Yu.E. Korchagin1, M.V. Trifonov2, A.S. Ushkov3

1–3Voronezh State University (Voronezh, Russia)

1korchagin@phys.vsu.ru, 2mixailtrifonov@yandex.ru, 3alex.uchkov8@gmail.com

We synthesized quasi-likelihood algorithms for estimating the amplitude of a radio signal with an arbitrary envelope shape, unknown initial phase, and unknown moments of appearance and disappearance. We determined the characteristics of the synthesized algorithms and performed a comparison of the accuracy of the amplitude estimates. We investigated the impact of a priori ignorance of the initial phase and the moments of appearance and disappearance on the amplitude estimation accuracy. We synthesized a non-coherent algorithm for amplitude estimation, based on maximizing the decision statistic over the unknown initial phase. We carried out an analysis of the non-coherent estimator and derived its statistical characteristics. We showed that the application of the non-coherent amplitude estimation leads to a marginal improvement in estimation accuracy at the cost of a significant increase in the complexity of the receiving device. Based on a comparison of the accuracy of the quasi-likelihood estimates, we formulated recommendations for selecting the expected values of the moments of appearance and disappearance. We established that the choice of expected values for the moments of appearance and disappearance should be made taking into account the signal-to-noise ratio. Specifically, at low signal-to-noise ratios, it is advisable to choose a longer duration for the reference signal, while at high signal-to-noise ratios, a shorter duration is preferable.

Korchagin Yu.E., Trifonov M.V., Ushkov A.S. Estimation of the amplitude of a radio signal with an arbitrary shape, unknown initial phase and moments of appearance and disappearance. Electromagnetic waves and electronic systems. 2026. V. 31. № 3. P. 14−23. DOI: https://doi.org/10.18127/j15604128-202603-02 (in Russian)

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