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Contribution of jitter to the error of amplitude estimation of a sinusoidal signal

Correa Alegria F.

Metrology and Measurement Systems

2009

Vol. 16, nr 3

465-478

Jitter and phase noise are non-ideal effects that lead to uncertainties in estimating the parameters of a sinusoidal signal. In this paper, the particular case of the bias induced by these effects on the amplitude estimation is considered. An analytical expression is derived for the relative error of amplitude estimation as a function of number of samples and phase noise standard deviation. It is demonstrated that, in the case of coherent sampling, the relative error is independent of sinusoidal amplitude and offset.