Bit error probability computing at incorrect signal with binary relative phase manipulation reception in the presence of harmonic interference

Аuthors

Zvonarev V. ^*, Pitrin A. V., Popov A. S.^**

Mlitary spaсe Aсademy named after A.F. Mozhaisky, Saint Petersburg, Russia

*e-mail: vka@mil.ru
**e-mail: arahar@mail.ru

Abstract

To ensure the stability of information transmission by a radio channel, the effect of noise and interference is of great importance. In the systems with relative (differential) phase manipulation (OFM), the so-called “reverse operation” mode is excluded. These signals are not much inferior in noise immunity to the phase-manipulated (FM) signals. Besdies, incoherent reception (demodulation) is possible, which greatly simplifies the receiving device. Such signals application and incoherent reception is preferable in cases where the phase of the carrier oscillation changes dynamically and/or randomly, and its tracking is difficult, especially in the presence of structural interference of various types. Let us determine both radio signal and interference models to compute the bit errors probabilities.

We derive formulas for computing the average probabilities of the bit errors of incoherent reception of a radio signal from OFM-2 in the presence of the linearly frequency-manipulated interference.

The graph of the bit error probability dependence on the signal-to-noise ratio at fixed values of frequency deviation and interference levels shows at what level the signal is ensured with the required values of the probability of a bit error. 

The graph of the bit error probability dependence on the magnitude of the frequency deviation is symmetrical with respect to its zero value. The curve in each direction has a wave-like appearance with decreasing minimum and maximum extreme values. Analyzing the obtained graphs, it can be noted that for certain, well-defined values of frequency deviation, the influence of interference with the LFM is minimal, and the less this effect is, the lower the level of interference. On the other hand, for some values of frequency deviation, the interference effect in the bit error probability metric is 3-4 orders of magnitude higher than the minimum values.

The presence of interference leads to a dependence of the error probability on the value of the initial phases of both the signal and the interference, even under conditions of incoherent reception. To obtain a phase-averaged value of the bit error probability, statistical averaging over the initial phases is necessary. 

The developed technique allows qualitatively or conditionally quantifying the effects of linearly frequency-manipulated interference on the reliability of transmitted information in the radio channel when the interference frequency is shifted.

Keywords:

differential (relative) phase manipulation, incoherent reception, two-cycle processing, harmonic interference, noise immunity

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