A comparative analysis of estimates of the unknown nonrandom parameter of signal in the linear space and K-space

Authors

DOI:

https://doi.org/10.3103/S0735272708070030

Abstract

It has been shown that signal processing against the background of interferences (noises) in the K-space of signals makes it possible to achieve higher characteristics of the estimation of unknown nonrandom parameter of signal than those in the linear space. Quality index of the point estimation based on metric properties of the estimation space has been proposed.

References

I. N. Amiantov, Selected Problems of the Statistical Theory of Communications (Sov. Radio, Moscow, 1971) [in Russian].

E. I. Kulikov and A. P. Trifonov, Estimation of Signal Parameters against the Background of Interferences (Sov. Radio, Moscow, 1978) [in Russian].

E. Sage and J. Mels, Estimation Theory with Applications to Communications and Control (McGraw-Hill, New York, 1971).

A. P. Trifonov and Yu. S. Shinakov, Joint Discrimination of Signals and Estimation of Their Parameters against the Background of Interferences (Radio i Svyaz’, Moscow, 1986) [in Russian].

Sh. Zaks, The Theory of Statistical Conclusions (Mir, Moscow, 1975) [in Russian].

J. Kendal and A. Styuart, Statistical Conclusions and Links (Nauka, Moscow, 1973) [in Russian].

G. Kramer, Mathematical Statistics Methods (Mir, Moscow, 1975) [in Russian].

E. Leman, The Theory of Point Estimation (Nauka, Moscow, 1991) [in Russian].

V. I. Mudrov and V. L. Kushko, Measurement Processing Methods: Quazi-Plausible Estimates (Radio i Svyaz’, Moscow, 1983) [in Russian].

B. Z. Vulikh, An Introduction to the Theory of Semiordered Spaces (Fizmatgiz, Moscow, 1961) [in Russian].

D. A. Vladimirov, Boolean Algebras (Nauka, Moscow, 1969) [in Russian].

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

V. A. Artamonov, V. N. Salii, L. A. Skornyakov, et al., General Algebra, Vol. 2 (Nauka, Moscow, 1991) [in Russian, ed. by L. A. Skornyakova].

Published

2008-07-03

Issue

Section

Research Articles