Recurrent Estimation of Phases Probability Density Function of Modulated Signals
Tóm tắt
The problem of constructing an empirical probability density distribution of the phases of a signal with phase shift keying modulation, as well as nonparametric estimation methods, is considered. The transition from the approximation method using basis functions to the method of windowed kernel functions based on harmonic functions is shown. The results of numerical experiments are presented.
Tài liệu tham khảo
K. V. Mardia and P. E. Jupp, Directional Statistics (John Wiley & Sons, Chichester, 2000).
S. R. Jammalamadaka and A. SenGupta, Topics in Circular Statistics (World Sci., Singapore, 2001).
V. V. Egorov and M. S. Smal’, Telekommunikatsii, No. 8, 2 (2012).
T. V. Yakovleva, Komp’yut. Issled. i Modelir. 10 (5), 511 (2018).
V. V. Egorov and M. S. Smal’, Telekommunikatsii, No. 5, 29 (2013).
Yu. V. Martynov, “Assessment of quality of transfer of discrete information on statistical characteristics of communication channels,” Abstract Thesis Candidate Techn. Sci. (LEIS im. M. A. Bonch-Bruevicha, Leningrad, 1971).
M. S. Smal’, “Extra test ways of estimation of a condition of a short-wave radio channel in adaptive radio lines,” Abstract Thesis Candidate Techn. Sci. (GUAP, St. Petersburg, 2018).
V. V. Zyablov, D. L. Korobkov, and S. L. Portnoi, High-Speed Transmission of Messages in Real Channels (Radio i Svyaz’, Moscow, 1991) [in Russian].
V. I. Tikhonov, Statistical Radio Engineering (Sovetskoe Radio, Moscow, 1966) [in Russian].
A. A. Sirota, Methods and Analysis Algorithms of Data and Their Modeling in MATLAB: Manual (BKhV-Peterburg, St. Petersburg, 2016) [in Russian].
V. V. Zhuk and G. I. Nanton, Trigonometrical Ranks of Fourier and Elements of the Theory of Approximation (LGU, Leningrad, 1983) [in Russian].
V. V. Zhuk, Approximation of Periodic Functions (LGU, Leningrad, 1982) [in Russian].
G. P. Tolstov, Fourier’s Ranks (Nauka, Moscow, 1980) [in Russian].
V. V. Gubarev, Algorithms of Statistical Measurements (Energoatomizdat, Moscow, 1985) [in Russian].
E. Parzen, Ann. Math. Statistic 33 (3), 1065 (1962).
S. P. Iglin, Probability Theory and Mathematical Statistics on the Basis of MATLAB (NTU “KhPI”, Khar’kov, 2006) [in Russian].
B. W. Silverman, Density Estimation for Statistics and Data Analysis (Chapman & Hall/CRC, London, 1986).
A. A. Greshilov, Mathematical Methods of Decision Making (MGTU im. N.E. Baumana, Moscow, 2014) [in Russian].
V. P. Fedosov, Applied Mathematical Methods in Statistical Radio Engineering (TRTU, Taganrog, 1998) [in Russian].
ARINC Characteristic 635-4. HF Data Link Protocol. Dec. 22, 2003 (Aviation Radio (ARINC), Annapolis, 2003).