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Quasi-likelihood of appearanse and disappearanse moments estimations of radiosignal with unknow amplitude, frequency and initial phase

Keywords:

A.P. Trifonov – Honored Scientist of RF, Dr. Sc. (Eng.), Professor, Head of Department of Radiophysics, Voronezh State University E-mail: trifonov@phys.vsu.ru Yu.E. Korchagin – Dr. Sc. (Phys.-Math.), Associate Professor, Department of Radiophysics, Voronezh State University E-mail: korchagin@phys.vsu.ru S.V. Korolkov – Post-graduate Student, Department of Radiophysics, Voronezh State University E-mail: sergeik1991@rambler.ru


In this paper we have studied quasi-likelihood algorithm evaluation of appearance and disappearance moments of radiosignal with the rectangular pulse waveform and the unknown amplitude, the initial phase and frequency. We have carried out the synthesis of quasi-likelihood evaluation algorithm. Instead of the unknown parameters we have used some of their predicted values. We have introduced block-diagrams of formation evaluation. We have analyzed the synthesized algorithm and found the asymptotically exact expressions (with the increase of signal-to-noise ratio) for bias and dispersion of evaluation of appearance and disappearance moments. We have studied the influence of a priori ignorance of amplitude, the initial phase and frequency on the accuracy of evaluation of appearance and disappearance moments. We have found quantitative characteristics of loss in accuracy during the evaluation of appearance and disappearance moments due to a priori ignorance of amplitude, the initial phase and frequency of radio signal.
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