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

25 January 2017 Estimation of amplitude and standard deviation of noisy sinusoidal signals

Rigoberto Juarez-Salazar, Victor H. Diaz-Ramirez

Author Affiliations +

Optical Engineering, Vol. 56, Issue 1, 013109 (January 2017). https://doi.org/10.1117/1.OE.56.1.013109

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.

Citation Download Citation

Rigoberto Juarez-Salazar and Victor H. Diaz-Ramirez "Estimation of amplitude and standard deviation of noisy sinusoidal signals," Optical Engineering 56(1), 013109 (25 January 2017). https://doi.org/10.1117/1.OE.56.1.013109

Received: 3 December 2016; Accepted: 6 January 2017; Published: 25 January 2017

ACCESS THE FULL ARTICLE

INSTITUTIONAL
Select your institution to access the SPIE Digital Library.

SELECT YOUR INSTITUTION

PERSONAL
Sign in with your SPIE account to access your personal subscriptions or to use specific features such as save to my library, sign up for alerts, save searches, etc.

PERSONAL SIGN IN

No SPIE Account? Create one

PURCHASE THIS CONTENT

SUBSCRIBE TO DIGITAL LIBRARY

50 downloads per 1-year subscription

Members: $195

Non-members: $335 ADD TO CART

25 downloads per 1 - year subscription

Members: $145

Non-members: $250 ADD TO CART

PURCHASE SINGLE ARTICLE

Includes PDF, HTML & Video, when available