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Journal Electromagnetic Waves and Electronic Systems №8 for 2018 г.
Article in number:
Potential accuracy of estimating the frequencies of a signal representing a mixture of two complex exponents and white Gaussian noise
Type of article: scientific article
DOI: 10.18127/j15604128-201808-09
UDC: 621.37
Keywords: parameter estimation Cramer-Rao lower bound Doppler frequency modeling in the Matlab environment.
Authors:

V.N. Zhurakovsky – Ph.D.(Eng.), Associate Professor, Department SM-6, Bauman Moscow State Technical University E-mail: vnzh521@yandex.ru

A.S. Logvinenko – Engineer, Department «Information and Control Systems», 

SRI SM of Bauman Moscow State Technical University

E-mail: anna.logvinenko.bmstu@mail.ru

Abstract:

The problem of determining the minimum dispersion of the signal frequency estimates representing a mixture of two complex exponentials with white Gaussian noise (WGN) is solved by deriving the expression of the Cramer-Rao lower bound (CRLB). The graphs showing the dependence of the lower dispersion limit on the signal-to-noise ratio (SNR), absolute values of frequencies and sample size are given. The analysis of the obtained results is made, allowing to estimate the requirements that can be presented to the developed algorithms for estimating frequencies for signals with certain parameters (sample rate, sampling size).

Pages: 64-68
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Date of receipt: 22 мая 2018 г.