Abstract

Rain fade is the loss of signal power at the receiver of a telecommunication system mainly due to absorption and scattering caused by rain in the transmission medium, especially at frequencies above 10 GHz. In order to combat the loss of the signal power at the receiver, there is the need to employ rain fade mitigation techniques. Consequently, researchers have been studying how rain affects the signal in different geographical locations as well as proposing some mitigation techniques. Power control is one of the mitigation techniques that have been proposed. But this technique has some associated challenges. Increasing the power will lead to an increase in cost of transmission which will eventually be passed on to the consumer thereby making satellite services expensive. It introduces a delay in compensation due to link estimation and coordination. Also, because of health concerns there is a limit to the amount of power that can be radiated to the ground and this is governed by international agreements. Another power management drawback in using this technique is that, it is essential to track the power continuously to ensure that the power values are not set too high, which can lead to the front end of the receiver being overdriven and eventually leading to a shutdown or physical damage. In this paper, we address the power control challenges, by leveraging on the inherent properties of Residue Number System (RNS) to propose an RNS architecture using the moduli set {2<sup>2n+1</sup>-1, 2<sup>2n</sup> -1, 2<sup>2n</sup>} that can mitigate rain fade in the satellite link. In digital communication systems, the bit energy, e<sub>b</sub>, is the most important parameter in determining the communications link performance. Numerical analysis shows that the proposed scheme performs better than the traditional method as indicated in the high energy per bit value obtained in the proposed system in comparison with the traditional method.

Highlights

  • The immense strength of satellite broadcasting lies in its ability to access a limitless number of sites without the need for any physical links irrespective of their location

  • We leverage on the inherent properties of Residue Number System (RNS) in developing a cost effective solution to mitigate the effect of rain attenuation on the satellite communication link

  • In order to perform the reverse conversion we find the Mixed Radix Digits (MRDs)’s !, ! and !0 and compute the Mixed Radix Conversion (MRC) in order to get back the value of: But ! = 6 = 10

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Summary

Introduction

The immense strength of satellite broadcasting lies in its ability to access a limitless number of sites without the need for any physical links irrespective of their location. In 2019, [3] conducted a research on rain attenuation mitigation on wireless communication link using adaptive power control. The use of power control is ineffective and expensive This is because a satellite transmitter that offers coverage to a variety of users at different geographic location needs to work continuously at or near its peak power to overcome the overall attenuation encountered by only one of the ground stations. We leverage on the inherent properties of RNS in developing a cost effective solution to mitigate the effect of rain attenuation on the satellite communication link. This is achieved by using converters that changes the number system to RNS architecture before transmission. The energy per bit can be greatly enhanced so that even in the unlikely event of the signal encountering a rain event on the link, there will still be sufficient energy at the receiver to allow for the proper decoding of data

Residue Number System
The Proposed Design
D EF H G
Performance Analysis
Conclusion and Future Work
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