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In this paper the probability density function of the SSC combiner output signal at one time instant and the joint probability density function of the SSC combiner output signal at two time instants are determined. Switch and Stay Combining (SSC) is considered. The presence of the Nakagami-m fading at the input is observed. The results are shown graphically for different variance values and decisi...Show More
In order to improve the computational efficiency of power system time series simulation, the redundancy of wind power and photovoltaic time series data should be reduced. At present, the time series data of wind-photovoltaic are aggregated separately, wind and pv correlation is not involved, reducing the accuracy and reliability of high-proportion renewable energy power system simulation. For this...Show More
Gaussian class multivariate distributions with single integral representations were recently proposed to obtain correlated fading channels with generalized correlation. In this letter, we focus on correlated generalized Rician fading channels, derived from Gaussian class multivariate distributions. We present a comprehensive investigation on the statistical properties of correlated generalized Ric...Show More
An algorithm that is capable not only of tracking multiple targets but also of “track management”—meaning that it does not need to know the number of targets as a user input—is of considerable interest. In this paper we devise a recursive track-managed filter via a quantized state-space (“bin”) model. In the limit, as the discretization implied by the bins becomes as refined as possible (infinites...Show More
The expressions for probability density function (PDF) of the Switch and Stay Combiner (SSC) output signal to noise ratio (SNR) at one time instant and the joint probability density function of the SSC combiner output signal to noise ratio at two time instants in the presence of α-μ fading are determined in this paper. Then, these expressions are used for calculation of the Outage probability and ...Show More
Simpler forms are derived for the properties of trivariate and quadrivariate Rayleigh distributions considered by Chen and TellamburaShow More
We consider the anomalous diffusion in the form of Lévy flights in one-dimensional and two-dimensional potentials. For one-dimensional case the correlation time of the steady-state Lévy flights in the bistable symmetric quartic potential potential is explored. We have found that the dependence of the correlation time on the barrier height for sufficiently high barriers obeys a power law unlike an ...Show More
In this letter, we derive new results for the statistics of the ratio of two complex Gaussian random variables (RVs), where the numerator and denominator may have arbitrary means and are possibly correlated. Exact expressions are derived for the joint probability density function (pdf) of the real and imaginary parts, for the joint pdf of the amplitude and phase, and also for the joint characteris...Show More
When assessing product life, the survival analysis is generally conducted in a time or usage domain. In certain instances, it is beneficial to investigate the impact of joint variables on product reliability, and in this case, the joint distribution of usage and time are considered. While it is simple to analyze unconditional probability density functions independently, the problem of statistical ...Show More
In the conventional system reliability, the fault probability of the bottom events is assumed as the determinate value. However, the fault probability of the bottom event is usually uncertain which would result that the system fault probability is uncertain. In order to evaluate the effect of the uncertainties of the fault probability on the system fault probability, based on the structure functio...Show More
Based on a set of input - output data, we first build a joint probability density function of certain two-dimensional random variables utilizing fuzzy inference rules, then propose its marginal probability density function and numerical characteristics. Finally, it is pointed out that the fuzzy system constructed with center of gravity defuzzifier is a regression function in the sense of probabili...Show More
In the recent years the possibility theory has been investigated by many Authors in the field of mathematics and engineering. A possibility distribution is, from the mathematical point of view, a generalization of a probability distribution, since it can represent a family of probability distributions. Given a probability distribution, different probability-possibility transformations have been de...Show More
This paper deals with some important statistical properties of the channel capacity of multiple-input-multiple-output (MIMO) systems with orthogonal space-time block code (OSTBC) transmission. We assume that all the subchannels are uncorrelated. For OSTBC-MIMO systems, exact closed-form expressions are derived for the probability density function (PDF), the cumulative distribution function (CDF), ...Show More
Computer perception of biological motion is key to developing convenient and powerful human-computer interfaces. Successful body tracking algorithms have been developed; however initialization is done by hand. We propose a method for detecting a moving human body and for labeling its parts automatically. It is based on maximizing the joint probability density function (PDF) of the position and vel...Show More
In this letter, we derive the exact joint probability density function (pdf) of the amplitude and phase of the product of two correlated non-zero mean complex Gaussian random variables with arbitrary variances. This distribution is useful in many problems, for example radar and communication systems. We determine the joint pdf in terms of an infinite summation of modified Bessel functions of the f...Show More
The goal of this paper to introduce two alternative definitions for the possibilistic correlation coefficient by equipping the level sets of a joint possibility distribution with nonuniform probability distributions which are directly derived from the shape function of the joint possibility distribution. We also show some examples for their exact calculation for joint possibility distributions def...Show More
Joint probability density algorithm (JPDA) is a novel algorithm in multi-sensor data fusion and it provides a new approach for target localization. Generally, more sensors could make higher precision of localization when JPDA is adopted, but there is no full theoretical support so far. According to the region of interesting (ROI) generated by JPDA in Cartesian coordinates, the information entropy ...Show More
In the problem of sensor integration, an important issue is to estimate the joint PDF of the measurements of sensors. However in practice, we may not have enough training data to have a good estimate. In this paper, we have constructed the joint PDF using an exponential family for classification. This method only requires the PDF under a reference hypothesis. Its performance has shown to be as goo...Show More
We suggest a novel bivariate normalization (BN) approach to evaluate distributions of electromagnetic fields in reverberation chambers. The BN approach is simpler and more cost effective than the conventional marginal probability density functions (MPDF) method. In our approach, we transform the complicated MPDF into simplified probability density functions using a normalization technique. In addi...Show More
This correspondence examines the joint conditional probability density function (PDF) of the main variables (envelope, phase, and their eta-order time derivatives) of a time-varying random signal in the presence of additive Gaussian noise. The main variables are conditioned with respect to the given variables, which are the amplitude, phase, and their derivatives of the signal alone. We prove a th...Show More
With the increase of the capacity of the power grid and the voltage level, the pollution flashover accidents of insulators in the power system frequently occur, which leads to the decrease of the stability of the power grid and affects the production and domestic electricity consumption. At present, the prediction of insulator pollution flashover mainly relies on the characteristic parameters obta...Show More
By adaptively approximating the characteristic function to the required power by cubic spline functions, the probability density function of a sum of pulse functions with random amplitude and delay, can be approximated with good accuracy and over a wide range. The efficacy of the approach is shown by the determination of the probability density function evolution of a pulse train. Simulation resul...Show More
This paper presents an evaluation of the bit error probability in the presence of the third-order intermodulation distortion (IMD) component generated by power amplifiers for the purpose of investigating the interference among different mobile systems. This paper derives a probability density function (PDF) for the third-order IMD component since the derivation of the bit error probability in the ...Show More
Outage probability of a selection combiner (SC) receiver is analyzed over exponentially correlated composite Weibull-gamma fading channels. An expression for the joint probability density function (PDF) of multivariate, exponentially correlated Weibull-gamma distributed random variable is obtained. Using this joint PDF, we derive an expression for the outage probability of a SC receiver with arbit...Show More