Estimation of amplitude and standard deviation of noisy sinusoidal signals

Rigoberto Juarez-Salazar; Victor H. Diaz-Ramirez

doi:10.1117/1.OE.56.1.013109

Estimation of amplitude and standard deviation of noisy sinusoidal signals

Rigoberto Juarez-Salazar, Victor H. Diaz-Ramirez

Centro de Investigación y Desarrollo de Tecnología Digital (CITEDI)

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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.

Original language	English
Article number	013109
Journal	Optical Engineering
Volume	56
Issue number	1
DOIs	https://doi.org/10.1117/1.OE.56.1.013109
State	Published - 1 Jan 2017

Keywords

Amplitude bias
Fringe pattern
Gaussian noise
Noise filtering
Normalization
Sine-fitting

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10.1117/1.OE.56.1.013109

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title = "Estimation of amplitude and standard deviation of noisy sinusoidal signals",

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.",

keywords = "Amplitude bias, Fringe pattern, Gaussian noise, Noise filtering, Normalization, Sine-fitting",

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N2 - 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.

AB - 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.

KW - Amplitude bias

KW - Fringe pattern

KW - Gaussian noise

KW - Noise filtering

KW - Normalization

KW - Sine-fitting

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JF - Optical Engineering

IS - 1

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ER -

Estimation of amplitude and standard deviation of noisy sinusoidal signals

Abstract

Keywords

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