Correlation Coefficient Calculation and Simulation in Antenna Diversity

2012 ◽  
Vol 220-223 ◽  
pp. 1949-1952
Author(s):  
Ling Ling Kan ◽  
Hong Wei Liang ◽  
Bing Kun Gao ◽  
Xiu Fang Wang ◽  
Hong Li
Keyword(s):  
Correlation Coefficient ◽  
Smart Antenna ◽  
Closed Form Solution ◽  
Form Solution ◽  
Design Tool ◽  
Fourth Generation ◽  
Antenna Diversity ◽  
Pattern Diversity ◽  
Pattern Distribution ◽  
Diversity Systems

Smart antenna is the critical technique of the third mobile communication, and will become the key technology in the fourth generation communication. The benefits of pattern diversity increase as the incoming pattern distribution becomes more isotropic, so that the research on correlation coefficient in antenna diversity is very critical. This research reviews the related definitions of antenna diversity as well as the related parameters, and then introduces our algorithm to develop closed form solution to calculate correlation coefficient, which provides a generalized method of determining the efficacy of an antenna diversity system. The correlation coefficient calculation is simulated with MATLAB. The simulation results show that the method is efficient and flexible, which will serve as a design tool when constructing pattern diversity systems.

scholarly journals On the impact of antenna diversity in IEEE 802.11b DCF with capture

2004 ◽  
Vol 17 (1) ◽  
pp. 41-52
Author(s):  
Zoran Velkov-Hadzi ◽  
Boris Spasenovski
Keyword(s):  
Closed Form ◽  
Closed Form Solution ◽  
Access Point ◽  
Form Solution ◽  
Capture Probability ◽  
Antenna Diversity ◽  
Ieee 802.11B ◽  
Selection Diversity ◽  
Maximum Selection ◽  
The Impact

In this paper, we examined the influence of capture effect with L-fold antenna diversity at the Access Point over IEEE 802.11b DCF. We obtained an exact closed-form solution for the conditional capture probability in case of ideal selection diversity, and an approximate closed-form solution for the conditional capture probability in case of maximum selection diversity in a Rayleigh-faded channel. Obtained analytical expressions have general significance and can be applied for any other multiple access wireless network. We also analytically evaluated saturation throughput increase of the IEEE 802.11b DCF protocol exposed to capture.

A New Solution to Coulomb Friction in Mechanism Bearings: Theory and Application

1981 ◽  
Vol 103 (4) ◽  
pp. 764-775 ◽  
Author(s):  
I. Imam ◽  
M. Skreiner ◽  
J. P. Sadler
Keyword(s):  
Coulomb Friction ◽  
Circuit Breaker ◽  
Closed Form Solution ◽  
Form Solution ◽  
Design Tool ◽  
Operating Conditions ◽  
Equilibrium Equations ◽  
Simplified Approach ◽  
Novel Approach ◽  
In Series

A new approximate closed form solution is presented for analyzing Coulomb friction in mechanism bearings. This is accomplished by linearizing the nonlinear terms of the equilibrium equations by a novel approach. The method, based on the traditional friction circle concepts, is particularly well suited to computers and proceeds to the solution without the need for any numerical methods or iterative steps as has previously been required. Further, only a pair of simultaneous equations is solved at a time, thus eliminating the need for a complete matrix inversion. It is believed that this simplified approach will be more readily usable in actual design situations where consideration of bearing friction is of considerable importance. A number of analytical validity checks were applied that successfully verified the adequacy of this new approach. As an example, the theory is applied to various models of a class of circuit breaker mechanisms, consisting of five four-bar linkages in series under different operating conditions. In all cases, the analytical results compare very favorably with the test data, thus establishing the method as a valuable practical design tool.

