Phase estimation using sine fitting with low number of samples is biased in the presence of additive noise
Instituto de Telecomunicações and Instituto Superior Técnico, Technical University of Lisbon, Portugal.
Review Article
Global Journal of Engineering and Technology Advances, 2023, 17(02), 120–130Article DOI: 10.30574/gjeta.2023.17.2.0238
Publication history:
Received on 12 October 2023; revised on 20 November 2023; accepted on 23 November 2021
Abstract:
It is demonstrated here that the initial phase estimation of a sine wave corrupted by additive noise using the least squares sine fitting algorithm is not biased, even for low number of samples, contrary to what happens in the case of the amplitude estimation. Monte Carlo simulations are presented which corroborate the conclusion reached. This result is of particular importance when studying the uncertainty of measurement methods based on phase estimation like ultrasonic non‑destructive testing.
Keywords:
Sine wave fitting; Uncertainty; ADC; Noise; Bias; Error
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Copyright © 2023 Author(s) retain the copyright of this article. This article is published under the terms of the Creative Commons Attribution Liscense 4.0