Abstract

This article deals with the dependence of the signal-to-noise ratio (S/N) on the frequency band of a radio channel when transmitting three different radio signals over it based on a mathematical model. Signals are transmitted on a single carrier frequency, in one direction and occupy the entire channel frequency band, which varied from 0 to 30 GHz. A threeelement sparse antenna array (SAA) is used for signal transmission. Each signal is emitted by all three SAA elements with certain phase shifts. In the reception area, such a structure of the total field is formed, at which the maxima of all transmitted signals are spatially spaced. This allows each signal to be received on a separate antenna. Studies have shown that the S/N ratio for different signals depends differently on the channel bandwidth. For a signal emitted by all SAA antennas in phase, the S/N ratio is practically independent of the bandwidth and is about 70 dB. For the two remaining phased signals the S/N ratio varies equally over the entire range of the channel frequency band values and is characterized by a sharp drop from 62 to 8 dB.

Highlights

  • Communication systems play an important role in the global economy

  • We study the dependence of the signal-to-noise ratio (S/N) ratio on the channel frequency band, which for a given radio channel does not change over time, but maybe changed when switching to another channel

  • As a result of the research conducted on mathematical models of linear frequency modulation (LFM) signals, it was shown that the proposed communication system can be used to transmit broadband signals with high efficiency of their spatial separation, estimated by the level of S/N at the output of the receiving antenna

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Summary

Introduction

Communication systems play an important role in the global economy. much attention is paid to their development and improvement and a large number of research papers are devoted to them [1]. In [5], a method close to the considered one was proposed for spatial selection of various narrowband signals transmitted at one carrier frequency, due to the difference in the curvature of their wave fronts in the reception zone This difference was ensured by the fact that copies of each signal were emitted by a different number of SAA antennas. Modern methods of optimal processing of spatial-temporal signals allow obtaining additional information from radio signals and are widely used in communication systems, passive and active radar systems, remote sensing systems for various purposes [9, 10], etc Both considered methods of spatial separation of signals are designed for narrow-band signals, i.e. for signals whose bandwidth is much less than the carrier frequency. The research was carried out on a mathematical model of radio channel signals with internal linear frequency modulation (LFM)

Construction of mathematical model of the radiation field
Conclusion

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