Estimation of discrete-continuous processes under conditions of polymodality of the a posteriori probability density

Yury G. Bulychev; L. I. Borodin; V. A. Golovskoy

doi:10.3103/S073527270901004X

Authors

Yury G. Bulychev JSC All-Russian Scientific Research Institute "Gradient", Russian Federation
L. I. Borodin Rostov-on-Don Military Institute of the Rocket Troops, Russian Federation
V. A. Golovskoy Rostov-on-Don Military Institute of the Rocket Troops, Russian Federation

DOI:

https://doi.org/10.3103/S073527270901004X

Abstract

A method based on the fast Fourier transform and cutoff function-regularizer has been proposed for estimating the discrete-continuous Markov processes under conditions of inapplicability of the conventional Gaussian approximation. This method makes it possible to enhance the reliability of reception and processing of information incoming to the measuring system by radio channel in the presence of a random delay of the discrete signal.

References

V. I. Tikhonov and V. N. Kharisov, Statistical Analysis and Synthesis of Radio Engineering Devices and Systems (Radio i Svyaz’, Moscow, 1991) [in Russian].

V. I. Tikhonov and V. N. Kharisov, “Optimal reception of discrete signals with random delay,” Radiotekh. Elektron. 25, No. 3, 530 (1980).

V. I. Tikhonov and V. N. Kharisov, “Optimal reception of discrete signals and clock synchronization,” Radiotekh. Elektron. 25, No. 3, 540 (1980).

Yu. G. Bulychev and S. A. Pogonyshev, “Quasi-optimal nonlinear filtration based on space-frequency Fourier transform,” Radiotekhnika, No. 1, 55 (1989).

Yu. G. Bulychev, I. V. Burlai, and S. A. Pogonyshev, “Numerical analytic method of differentiating the functions with limited spectrum on the basis of Kotelnikov’s formula,” Zh. Vychisl. Matem. i Matem. Fiz. 32, No. 3, 396 (1992).

V. A. Trenogin, Functional Analysis (Nauka, Moscow, 1980) [in Russian].