Mathematical Analysis of Random Noise-Conclusion

Journal Article•

Mathematical Analysis of Random Noise-Conclusion

01 Jan 1945-Bell System Technical Journal-Vol. 24, pp 46-156

About: This article is published in Bell System Technical Journal.The article was published on 1945-01-01 and is currently open access. It has received 807 citations till now.

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Journal Article•DOI•

About Forecasting Air Pollution in the Construction of Highways

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N. Barikayeva, D. Nikolenko, J. Ivanova

01 Dec 2018

TL;DR: In this article, the main sources of the release of pollutants into the atmosphere during the construction and repair of the motor road were considered, namely: construction machinery; dust particles from the surface of the roadbed, sections of the pavement device, storage areas for loose building materials, etc.

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Abstract: The article considers the main types of environmental pollution in the construction of highways. First of all, they are the formation of dust (during the movement of transport, during the transportation of building materials, as well as in a number of technological operations) and the noise effect created by operating machinery. All the factors affecting the ecological situation in the residential area of road construction have been analyzed. The harmful content and elemental composition of fine dust (PM10 and PM2.5) during the construction period was investigated. The main sources of the release of pollutants into the atmosphere during the construction and repair of the motor road were considered namely: construction machinery; dust particles from the surface of the roadbed, sections of the pavement device, storage areas for loose building materials, etc. It is shown that the PM10 and PM2.5 dust concentrations can be considered as random quantities, and approaches to their prediction are also proposed.

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4 citations

Journal Article•DOI•

Crossing statistics of laser light scattered through a nanofluid.

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M. Arshadi Pirlar, S. M. S. Movahed¹, D. Razzaghi, Rouhollah Karimzadeh¹•Institutions (1)

Shahid Beheshti University¹

01 Sep 2017-Journal of The Optical Society of America A-optics Image Science and Vision

TL;DR: The crossing statistics of speckle patterns formed in the Fresnel diffraction region by a laser beam scattering through a nanofluid are investigated and generalized total crossing, which represents the weighted summation of crossings for all thresholds to quantify small deviation from Gaussian statistics, is introduced.

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Abstract: In this paper, we investigate the crossing statistics of speckle patterns formed in the Fresnel diffraction region by a laser beam scattering through a nanofluid. We extend zero-crossing statistics to assess the dynamical properties of the nanofluid. According to the joint probability density function of laser beam fluctuation and its time derivative, the theoretical frameworks for Gaussian and non-Gaussian regimes are revisited. We count the number of crossings not only at zero level but also for all available thresholds to determine the average speed of moving particles. Using a probabilistic framework in determining crossing statistics, a priori Gaussianity is not essentially considered; therefore, even in the presence of deviation from Gaussian fluctuation, this modified approach is capable of computing relevant quantities, such as mean value of speed, more precisely. Generalized total crossing, which represents the weighted summation of crossings for all thresholds to quantify small deviation from Gaussian statistics, is introduced. This criterion can also manipulate the contribution of noises and trends to infer reliable physical quantities. The characteristic time scale for having successive crossings at a given threshold is defined. In our experimental setup, we find that increasing sample temperature leads to more consistency between Gaussian and perturbative non-Gaussian predictions. The maximum number of crossings does not necessarily occur at mean level, indicating that we should take into account other levels in addition to zero level to achieve more accurate assessments.

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4 citations

Journal Article•DOI•

Statistical analysis of multipath fading channels using generalizations of shot noise

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Charalambos D. Charalambous¹, Seddik M. Djouadi², Christos K. Kourtellaris¹•Institutions (2)

University of Cyprus¹, University of Tennessee²

01 Jan 2008-Eurasip Journal on Wireless Communications and Networking

TL;DR: This paper provides a connection between the shot-noise analysis of Rice and the statistical analysis of multipath fading wireless channels when the received signals are a low-pass signal and a bandpass signal.

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Abstract: This paper provides a connection between the shot-noise analysis of Rice and the statistical analysis of multipath fading wireless channels when the received signals are a low-pass signal and a bandpass signal. Under certain conditions, explicit expressions are obtained for autocorrelation functions, power spectral densities, and moment-generating functions. In addition, a central limit theorem is derived identifying the mean and covariance of the received signals, which is a generalization of Campbell's theorem. The results are easily applicable to transmitted signals which are random and to CDMA signals.

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4 citations

Cites background or methods from "Mathematical Analysis of Random Noi..."

...[7] S. O. Rice, “Mathematical analysis of random noise— conclusion,” Bell Systems Technical Journal, vol. 24, pp. 46–156, 1945....
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...[8] S. O. Rice, “Mathematical analysis of random noise,” Bell Systems Technical Journal, vol. 23, pp. 282–332, 1944....
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..., is arbitrary, by performing an analysis which can be viewed as a generalization of the shot-noise analysis investigated by Rice [7, 8] in the mid 1940’s....
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...This is a generalization of the Gaussianity of shot noise described by Rice in [7, 8]....
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...Hindawi Publishing Corporation EURASIP Journal on Wireless Communications and Networking Volume 2008, Article ID 186020, 9 pages doi:10.1155/2008/186020 Research Article Statistical Analysis of Multipath Fading Channels Using Generalizations of Shot Noise Charalambos D. Charalambous,1 Seddik M. Djouadi,2 and Christos Kourtellaris1 1 Department of Electrical and Computer Engineering, University of Cyprus, Nicosia 1678, Cyprus 2 Department of Electrical Engineering and Computer Science, University of Tennessee, Knoxville, TN 37996, USA Correspondence should be addressed to Charalambos D. Charalambous, chadcha@ucy.ac.cy Received 3 December 2007; Revised 30 March 2008; Accepted 22 July 2008 Recommended by Xueshi Yang This paper provides a connection between the shot-noise analysis of Rice and the statistical analysis of multipath fading wireless channels when the received signals are a low-pass signal and a bandpass signal....
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Journal Article•DOI•

Random thermal fatigue in fast breeder reactor: a narrow-band spectrum

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Hiroaki Tanaka¹, Michiko Toyoda¹•Institutions (1)

Kyoto University¹

02 Feb 1996-Nuclear Engineering and Design

TL;DR: In this paper, the authors investigated thermal fatigue crack growth in a fast breeder reactor with the aid of probabilistic fracture mechanics under the conditions that the temperature variation is a narrow-band stationary process and the crack grows owing only to the peak stress variation.

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4 citations

Journal Article•DOI•

Designing random vibration tests

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Ludomir M. Laudański¹•Institutions (1)

Rzeszów University of Technology¹

01 Sep 1996-International Journal of Non-linear Mechanics

TL;DR: Two concepts of digital simulation of samples of the stationary Gaussian stochastic processes possessing multi-modal spectra applied in order to imitate dynamic loads arising on an airplane undergoing gusty flying conditions, finding the particular spectra typical for an airplane gust study were involved.

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Abstract: The paper provides information about two concepts of digital simulation of samples of the stationary Gaussian stochastic processes possessing multi-modal spectra. They have been applied in order to imitate dynamic loads arising on an airplane undergoing gusty flying conditions. Therefore the particular spectra typical for an airplane gust study were involved, reflecting also elastic properties of the flying vehicle. The presented details are devoted to the problem of solving the system of algebraic non-linear equations describing the desired linear filter. At this stage the given results can be also applied in studying earthquakes, modelling gusty winds for civil engineering and other purposes.

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4 citations

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Mathematical Analysis of Random Noise-Conclusion

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