I. Lavrenyuk1, S.B. Makarov2, S.O. Melnikov3

1-3 Peter the Great St. Petersburg Polytechnic University (St. Petersburg, Russia)

1 lavrenyuk_i@spbstu.ru; 2 makarov@cee.spbstu.ru; 3 7atom7@mail.ru

Formulation of the problem. An increase in the transmission rate of frequency-modulated signals with a compact spectrum and extended phase trajectories in the AWGN channel specified by the frequency mask is associated with an increase in energy costs. These costs can be reduced with limitations on computational complexity by using incoherent element-wise algorithms based on correlation methods with feedback on the solution obtained in accordance with the generalized criterion of maximum likelihood. Taking into account the shapes of phase or frequency trajectories, along with optimizing the observation interval, is an additional resource for increasing the noise immunity of reception and can be the basis for developing algorithms of this type. In particular, the use of feedback algorithms and consideration of the shapes of frequency pulses from previously received symbols can reduce energy costs.

The purpose of this article is to synthesize new element-wise feedback algorithms based on a solution for receiving frequency-modulated signals with extended phase trajectories in the presence of intersymbol interference, and to evaluate the noise immunity of receiving these algorithms for channels with constant parameters.

Results. New algorithms have been developed for incoherent element-wise reception of frequency-modulated signals with extended frequency-phase trajectories characterized by a compact spectrum and a peak factor of one. In the course of the study, it was found that when using the algorithm of piecemeal incoherent reception with feedback, an energy gain is achieved in comparison with the algorithm of incoherent piecemeal reception without feedback, amounting to approximately 2.4 dB with the probability of erroneous reception of the symbol BER = 1·10-4.

Practical significance. The proposed algorithms for receiving incoherent element-wise reception of frequency-modulated signals with extended frequency-phase trajectories with limited computational complexity can be implemented on the basis of the SDR platform and can be used in systems of the space segment of broadband access, mobile cellular communications over short distances and in satellite digital broadcasting systems DVB-S2/S2X.

Lavrenyuk I., Makarov S.B., Melnikov S.O. Incoherent algorithms for element-wise reception of spectrally effective frequen-
cy-modulated signals with extended phase trajectories in the presence of intersymbol interference. Radiotekhnika. 2025. V. 89. № 3. P. 57−73. DOI: https://doi.org/10.18127/j00338486-202503-06 (In Russian)

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