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In this paper, a new distribution, named POCA, is introduced for modeling envelope fluctuations due to fast fading in indoor environments. The main motivation has been the small number of scatterers in those environments, which makes the central limit theorem invalid for in-phase and quadrature components. Hence they are no longer Gaussian and envelope is not Rayleigh-distributed. POCA, the new...

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We present a model of one-dimensional asymmetric random walks. Random walkers alternate between flights ~steps of constant velocity! and sticking ~pauses!. The sticking time probability distribution function ~PDF! decays as P(t);t. Previous work considered the case of a flight PDF decaying as P(t);t @Weeks et al., Physica D 97, 291 ~1996!#; leftward and rightward flights occurred with differing...

A new approach for flood frequency analysis based on the probability density evolution method (PDEM) is proposed. It can avoid the problem of linear limitation for flood frequency analysis in a parametric method and avoid the complex process for choosing the kernel function and window width in the nonparametric method. Based on the annual maximum peak discharge (AMPD) in 54 years from the Dalai...

The one-point probability distribution function (pdf) of the large-scale density field is an important tool to follow the evolution of cosmological structures. In this paper we present a new model for this pdf for all regimes and all densities, that is from linear to highly non-linear scales and from rare voids up to rare high densities. This is probably the simplest model one can build which i...

Let U and V be two independent normal random variables, and consider two new random variables X and Y of the form X = aU + bV, Y = cU + dV, where a, b, c, d, are some scalars. Each one of the random variables X and Y is normal, since it is a linear function of independent normal random variables.† Furthermore, because X and Y are linear functions of the same two independent normal random variab...

The statistics of velocities in the cellular automaton model of Nagel and Schreckenberg for traffic are studied. From numerical simulations, we obtain the probability distribution function (PDF) for vehicle velocities and the velocity-velocity (vv) covariance function. We identify the probability to find a standing vehicle as a potential order parameter that signals nicely the transition betwee...

In a multipath fading channel, the transmitted signal travels through several different paths to the receiver. In each path, amplitude and phase of the signal vary in a random manner. It is common to consider the number of paths as a large constant and to model random fluctuations of the phase by the uniform probability density function (PDF). However, these assumptions are not realistic in man...

In this paper, we study certain properties of the bit decoding algorithms for the case of binary linear block codes. Our focus is on the Probability Density Function (pdf) of the bit Log-Likelihood-Ratio (LLR). A general channel model with discrete input and discrete or continuous output is considered. We prove that under a set of mild conditions on the channel, the pdf of the bit LLR of a spec...