetic Compatibility

JF - IEEE Transactions on Electromagnetic Compatibility

SN - 0018-9375

IS - 2

ER -