S.B. Makarov 1, A.M. Markov 2

1,2 Higher school of applied physics and space technologies,

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

1 makarov@cee.spbstu.ru; 2 markov@cee.spbstu.ru

The paper considers signals formed on the basis of phase pulses of the shape Sinpx. Unlike frequency shift keying with a continuous phase (CP-FSK), an integrator is not used for the forming of such signals. The first part of the work is devoted to the consideration of time characteristics of signals, the second part considers the non-coherent reception by the Viterbi algorithm, the third part considers the bit error rate of signals and analyzes it. Various values of the phase pulse duration, the degree of the pulse and the phase deviation have been considered in the paper. If the duration of the phase pulse exceeds the bit duration, then there is intersymbol interference in the signal sequence. The Viterbi algorithm is to recursively search the optimal combination of bits. The evaluation of the BER performance in a channel with additive Gaussian noise for the non-coherent reception of signals was carried out by means of simulation. The sequence length is chosen to equal N=100 bits. Also in this paper, by means of simulation, a parametric optimization of the pulse shape (degree p and a value proportional to the phase deviation q) was carried out according to the criterion of minimizing the BER. It was found that the introduction of intersymbol interference does not worsen, but improves the BER performance. For optimal parameters of the phase pulse, at which the minimum BER is achieved, the energy loss of non-coherent reception in comparison with coherent one is 0, 0.2, 0.4 dB for n = 1, 2, 3, respectively, where n is the ratio of duration of phase pulse to bit duration. With other parameters of the phase impulse, this loss is more significant. It was found that the main contribution to the BER of incoherent reception is introduced by the streams of erroneous decisions, what are associated with a feature of the non-coherent Viterbi algorithm. It was found that the probability of occurrence of such streams (the number of error bits is more than 0.3N) is 0.1–2% of the number of combinations in which at least one error occurred, for n=1–3, respectively.

Makarov S.B., Markov A.M. Incoherent reception «in a whole» of spectrally effective signals formed on the basis of phase pulses of the shape sinpx. Radiotekhnika. 2020. V. 84. № 12(24). P. 43−51. DOI: 10.18127/j00338486202012(24)-04 (In Russian).

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