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Measuring the frequency components of the mixture signals by maximum likelihood

Keywords:

V.N. Zhurakovsky – Ph.D. (Eng.), Associate Professor, Bauman Moscow State Technical University E-mail: Zhurakovsky@sm.bmstu.ru А.S. Logvinenko – Engineer, Bauman Moscow State Technical University E-mail: nyusha.logvinenko@mail.ru


The article deals with the use of the maximum likelihood method (MLE) for the spectral analysis of signals representing the sum of complex exponential. Describes the conclusion of the objective function and application of the projection matrix to it in order to avoid non-informative parameters of assessment procedures – in this case, the amplitudes and phases of the signals in the mixture. The results of the simulation algorithm MLE, on the basis of which produced according to RMS frequency estimates from SNR and type ratings distributions. A comparison of MLE and MUSIC method in the case of close frequencies and applications shown MLE advantage for this purpose.
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May 29, 2020

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