Statistics in Scientific Investigation

McPherson, Glen

doi:10.1007/978-1-4757-4290-9

Cited by 74 publications

(26 citation statements)

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“…A regression curve, based on correlation theory and applied to each series of results, certifies this allegation. The fitting criterion is the correlation coefficient R [17], with an absolute magnitude converging to unity. The exponential variation is absolutely prospective according to the studies presented in [13,18,19] and provides an additional verification of the enforced FDTD algorithm.…”

Section: Homogeneous Phantommentioning

confidence: 99%

“…This expression provides rather accurate results of the peak SAR values induced in the human head in terms of the current on the antenna. A correlation between the peak and average SAR values and the SWR on the helix, based on the regression theory [17], demonstrates that the absorption mechanism at the user's head can be predicted by means of data from the handset antenna. This latter suggestion was indeed verified for dipole antennas by the findings presented in [18][19][20].…”

Section: Introductionmentioning

confidence: 99%

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Theoretical Approach of the Interaction Between a Human Head Model and a Mobile Handset Helical Antenna Using Numerical Methods

Kouveliotis¹,

Panagiotou²,

Varlamos³

et al. 2006

PIER

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Abstract-The interaction of a helical antenna, mounted on a mobile handset, with a human head phantom is investigated in this paper. Using the Genetic Algorithms (GA) technique combined with the Method of Moments (MoM), an optimization of the antenna structure is achieved regarding the input impedance at the operating frequency. The Finite Difference Time Domain (FDTD) method is then applied to simulate the handset's function in the close region of a spherical homogeneous and heterogeneous head phantom. A formula, based on an application of an existing model proposed by Kuster and Balzano for dipole antennas, provides a rather accurate prediction of the induced Specific Absorption Rate (SAR) values in the human head due to the radiating helical antenna. The concept of relating the SAR to the current on the antenna is used in this study to formulate the final expression. Moreover, using the theory of regression, the results of the calculated peak or average SAR are correlated with the distance between the antenna and phantom and with the standing wave ratio (SWR) at the antenna feed point. Thus, the conception that the SAR is indeed related to the antenna operational parameters is reinforced by the outcome of the current study.

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Section: Homogeneous Phantommentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Theoretical Approach of the Interaction Between a Human Head Model and a Mobile Handset Helical Antenna Using Numerical Methods

Kouveliotis¹,

Panagiotou²,

Varlamos³

et al. 2006

PIER

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show abstract

“…Each SAR value was normalized to the antenna radiated power at every examined position. In the same Figures, an approximation formula that best fits the variation of the SAR with distance d was also evaluated with the least-squares method used in regression theory [33]. The correlation coefficient r, used to determine the correlation between the regression curve and the sample points is expressed in Equation (5) [33].…”

Section: Simulation Resultsmentioning

confidence: 99%

“…The input impedance is simultaneously calculated at different positions of the antenna with respect to the phantom. With the use of regression and correlation theory [33], a least-squares fit is applied to the simulation results providing an accurate prediction of the level of the SAR (peak or average) based on the distance between dipole and sphere or the standing wave ratio (SWR) on the antenna feedpoint. The simulation occurred for two different frequencies at 905 MHz and 1790 MHz which are at the modern mobile terminals' frequency region.…”

Section: Introductionmentioning

confidence: 99%

Prediction of the Sar Level Induced in a Dielectric Sphere by a Thin Wire Dipole Antenna

Kouveliotis¹,

Capsalis²

2008

PIER

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Abstract-The interaction between a dipole antenna, representing a simplified model of a mobile terminal, and a homogeneous spherical model of the human head is examined. The Finite Difference Time Domain (FDTD) method is utilized, to calculate the either peak or average value of the Specific Absorption Rate (SAR), corresponding to different distances between antenna and phantom. The variation of the SAR with the distance between the mobile antenna and the human phantom has gained significant attention in the recent literature and is investigated here. An attempt to correlate the computed SAR values with the basic antenna characteristics, such as the standing wave ratio (SWR), reveals that a precise estimation of the level of the SAR can be achieved regarding data acquired from the mobile terminal.

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“…Due to the Central Limit Theorem, random variables like V usually have normal distribution (e.g., McPherson, 1990). The expected (mean) value of V was set to zero (equation 8).…”

Section: Construction Of the Cave Modelmentioning

confidence: 99%

Karst porosity estimations from archive cave surveys - Studies in the Buda Thermal Karst System (Hungary)

Albert¹,

Virág²,

Erőss³

2015

IJS

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Abstract:The Buda Thermal Karst System is located under the densely populated hills of Budapest. One of its caves (Pál-völgy Cave System) is the longest cave of Hungary with 30.1 km. The research was done in this area as a methodological study to estimate karst porosity parameters of aquifers or hydrocarbon reservoirs. In this study two modeling methods are demonstrated. The volumetric modeling method was primarily aimed to determine the macro-scale (>0.5 m) conduit porosity (referred as macroporosity) of the study area as percentage of the incorporating limestone and marl. This method is based on archive survey data (maps and records). Through this method, morphometric parameters and the approximate sizes of the unexplored cave parts were also calculated. The porosity modeling was aimed at the estimation of the meso-scale (0.02-0.5 m) and macro-scale conduit porosity. It is based on rock face measurements near the Pál-völgy Cave System and image analysis. The matching macroporosity estimations of the two methods suggest that the map-based volumetric modeling method can be a useful tool for karstologists and modeling experts to extract as much information as possible from existing cave maps, even if the records of the original survey were lost or scanty. With the matrix porosity data published earlier from this area, and the conduit porosity calculated from the models, hydrological models of the area can be completed.cave surveys; karst porosity; 3D models; Buda Thermal Karst System; porosity model

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Statistics in Scientific Investigation

Cited by 74 publications

References 0 publications

Theoretical Approach of the Interaction Between a Human Head Model and a Mobile Handset Helical Antenna Using Numerical Methods

Theoretical Approach of the Interaction Between a Human Head Model and a Mobile Handset Helical Antenna Using Numerical Methods

Prediction of the Sar Level Induced in a Dielectric Sphere by a Thin Wire Dipole Antenna

Karst porosity estimations from archive cave surveys - Studies in the Buda Thermal Karst System (Hungary)

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