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Spectra for the Product of Gaussian Noises
Uppsala University, Disciplinary Domain of Science and Technology, Technology, Department of Engineering Sciences, Solid State Physics.
2012 (English)In: METROL MEAS SYST, ISSN 0860-8229, Vol. 19, no 4, 653-658 p.Article in journal (Refereed) Published
Abstract [en]

Products of Gaussian noises often emerge as the result of non-linear detection techniques or as parasitic effects, and their proper handling is important in many practical applications, including fluctuation-enhanced sensing, indoor air or environmental quality monitoring, etc. We use Rice's random phase oscillator formalism to calculate the power density spectra variance for the product of two Gaussian band-limited white noises with zero-mean and the same bandwidth W. The ensuing noise spectrum is found to decrease linearly from zero frequency to 2W, and it is zero for frequencies greater than 2W. Analogous calculations performed for the square of a single Gaussian noise confirm earlier results. The spectrum at non-zero frequencies, and the variance of the square of a noise, is amplified by a factor two as a consequence of correlation effects between frequency products. Our analytic results are corroborated by computer simulations.

Place, publisher, year, edition, pages
2012. Vol. 19, no 4, 653-658 p.
Keyword [en]
fluctuation-enhanced sensing, correlation detectors, indoor and environmental air quality sensing
National Category
Engineering and Technology
Research subject
Engineering Science with specialization in Solid State Physics
URN: urn:nbn:se:uu:diva-193652ISI: 000312913400003OAI: oai:DiVA.org:uu-193652DiVA: diva2:603344
Available from: 2013-02-05 Created: 2013-02-05 Last updated: 2013-03-04Bibliographically approved

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Granqvist, Claes-Göran
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