scholarly journals Elementary linear filtering tasks using CNNs with minimum-size templates

2003 ◽  
Vol 13 (1) ◽  
pp. 47-53 ◽  
Author(s):  
Radu Matei ◽  
Liviu Goraç
Keyword(s):  
Cellular Neural Network ◽  
Minimum Size ◽  
Linear Filtering ◽  
Frequency Bandwidth ◽  
Central Frequency ◽  
One Dimensional ◽  
Filter Type ◽  
The One ◽  
Parameter Values ◽  
Spatial Transfer Function

In this paper we investigate the linear filtering capabilities of the standard cellular neural network in the general case of non-symmetric templates. We approached here systematically the CNNs with minimum-size templates (1x3), analyzing in detail their filtering capabilities in the one-dimensional case. Starting from a general form of the spatial transfer function, we emphasize some useful filtering functions that can be obtained. For each filter type, we derive the relations which give the template parameter values, in order to design a given CNN filter with specified characteristics-like central frequency, bandwidth, selectivity etc. Filters with symmetric templates are treated as a particular case. For each type of filtering the characteristics are shown and simulation results are presented as well. Some of these results are then extended to 2-D CNNs and several simulations of useful filtering tasks are presented on real images.

scholarly journals Analytical solution of one-dimensional Pennes’ bioheat equation

Open Physics ◽  
2020 ◽  
Vol 18 (1) ◽  
pp. 1084-1092
Author(s):  
Hongyun Wang ◽  
Wesley A. Burgei ◽  
Hong Zhou
Keyword(s):  
Analytical Solution ◽  
Radiofrequency Energy ◽  
Bioheat Equation ◽  
Surface Cooling ◽  
One Dimensional ◽  
The Fourier Transform ◽  
The One ◽  
Parameter Values ◽  
Mathematical Derivation ◽  
Effect Of Surface

Abstract Pennes’ bioheat equation is the most widely used thermal model for studying heat transfer in biological systems exposed to radiofrequency energy. In their article, “Effect of Surface Cooling and Blood Flow on the Microwave Heating of Tissue,” Foster et al. published an analytical solution to the one-dimensional (1-D) problem, obtained using the Fourier transform. However, their article did not offer any details of the derivation. In this work, we revisit the 1-D problem and provide a comprehensive mathematical derivation of an analytical solution. Our result corrects an error in Foster’s solution which might be a typo in their article. Unlike Foster et al., we integrate the partial differential equation directly. The expression of solution has several apparent singularities for certain parameter values where the physical problem is not expected to be singular. We show that all these singularities are removable, and we derive alternative non-singular formulas. Finally, we extend our analysis to write out an analytical solution of the 1-D bioheat equation for the case of multiple electromagnetic heating pulses.

scholarly journals Estimating flood inundation and the consequent economic losses in the Koiliaris river basin in Crete, Greece

2013 ◽  
Vol 14 (3) ◽  
pp. 284-293
Keyword(s):  
River Basin ◽  
Econometric Model ◽  
Economic Losses ◽  
One Dimensional ◽  
Flood Duration ◽  
Integrated Method ◽  
Integrated Methodology ◽  
Flood Loss ◽  
The One ◽  
Parameter Values

Local communities may experience flood events with devastating damages and economic losses. This work presents the application of an integrated method for flood loss estimation at the watershed level. The one-dimensional hydraulic model MIKE 11 was used to simulate the physical process of a flood event in a river channel and its floodplains. Flood parameters such as flood extent, floodplain water depth and flood duration were estimated. The parameter values obtained from the simulation were used for the estimation of flood loss. A grid-based mathematical model taking into account land use in the study area was used for this purpose. Such an econometric model is capable of determining flood-prone areas as well as estimating the economic losses associated with a flood event. This integrated methodology was applied to the Koiliaris River Basin in Crete, Greece.

A stochastic resonator in a layered semiconductor device

2021 ◽  
Author(s):  
Tibebe Birhanu ◽  
Yoseph Abebe ◽  
Lemi Demeyu ◽  
Mesfin Taye ◽  
Mulugeta Bekele
Keyword(s):  
Background Noise ◽  
Semiconductor Device ◽  
Weak Signal ◽  
Layered Semiconductor ◽  
One Dimensional ◽  
The One ◽  
Parameter Values ◽  
Potential Landscape ◽  
Double Well Potential ◽  
Tunable Oscillator

In this paper, we propose a device that picks up a periodic but weak signal by amplifying it assisted by the existing background noise. The device consists of a doped layered semiconductor with three gates that generate a one-dimensional double-well potential along the semiconductor. A laser coolant is to be shined on the other side of the central gate perpendicular to the one-dimensional layer causing triple-well potential. A weak tunable oscillator imposed parallel to the layer that rocks the potential landscape can pick up an incoming signal of interest as a result of resonance. To justify the model, we carried out analytic calculation as well as Monte Carlo simulation. The two approaches agree reasonably well for all the different parameter values we used.

scholarly journals Multidimensional Inequality in Vietnam, 2002–2012

Economies ◽  
2020 ◽  
Vol 8 (2) ◽  
pp. 29
Author(s):  
Thi Kim Thanh Bui ◽  
Guido Erreygers
Keyword(s):  
Household Survey ◽  
Well Being ◽  
Value Judgments ◽  
Human Welfare ◽  
One Dimensional ◽  
Four Dimensions ◽  
Multidimensional Inequality ◽  
Household Survey Data ◽  
The One ◽  
Parameter Values

