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Spectra for the product of Gaussian noises

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Identyfikatory
Warianty tytułu
Języki publikacji
PL
Abstrakty
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.
Rocznik
Strony
653--658
Opis fizyczny
Bibliogr. 13 poz., rys., wykr.
Twórcy
autor
autor
autor
  • Texas A&M University, Department of Electrical and Computer Engineering, College Station, TX 77843-3128, USA, Laszlo.Kish@ece.tamu.edu
Bibliografia
  • [1] Kish, L.B., Vajtai, R., Granqvist, C.G. (2000). Extracting information from noise spectra of chemical sensors: Single sensor electronic noses and tongues. Sensors and Actuators B, 71, 55-59.
  • [2] Smulko, J., Ederth, J., Kish, L.B., Heszler, P., Granqvist, C.G. (2004). Higher-order spectra in nanoparticle gas sensors. Fluctuation and Noise Letters, 4, L597-L603.
  • [3] Ederth, J., Smulko, J.M., Kish, L.B., Heszler P., Granqvist, C.G. (2006). Comparison of classical and fluctuation-enhanced gas sensing with PdxWO3 nanoparticle films. Sensors and Actuators B, 113, 310-315.
  • [4] Kish, L.B., Li, Y., Solis, J.L., Marlow, W.H., Vajtai, R., Granqvist, C.G., Lantto, V., Smulko, J.M., Schmera, G. (2005). Detecting harmful gases using fluctuation-enhanced sensing. IEEE Sensors Journal, 5, 671-676.
  • [5] Kish, L.B., Chang, H.C., King, M.D., Kwan, C. Jensen, J.O., Schmera, G., Smulko, J., Gingl, Z., Granqvist C.G. (2011). Fluctuation-enhanced sensing for biological agent detection and identification. IEEE Nanotechnology, 10, 1238-1242.
  • [6] Gingl, Z., Kish, L.B., Ayhan, B., Kwan, C., Granqvist, C.G. (2010). Fluctuation-enhanced sensing with zero-crossing analysis for high-speed and low-power applications. IEEE Sensor Journal, 10, 492-497.
  • [7] Schmera, G., Gingl, Z., Kish, L.B., Ayhan, B., Kwan, Granqvist, C.G., (2010). Separating chemical signals of adsorption-desorption and diffusive processes. IEEE Sensors Journal, 10, 461-464.
  • [8] Granqvist, C.G., Azens, A., Heszler, P., Kish, L.B., Österlund L. (2007). Nanomaterials for benign indoor environments: Electrochromics for “smart windows”, sensors for air quality, and photo-catalysts for air cleaning. Solar Energy Materials and Solar Cells, 91, 355-365.
  • [9] Smith, G.B., Granqvist, C.G. (2010). Green Nanotechnology: Solutions for Sustainability and Energy inthe Built Environment. CRC Press, Boca Raton, FL, USA.
  • [10] Rice, S.O. (1944). Mathematical analysis of random noise. Bell System Technical Journal, 23, 282-332.
  • [11] Bennett, W.R. (1940). Cross-modulation requirements of multichannel amplifiers below overload. Bell System Technical Journal, 19, 587-610.
  • [12] Normal Product Distribution, Wolfram Mathworld. http://mathworld.wolfram.com/NormalProductDistribution.html
  • [13] Catelani, M., Zanobini, A., Ciani, L. (2010). Uncertainty interval evaluation using the Chi-square and Fisher distributions in the measurement process. Metrol. Meas. Syst., 17(2), 195-204.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BSW1-0106-0002
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