Accuracy of the frequency and phase measurement concerning different noise sources for phase Doppler Anemometry

Janusz Kulon; Lu Zhang; Yong Yan

doi:10.1109/ICSIMA.2015.7559037

Accuracy of the frequency and phase measurement concerning different noise sources for phase Doppler Anemometry

Janusz Kulon, Lu Zhang, Yong Yan

Faculty of Computing, Engineering and Science

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

The measurement accuracy of the estimation of the Doppler frequency and the signal phase difference in Phase Doppler Anemometry (PDA) systems is investigated in this paper by taking into account the effect of the particle trajectory via the measurement volume and the different noise sources. Both the signal dependent (quantum shot) noise and the signal independent (thermal and dark current) noise are considered. The minimum achievable measurement uncertainty of the phase shift estimation for the signal independent noise is determined by employing the 2D model of the Doppler Burst Signal with the Gaussian envelope and compared with the performance of the correlation method. Additionally, the Cramér-Rao lower bound (CRLB) of the frequency estimation concerning the quantum shot noise is calculated. The numerical examples show the performance of the correlation method with various parameter configurations compared with the derived CRLB. The numerical results confirm the validity of the analysis in terms of the relative effect of the particle trajectory, relative measurement time, size of the volume and signal-to-noise ratio on the accuracy of the estimation.

Original language	English
Title of host publication	2015 IEEE 3rd International Conference on Smart Instrumentation, Measurement and Applications (ICSIMA)
Publisher	Institute of Electrical and Electronics Engineers
Pages	1-6
ISBN (Electronic)	978-1-4673-7255-8
DOIs	https://doi.org/10.1109/ICSIMA.2015.7559037
Publication status	Published - 24 Nov 2015
Event	2015 IEEE 3rd INTERNATIONAL CONFERENCE ON SMART INSTRUMENTATIONS, MEASUREMENT AND APPLICATIONS - Putrajaya Marriott Hotel, Putrajaya, Malaysia Duration: 24 Nov 2015 → 25 Nov 2015 http://icsima.ieeemy-ims.org/15/

Conference

Conference	2015 IEEE 3rd INTERNATIONAL CONFERENCE ON SMART INSTRUMENTATIONS, MEASUREMENT AND APPLICATIONS
Abbreviated title	ICSIMA 2015
Country/Territory	Malaysia
City	Putrajaya
Period	24/11/15 → 25/11/15
Internet address	http://icsima.ieeemy-ims.org/15/

Keywords

correlation method
Cramér-Rao lower bound
phase doppler anemometry
frequency estimation
phase shift estimation

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Cite this

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title = "Accuracy of the frequency and phase measurement concerning different noise sources for phase Doppler Anemometry",

abstract = "The measurement accuracy of the estimation of the Doppler frequency and the signal phase difference in Phase Doppler Anemometry (PDA) systems is investigated in this paper by taking into account the effect of the particle trajectory via the measurement volume and the different noise sources. Both the signal dependent (quantum shot) noise and the signal independent (thermal and dark current) noise are considered. The minimum achievable measurement uncertainty of the phase shift estimation for the signal independent noise is determined by employing the 2D model of the Doppler Burst Signal with the Gaussian envelope and compared with the performance of the correlation method. Additionally, the Cram{\'e}r-Rao lower bound (CRLB) of the frequency estimation concerning the quantum shot noise is calculated. The numerical examples show the performance of the correlation method with various parameter configurations compared with the derived CRLB. The numerical results confirm the validity of the analysis in terms of the relative effect of the particle trajectory, relative measurement time, size of the volume and signal-to-noise ratio on the accuracy of the estimation.",

keywords = "correlation method, Cram{\'e}r-Rao lower bound, phase doppler anemometry, frequency estimation, phase shift estimation",

author = "Janusz Kulon and Lu Zhang and Yong Yan",

year = "2015",

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doi = "10.1109/ICSIMA.2015.7559037",

language = "English",

pages = "1--6",

booktitle = "2015 IEEE 3rd International Conference on Smart Instrumentation, Measurement and Applications (ICSIMA)",

