Imaging Components, Systems, and Processing

Estimation of amplitude and standard deviation of noisy sinusoidal signals

[+] Author Affiliations
Rigoberto Juarez-Salazar

CONACYT—Instituto Politécnico Nacional, CITEDI, Avenue Instituto Politécnico Nacional 1310, Nueva Tijuana, Tijuana, Baja California, México

Victor H. Diaz-Ramirez

Instituto Politécnico Nacional, CITEDI, Avenue Instituto Politécnico Nacional 1310, Nueva Tijuana, Tijuana, Baja California, México

Opt. Eng. 56(1), 013109 (Jan 25, 2017). doi:10.1117/1.OE.56.1.013109
History: Received December 3, 2016; Accepted January 6, 2017
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Abstract.  A simple method to estimate the amplitude and standard deviation of sinusoidal signals corrupted with additive Gaussian noise is proposed. For this, a two-parameter model is developed by sorting the samples of the signal. This reduced parametric model allows robust parameter estimation, even if the phase function of the sinusoid is nonlinear, discontinuous, and unknown. The functionality and performance of the proposed method are analyzed by several computer simulations; the used GNU Octave program is provided. The proposed method can be useful for unbiased envelope estimation in fringe pattern normalization among other potential applications.

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© 2017 Society of Photo-Optical Instrumentation Engineers

Citation

Rigoberto Juarez-Salazar and Victor H. Diaz-Ramirez
"Estimation of amplitude and standard deviation of noisy sinusoidal signals", Opt. Eng. 56(1), 013109 (Jan 25, 2017). ; http://dx.doi.org/10.1117/1.OE.56.1.013109


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