We investigate the evolution of multidimensional inequality of well-being in Vietnam in the period 2002–2012 using household survey data. Our study focuses on four crucial dimensions of human welfare: consumption, education, health and housing. We measure inequality by means of the multidimensional Atkinson index, which belongs to the Atkinson family of relative inequality indices. The choice of the values of two crucial parameters, with respect to the aversion to inequality on the one hand and the degree of substitutability between dimensions on the other hand, has a significant influence on the perceived trends of inequality. We consider different combinations of dimensions (two, three and four dimensions) and a wide variety of values of the parameters, with the aim of arriving at a robust understanding of the extent of inequality in Vietnam. Our results suggest that the level of multidimensional inequality in Vietnam has decreased, albeit that this is not the case for all combinations of the parameter values. Our study shows that looking at multidimensional rather than one-dimensional inequality leads to a richer understanding of the evolution of inequality, and indicates that it is important to be aware of the influence of value judgments on the assessment of inequality.

A CELL-CENTERED LAGRANGIAN SCHEME FOR COMPRESSIBLE MULTI-MEDIUM FLOW

2010 ◽  
Vol 24 (13) ◽  
pp. 1283-1286
Author(s):  
DONGHONG WANG ◽  
NING ZHAO ◽  
YONGJIAN WANG
Keyword(s):  
Space Dimension ◽  
Two Dimensions ◽  
Test Cases ◽  
One Dimensional ◽  
Minimal Error ◽  
Medium Flow ◽  
A Cell ◽  
The One ◽  
Parameter Values ◽  
Lagrangian Scheme

In this paper, a kind of Godunov-type Lagrangian scheme is developed in the one space dimension. The Riemann problems are constructed at the interface and the velocity and pressure are evaluated using an implicit characteristic method. Two different methods are used to solve for the equation of energy conservation. Four one-dimensional numerical examples are first presented to obtain the parameter through comparison of the L1 errors with the changing parameter values. The method having the minimal error is then extended to two dimensions and a cell-centered conservative Lagrangian scheme is proposed for the compressible multi-medium flow. The numerical results for some classical two dimensional hydrodynamic test cases show that the proposed numerical methods are effective and feasible.

SOME PROPERTIES OF A TWO-DIMENSIONAL PIECEWISE-LINEAR NONINVERTIBLE MAP

1996 ◽  
Vol 06 (12a) ◽  
pp. 2299-2319 ◽  
Author(s):  
CHRISTIAN MIRA ◽  
CHRISTINE RAUZY ◽  
YURI MAISTRENKO ◽  
IRINA SUSHKO
Keyword(s):  
Fixed Points ◽  
Piecewise Linear ◽  
Two Dimensional ◽  
One Dimensional ◽  
Critical Curves ◽  
Unstable Set ◽  
Rank One ◽  
Characteristic Features ◽  
The One ◽  
Parameter Values

Properties of a piecewise-linear noninvertible map of the plane are studied by using the method of critical curves (two-dimensional extension of the notion of critical point in the one-dimensional case). This map is of (Z0–Z2) type, i.e. the plane consists of a region without preimage, and a region giving rise to two rank one preimages. For the considered parameter values, the map has two saddle fixed points. The characteristic features of the “mixed chaotic area” generated by this map, and its bifurcations (some of them being of homoclinic and heteroclinic type) are examined. Such an area is bounded by the union of critical curves segments and segments of the unstable set of saddle cycles.

Exploring the Multidimensional Facets of Authoritarianism: Authoritarian Aggression and Social Dominance Orientation

2008 ◽  
Vol 67 (1) ◽  
pp. 51-60 ◽  
Author(s):  
Stefano Passini
Keyword(s):  
Social Dominance ◽  
Factor Model ◽  
Three Dimensional ◽  
Social Dominance Orientation ◽  
Model Fit ◽  
Regression Analyses ◽  
One Dimensional ◽  
Confirmatory Factor ◽  
The One ◽  
Better Than

The relation between authoritarianism and social dominance orientation was analyzed, with authoritarianism measured using a three-dimensional scale. The implicit multidimensional structure (authoritarian submission, conventionalism, authoritarian aggression) of Altemeyer’s (1981, 1988) conceptualization of authoritarianism is inconsistent with its one-dimensional methodological operationalization. The dimensionality of authoritarianism was investigated using confirmatory factor analysis in a sample of 713 university students. As hypothesized, the three-factor model fit the data significantly better than the one-factor model. Regression analyses revealed that only authoritarian aggression was related to social dominance orientation. That is, only intolerance of deviance was related to high social dominance, whereas submissiveness was not.

Adiabatic large polarons in anisotropic molecular crystals

2011 ◽  
Vol 35 (1) ◽  
pp. 15-27
Author(s):  
Zoran Ivić ◽  
Željko Pržulj
Keyword(s):  
Energy Transfer ◽  
Effective Mass ◽  
Molecular Crystals ◽  
Single Chain ◽  
Proper Understanding ◽  
One Dimensional ◽  
Interchain Coupling ◽  
Large Polaron ◽  
The One

Adiabatic large polarons in anisotropic molecular crystals We study the large polaron whose motion is confined to a single chain in a system composed of the collection of parallel molecular chains embedded in threedimensional lattice. It is found that the interchain coupling has a significant impact on the large polaron characteristics. In particular, its radius is quite larger while its effective mass is considerably lighter than that estimated within the one-dimensional models. We believe that our findings should be taken into account for the proper understanding of the possible role of large polarons in the charge and energy transfer in quasi-one-dimensional substances.

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