What is it about?
Accurate estimation of the amplitude of a sinusoidal signal can be obtained if the phase is properly modeled or known. Otherwise, the amplitude is biased because of the noise. We show for the first time that the amplitude and standard deviation of a noisy sinusoid can be accurately estimated without any particular form of the phase.
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Why is it important?
Conventional sine-fitting algorithms consider sinusoidal signals with well-defined phases (e.g., linear phase functions). On the other hand, our method works with sinusoids whose phase can be nonlinear, discontinuous, and unknown.
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This page is a summary of: Estimation of amplitude and standard deviation of noisy sinusoidal signals, Optical Engineering, January 2017, SPIE,
DOI: 10.1117/1.oe.56.1.013109.
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