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.
2020-01-01
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione
