Zhurnal Radioelektroniki - Journal of Radio Electronics. eISSN 1684-1719. 2022. №12
ContentsFull text in Russian (pdf)
DOI: https://doi.org/10.30898/1684-1719.2022.12.11
NOISE IMMUNITY OF COHERENT RECEPTION
OF M-PSK SIGNALS WITH A RECTANGULAR ENVELOPE
IN HYDROACOUSTIC COMMUNICATION CHANNEL
V.E. Denisov
RTU MIREA, 119454, Moscow, prospekt Vernadskogo, 78
The paper was received October 7, 2022.
Abstract. Goals. The main purpose of this work is to develop a methodology for determining the parameters of M-PSK signals, in which the signals become relatively invariant to frequent distortions in the marine environment. The frequency distortions of the signals are caused by the uneven frequency response of the attenuation of the marine environment. The main part of this technique is to assess the effect of frequency distortion of signals on the noise immunity of reception. To do this, the error probabilities of the receiver of M-PSK signals determined, which is optimal in the absence of distortion. Methods. The provisions of applied hydroacoustics, the theory of random processes and the theory of transmission of discrete messages are used. The main content. The paper considered a model of a single-beam hydroacoustic communication channel, characteristic of the deep sea, when the receiver or transmitter is located in the depths of the sea. The transmission coefficient of the channel is used as a transmission coefficient with a Gaussian amplitude - frequency response and a linear phase-frequency response. The additive boundary of the probability of error in the coherent reception of M-PSK signals with a rectangular envelope is determined. As a receiver, a coherent receiver is considered, optimal by the criterion of maximum similarity under the action of white Gaussian noise and the absence of distortion in the marine environment. A logarithmic measure of increasing the probability of error is introduced, which characterizes the deterioration of noise immunity due to frequency distortions in the channel. For some typical cases, the values of signal parameters that are relatively invariant to frequency distortions in the marine environment are determined. Results. Expressions are found for the upper bound of the probability of error of coherent signal receivers of M-PSK signals with a rectangular envelope for M = 2, 4, 8, 16, 32. A logarithmic measure of the relative increase in the probability of error compared to the case of the absence of distortions is introduced. The functional dependence of this measure is determined on the duration of sending the signal, the carrier frequency and the number of phases of the signal, as well as on the communication range and the signal-to-noise ratio. On the plane of the carrier frequency, the duration of the signal, for each type of signal, the boundary of the region above which the signals are relatively invariant to frequency distortions in the marine environment is constructed. For the communication range R = 3 km and the carrier frequency f0 = 30 kHz, the minimum values of the duration of invariant signals are given.
Key words: attenuation coefficient, noise immunity, error probability, communication range, duration of signal sending, carrier frequency, initial phase, additive boundary.
Corresponding author: Denisov Valery Evgenievich, dvemirea@mail.ru
References
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For citation:
Denisov V.E. Noise immunity of coherent reception M-PSK signals with a rectangular envelope in a hydroacoustic communication channel. Zhurnal radioelektroniki [Journal of Radio Electronics] [online]. 2022. №12. https://doi.org/10.30898/1684-1719.2022.12.11 (In Russian)