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Article title IMPLEMENTATION OF MODELS OF THE WIRELESS MULTIPATH CHANNELS WITH FADING
Authors A.O. Pasiuk, E.S. Semenov, S.V. Galich, E.E. Arepyeva
Section SECTION III. RADIO ENGINEERING AND TELECOMMUNICATIONS
Month, Year 05, 2017 @en
Index UDC 621.391.6
DOI
Abstract In the modeling of wireless communication systems, it is necessary to take into account a large number of different parameters, including aspects of the physical transmission medium. When transmitting signals through a wireless environment, the signal is affected by a variety of factors, such as signal attenuation, reflection from moving and stationary objects, signal power dissipation, Doppler effect in case of a receiver and / or transmitter movement, etc. In order to take into account all these factors in modeling, it is necessary to imagine how they affect the signal in a real environment. Therefore, the construction of models of wireless multipath channels (regardless of the transmission technology) is an actual task for the study. In this paper we consider the models of multipath channels with fading, distributed according to the Rayleigh law, on the basis of the Jakes model and the method of filtering a Gaussian random variable with correct statistical properties. These models are implemented in the Jupyter Notebook environment in the Python programming language. The expediency of using a model based on the Gaussian filtering for the generation of complex channel coefficients for wireless Rayleigh channels with fading is shown.. The developed models make it possible to obtain samples of complex channel coefficients with correct statistical properties (average, autocorrelation, cross-correlation of real and imaginary parts of complex channel coefficients), taking into account the set of input parameters: sampling frequency, maximum Doppler shift, simulation time, channel power delay profile.

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Keywords Rayleigh fading; multipath propagation; Jakes spectrum; wireless channel modeling; com-plex channel gain.
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