Precision of sinewave amplitude estimation in the presence of additive noise and quantization error

Francisco André Corrêa Alegria

doi:10.2478/jee-2023-0045

.blurhash-client-img { display: none !important; }

Precision of sinewave amplitude estimation in the presence of additive noise and quantization error

Journal of Electrical Engineering

Volume 74 (2023): Issue 5 (October 2023)

By: Francisco André Corrêa Alegria

Open Access

|Oct 2023

Abstract

This research paper delves into a comprehensive investigation concerning the impact of additive noise and quantization error on the precision of amplitude, offset, and phase estimates of a sine wave fitted to a set of data points acquired by a waveform digitizer. Simulation results are used to validate the expressions presented.

References

IEEE, “IEEE Standard for digitizing waveform recorders – IEEE Std 1057-1994”, Institute of Eletrical and Electronics Engineers, Inc., SH94245, December 1994, doi: 10.1109/IEEESTD.1994.122649.
Search in Google Scholar Back to article
A. Cruz Serra, F. Corrêa Alegria, R. Martins and M. Fonseca da Silva, “Analog-to-digital converter testing—new proposals”, Computer Standards & Interfaces, vol. 26, nº 1, pp. 3-13, January 2004, doi: 10.1016/S0920-5489(03)00057-6.
Search in Google Scholar Back to article
F. Corrêa Alegria, P. Girão, V. Haasz, A. Cruz Serra, “Performance of Data Acquisition Systems from the User’s Point of View”, IEEE Transactions on Instrumentation and Measurement, vol. 53, no. 4, pp. 907-914, August 2004, doi: 10.1109/TIM.2004.830757.
Search in Google Scholar Back to article
F. Corrêa Alegria, Pedro Girão, Vladimir Haasz and António Serra, “Performance of Data Acquisition Systems from User’s Point of View”, IEEE Instrumentation and Measurement Technology Conference, Vail, Colorado, USA, pp. 940-945, 20-22 May 2003.
Search in Google Scholar Back to article
F. Corrêa Alegria, A. Cruz Serra, “Influence of Frequency Errors in the Variance of the Cumulative Histogram”, Conference on Precision Electromagnetic Measurements, pp. 585-586, 14-19 May 2000, Sydney Australia, doi: 10.1109/CPEM.2000.851145.
Search in Google Scholar Back to article
P. Carbone and D. Petri, “Noise Sensitivity of the ADC Histogram Test”, IEEE Transactions on Instrumentation and Measurement, vol. 47, no. 4, August 1998, doi: 10.1109/19.744658.
Search in Google Scholar Back to article
S. Shariat-Panahi, F. Corrêa Alegria, A. Mànuel, A. Cruz Serra, “IEEE 1057 jitter test of waveform recorders”, IEEE Transactions on Instrumentation and Measurement, vol. 58, no. 7, pp. 2234-2244, doi: 10.1109/TIM.2009.2013674.
Search in Google Scholar Back to article
F. Corrêa Alegria, A. Cruz Serra, “Uncertainty of the estimates of sine wave fitting of digital data in the presence of additive noise”, 2006 IEEE Instrumentation and Measurement Technology Conference Proceedings, 24-25 April 2006, doi: 10.1109/IMTC.2006.328187.
Search in Google Scholar Back to article
J. Šaliga, I. Kollár, L. Michaeli, J. Buša, J. Lipták, T. Virosztek. “A comparison of least squares and maximum likelihood methods using sine fitting in ADC testing”, Measurement, vol. 46, no. 10, December 2013, pp. 4362-4368, doi; 10.1016/j.measurement.2013.05.004.
Search in Google Scholar Back to article
F. Corrêa Alegria, A. Moschitta, P. Carbone, A. Cruz Serra, D. Petri, “Effective ADC Linearity Testing Using Sinewaves”, IEEE Transactions on Circuits and Systems, vol. 52. nº 7, pp. 1267-1275, July 2005, doi: 10.1109/TCSI.2005.851393.