publisher = "Institute of Electrical and Electronics Engineers",

note = "2015 IEEE 3rd INTERNATIONAL CONFERENCE ON SMART INSTRUMENTATIONS, MEASUREMENT AND APPLICATIONS, ICSIMA 2015 ; Conference date: 24-11-2015 Through 25-11-2015",

url = "http://icsima.ieeemy-ims.org/15/",

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Kulon, J, Zhang, L & Yan, Y 2015, Accuracy of the frequency and phase measurement concerning different noise sources for phase Doppler Anemometry. in 2015 IEEE 3rd International Conference on Smart Instrumentation, Measurement and Applications (ICSIMA). Institute of Electrical and Electronics Engineers, pp. 1-6, 2015 IEEE 3rd INTERNATIONAL CONFERENCE ON SMART INSTRUMENTATIONS, MEASUREMENT AND APPLICATIONS, Putrajaya, Malaysia, 24/11/15. https://doi.org/10.1109/ICSIMA.2015.7559037

Accuracy of the frequency and phase measurement concerning different noise sources for phase Doppler Anemometry. / Kulon, Janusz; Zhang, Lu; Yan, Yong.

2015 IEEE 3rd International Conference on Smart Instrumentation, Measurement and Applications (ICSIMA). Institute of Electrical and Electronics Engineers, 2015. p. 1-6.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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T1 - Accuracy of the frequency and phase measurement concerning different noise sources for phase Doppler Anemometry

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AU - Zhang, Lu

AU - Yan, Yong

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N2 - The measurement accuracy of the estimation of the Doppler frequency and the signal phase difference in Phase Doppler Anemometry (PDA) systems is investigated in this paper by taking into account the effect of the particle trajectory via the measurement volume and the different noise sources. Both the signal dependent (quantum shot) noise and the signal independent (thermal and dark current) noise are considered. The minimum achievable measurement uncertainty of the phase shift estimation for the signal independent noise is determined by employing the 2D model of the Doppler Burst Signal with the Gaussian envelope and compared with the performance of the correlation method. Additionally, the Cramér-Rao lower bound (CRLB) of the frequency estimation concerning the quantum shot noise is calculated. The numerical examples show the performance of the correlation method with various parameter configurations compared with the derived CRLB. The numerical results confirm the validity of the analysis in terms of the relative effect of the particle trajectory, relative measurement time, size of the volume and signal-to-noise ratio on the accuracy of the estimation.

AB - The measurement accuracy of the estimation of the Doppler frequency and the signal phase difference in Phase Doppler Anemometry (PDA) systems is investigated in this paper by taking into account the effect of the particle trajectory via the measurement volume and the different noise sources. Both the signal dependent (quantum shot) noise and the signal independent (thermal and dark current) noise are considered. The minimum achievable measurement uncertainty of the phase shift estimation for the signal independent noise is determined by employing the 2D model of the Doppler Burst Signal with the Gaussian envelope and compared with the performance of the correlation method. Additionally, the Cramér-Rao lower bound (CRLB) of the frequency estimation concerning the quantum shot noise is calculated. The numerical examples show the performance of the correlation method with various parameter configurations compared with the derived CRLB. The numerical results confirm the validity of the analysis in terms of the relative effect of the particle trajectory, relative measurement time, size of the volume and signal-to-noise ratio on the accuracy of the estimation.

KW - correlation method

KW - Cramér-Rao lower bound

KW - phase doppler anemometry

KW - frequency estimation

KW - phase shift estimation

U2 - 10.1109/ICSIMA.2015.7559037

DO - 10.1109/ICSIMA.2015.7559037

M3 - Conference contribution

SP - 1

EP - 6

BT - 2015 IEEE 3rd International Conference on Smart Instrumentation, Measurement and Applications (ICSIMA)

PB - Institute of Electrical and Electronics Engineers

T2 - 2015 IEEE 3rd INTERNATIONAL CONFERENCE ON SMART INSTRUMENTATIONS, MEASUREMENT AND APPLICATIONS

Y2 - 24 November 2015 through 25 November 2015

ER -

Accuracy of the frequency and phase measurement concerning different noise sources for phase Doppler Anemometry

Abstract

Conference

Keywords

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