Analytical description of polar coordinates of random vectors in case of arbitrary fluctuations its Cartesian coordinates

Authors

  • Shamil M. Chabdarov Kazan National Research Technical University, Russian Federation http://orcid.org/0000-0002-2125-5622
  • Alexey A. Korobkov Kazan National Research Technical University, Russian Federation

DOI:

https://doi.org/10.1109/ICATT.2017.7972663

Keywords:

polar coordinates, multidimensional vectors, polygaussian mixture

Abstract

There are many tasks where analytical description of the random signals is used. For instance, representation of signals and waves in polar coordinates is widely used in antenna theory and techniques. In this report, we present the results of implementation of the polygaussian approach for describing polar coordinates of random vectors as mixtures of Rayleigh and Rice distributions. Moreover, polygaussian approach gives an opportunity to generalize it to the case of multidimensional vectors.

References

S. M. Chabdarov, A. A. Korobkov, E. M. Karimullin, “Generelized Rice distributions in case of arbitrary fluctuations of Cartesian coordinates,” Proc. of 5th Int. Radio Electronic Forum on Problems of Infocommunications. Sciense and Technology, PICS&T-2014. Kharkov: ANPRE, KhNURE, 2014, vol. I, pp. 147-150.

S. M. Chabdarov, A. A. Korobkov, “About determination of the resulting vector probability distribution in case of various distributions of two his components,” Proc. of Int. and Pratical Conf. on Finding of the efficial solutions during the creating and implementation of the results of the csience reseacrh to the Russian the aviation and aerospace industry,” AKTO-2014, Kazan, 2014, vol. IV, p. 120.

Published

2017-07-18

Issue

Section

Remote sensing antennas, signal processing and communications