This paper investigates the effect of frequency uncertainty on the sine-wave amplitude estimator returned by the linear least-square fitting approach when the waveform offset is null. The analytical expressions for the bias and the variance of the amplitude estimator are derived assuming a random sine-wave phase. The derived expressions allow us to analyze the effect of frequency uncertainty on sine-wave amplitude estimator accuracy. Also, the expressions for the mean square errors of the amplitude estimator obtained in the case of pure sine-waves and sine-waves corrupted by additive noise are given. Extensive computer simulations are carried out to verify the theoretical results.

Effect of frequency uncertainty on the sine-wave amplitude estimator returned by linear least-squares fitting / Belega, D.; Petri, D.. - ELETTRONICO. - (2020), pp. 1-5. ((Intervento presentato al convegno 2020 IEEE International Instrumentation and Measurement Technology Conference, I2MTC 2020 tenutosi a Dubrovnik - Croazia nel 2020 [10.1109/I2MTC43012.2020.9129349].

Effect of frequency uncertainty on the sine-wave amplitude estimator returned by linear least-squares fitting

Petri D.
2020

Abstract

This paper investigates the effect of frequency uncertainty on the sine-wave amplitude estimator returned by the linear least-square fitting approach when the waveform offset is null. The analytical expressions for the bias and the variance of the amplitude estimator are derived assuming a random sine-wave phase. The derived expressions allow us to analyze the effect of frequency uncertainty on sine-wave amplitude estimator accuracy. Also, the expressions for the mean square errors of the amplitude estimator obtained in the case of pure sine-waves and sine-waves corrupted by additive noise are given. Extensive computer simulations are carried out to verify the theoretical results.
I2MTC 2020 - International Instrumentation and Measurement Technology Conference, Proceedings
Stati Uniti d'America
Institute of Electrical and Electronics Engineers Inc.
978-1-7281-4460-3
Belega, D.; Petri, D.
Effect of frequency uncertainty on the sine-wave amplitude estimator returned by linear least-squares fitting / Belega, D.; Petri, D.. - ELETTRONICO. - (2020), pp. 1-5. ((Intervento presentato al convegno 2020 IEEE International Instrumentation and Measurement Technology Conference, I2MTC 2020 tenutosi a Dubrovnik - Croazia nel 2020 [10.1109/I2MTC43012.2020.9129349].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/343209
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