Number of samples to use in estimating sinewave amplitude in the presence of noise
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Francisco André Corrêa Alegria
Abstract
The number of samples required to estimate the amplitude of a digitized sinewave depends on the amount of additive noise present, more specifically, on the precision of the estimator used which is depends directly on the additive noise standard deviation. Here an analytical approximate expression for this precision is derived and then used to derive an analytical expression useful in computing the minimum of number of samples that should be acquired to guarantee a given bound on the prevision of the sinewave amplitude estimates.
Funding source: Fundação para a Ciência e a Tecnologia 10.13039/501100001871
Award Identifier / Grant number: FCT.CPCA.2022.01
Award Identifier / Grant number: UIDB/50008/2020
About the author
Francisco André Corrêa Alegria was born in Lisbon, Portugal, on July 2, 1972. He received the Diploma, M.S., and Ph.D. degrees in electrical engineering and computers from the Instituto Superior Técnico (IST), Technical University of Lisbon, in 1995, 1997, and 2002, respectively. Since 1994, he has been a member of the instrumentation and measurement research line at the Instituto de Telecomunicações, Technical University of Lisbon. Since 1997, he has been a member of the teaching and research staff of IST where he is now Associate Professor with Habilitation. His current research interests include analog-to-digital-converter characterization techniques, automatic measurement systems, and computer vision.
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Research ethics: Not applicable.
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Author contributions: The author have accepted responsibility for the entire content of this manuscript and approved its submission.
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Competing interests: The author states no conflict of interest.
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Research funding: This work was supported in by Fundação para Ciência e a Tecnologia under the research projects UIDB/50008/2020 and FCT.CPCA.2022.01.
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Data availability: Not applicable.
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Articles in the same Issue
- Frontmatter
- Research Articles
- Messsystem zur Dehnungsmessung von Faserwerkstoffen basierend auf subjektiven Laser-Speckle-Mustern
- In-field calibration of triaxial accelerometer based on PE-ANGO
- Charakterisierung eines parallelkinematisch aktuierten In-situ-Referenzmesssystems für 5D-Nanomess- und Fabrikationsanwendungen
- Number of samples to use in estimating sinewave amplitude in the presence of noise
- Real-time imaging-ellipsometry on cylindrical substrates with a polarization camera
- Fault diagnosis using signal processing and deep learning-based image pattern recognition
- Erratum
- Erratum to: Potentials and challenges of deep-learning-assisted porosity prediction based on thermographic in-situ monitoring in laser powder bed fusion