Search in Google Scholar Back to article
F. Corrêa Alegria, A. Cruz Serra, “Gaussian jitter-induced bias of sine wave amplitude estimation using three-parameter sine fitting”, IEEE Transactions on Instrumentation and Measurement, vol. 59, no. 9, September 2010, pp. 2328 2333, doi: 10.1109/TIM.2009.2034576.
Search in Google Scholar Back to article
E. Martinho, F. Corrêa Alegria, A. Dionisio, C. Grangeia, F. Almeida, “3D-resistivity imaging and distribution of water soluble salts in Portuguese Renaissance stone bas-reliefs”, Engineering Geology, vol. 141, pp. 33 44, April 2012, doi: 10.1016/j.enggeo.2012.04.010.
Search in Google Scholar Back to article
K. Heijn, A. Pacut, “Generalized Model of the Quantization Error – A Unified Approach”, IEEE Transactions on Instrumentation and Measurement, vol. 34, n. 1, pp. 41-44, February 1996, doi: 10.1109/19.481309.
Search in Google Scholar Back to article
A. Papoulis, “Probability, Random Variables and Stochastic Processes”, McGraw-Hill, 3^rd edition, 1991.
Search in Google Scholar Back to article
G.M.P. van Kempen1 and L.J. van Vliet, “Mean and Variance of Ratio Estimators Used in Fluorescence Ratio Imaging”, Cytometry, vol. 39, 2000, pp. 300-305.
Search in Google Scholar Back to article
M. Bertocco, C. Narduzi, P. Paglierani, D. Petri, “Accuracy of Effective Bits Estimation Methods”, IEEE Instrumentation and Technology Conference, Brussels, Belgium, June 4-6, 1996.
Search in Google Scholar Back to article
F. Corrêa Alegria, A. Cruz Serra, “Uncertainty in the ADC Transition Voltages Determined with the Histogram Method”, Proceedings of the 6^th Workshop on ADC Modeling and Testing, Lisbon, Portugal, September 13-14, 2001, pp. 28-32.
Search in Google Scholar Back to article
A. Cruz Serra, F. Corrêa Alegria, L. Michaeli, P. Michalko, J. Saliga, “Fast ADC testing by repetitive histogram analysis”, 2006 IEEE Instrumentation and Measurement Technology Conference Proceedings, 2006, doi: 10.1109/IMTC.2006.328161.
Search in Google Scholar Back to article
F. Corrêa Alegria, A.M. da Cruz Serra, “Uncertainty of ADC random noise estimates obtained with the IEEE 1057 standard test”, IEEE Transactions on Instrumentation and Measurement 54 (1), pp. 110-116, 2005, doi: 10.1109/TIM.2004.840226.
Search in Google Scholar Back to article
S. N. Domenico, “Acoustic wave propagation in air-bubble curtains in water - Part I, History and theory”, Geophysics, vol. 47, no. 3, pp. 345-353, 1982, doi: 10.1190/1.1441340.
Search in Google Scholar Back to article
O. Birjukova, S. Guillén Ludeña, F. Alegria, A. H. Cardoso, “Three dimensional flow field at confluent fixed-bed open channels”, Proceedings of River Flow 2014, pp. 1007-1014, 2014, ISBN: 978-1-138-02674-2.
Search in Google Scholar Back to article

Articles in this issue

DOI: https://doi.org/10.2478/jee-2023-0045 | Journal eISSN: 1339-309X | Journal ISSN: 1335-3632

Journal RSS Feed

Language: English

Page range: 374 - 381

Submitted on: Aug 12, 2023

Published on: Oct 21, 2023

Published by: Slovak University of Technology in Bratislava

In partnership with: Paradigm Publishing Services

Publication frequency: 6 issues per year

Keywords:

sinewave,

fitting,

uncertainty,

analog-to-digital conversion,

ADC,

quantization

Related subjects:

Engineering,

Introductions and overviews,

Engineering, other

© 2023 Francisco André Corrêa Alegria, published by Slovak University of Technology in Bratislava
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 74 (2023): Issue 5 (October 2023)