On a Closed-Form Solution of Prandtl's System of Equations

2013 ◽  
Vol 40 (2) ◽  
pp. 106-114
Author(s):  
J. Venetis ◽  
Aimilios (Preferred name Emilios) Sideridis
Keyword(s):  
Closed Form ◽  
Closed Form Solution ◽  
Form Solution ◽  
System Of Equations

Plane Wave Resonance in the Tire Air Cavity as a Vehicle Interior Noise Source

1995 ◽  
Vol 23 (1) ◽  
pp. 2-10 ◽  
Author(s):  
J. K. Thompson
Keyword(s):  
Closed Form Solution ◽  
Form Solution ◽  
Interior Noise ◽  
Cavity Resonance ◽  
Test Results ◽  
Vehicle Interior ◽  
Air Cavity ◽  
Vehicle Interior Noise ◽  
Wave Resonance ◽  
Resonance Frequencies

Abstract Vehicle interior noise is the result of numerous sources of excitation. One source involving tire pavement interaction is the tire air cavity resonance and the forcing it provides to the vehicle spindle: This paper applies fundamental principles combined with experimental verification to describe the tire cavity resonance. A closed form solution is developed to predict the resonance frequencies from geometric data. Tire test results are used to examine the accuracy of predictions of undeflected and deflected tire resonances. Errors in predicted and actual frequencies are shown to be less than 2%. The nature of the forcing this resonance as it applies to the vehicle spindle is also examined.

Capacity Analysis for Correlated Multi-Hop MIMO Channels under Colored Noise

2015 ◽  
Vol 1 ◽  
pp. 41
Author(s):  
Nguyen N. Tran ◽  
Ha X. Nguyen
Keyword(s):  
Computational Complexity ◽  
Mutual Information ◽  
Closed Form Solution ◽  
Optimal Solution ◽  
Form Solution ◽  
Maximization Problem ◽  
Capacity Analysis ◽  
Mimo Channels ◽  
Average Mutual Information ◽  
Channel Output

A capacity analysis for generally correlated wireless multi-hop multi-input multi-output (MIMO) channels is presented in this paper. The channel at each hop is spatially correlated, the source symbols are mutually correlated, and the additive Gaussian noises are colored. First, by invoking Karush-Kuhn-Tucker condition for the optimality of convex programming, we derive the optimal source symbol covariance for the maximum mutual information between the channel input and the channel output when having the full knowledge of channel at the transmitter. Secondly, we formulate the average mutual information maximization problem when having only the channel statistics at the transmitter. Since this problem is almost impossible to be solved analytically, the numerical interior-point-method is employed to obtain the optimal solution. Furthermore, to reduce the computational complexity, an asymptotic closed-form solution is derived by maximizing an upper bound of the objective function. Simulation results show that the average mutual information obtained by the asymptotic design is very closed to that obtained by the optimal design, while saving a huge computational complexity.

scholarly journals Geometric Average Asian Option Pricing with Paying Dividend Yield under Non-Extensive Statistical Mechanics for Time-Varying Model

Entropy ◽  
2018 ◽  
Vol 20 (11) ◽  
pp. 828 ◽  
Author(s):  
Jixia Wang ◽  
Yameng Zhang
Keyword(s):  
Statistical Mechanics ◽  
Option Pricing ◽  
Asset Price ◽  
Closed Form Solution ◽  
Real Data ◽  
Form Solution ◽  
Asian Option ◽  
Time Varying ◽  
Dividend Yield ◽  
Geometric Average

This paper is dedicated to the study of the geometric average Asian call option pricing under non-extensive statistical mechanics for a time-varying coefficient diffusion model. We employed the non-extensive Tsallis entropy distribution, which can describe the leptokurtosis and fat-tail characteristics of returns, to model the motion of the underlying asset price. Considering that economic variables change over time, we allowed the drift and diffusion terms in our model to be time-varying functions. We used the I t o ^ formula, Feynman–Kac formula, and P a d e ´ ansatz to obtain a closed-form solution of geometric average Asian option pricing with a paying dividend yield for a time-varying model. Moreover, the simulation study shows that the results obtained by our method fit the simulation data better than that of Zhao et al. From the analysis of real data, we identify the best value for q which can fit the real stock data, and the result shows that investors underestimate the risk using the Black–Scholes model compared to our model.

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