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View File - University of Engineering and Technology, Taxila

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Follow the uplink procedure for the downlink case <strong>and</strong> consider additiveinterfering signals on the downlink with respective powers, say I d1 ; I d2 ; ...; I dkwithin the b<strong>and</strong>width <strong>of</strong> the desired carrier. As such, the corresponding carrierto-noiseplus interference ratio can be written as C¼C þ Pk C dNDINd i¼1 I di¼C N dþ C ð4:40ÞIdThus, the combined carrier-to-noise ratio for a single-hop transmission isCN ¼ 1ðC=NÞ 1UI þðC=NÞ1ð4:41ÞDIThis expression is the most widely used equation in satellite system engineering.Care must be taken when applying (4.41). For example, when rain occurson the downlink only, the carrier-to-noise <strong>and</strong> interference are attenuatedequally. As such, the downlink carrier-to-interference ratio remains at theclear-sky value <strong>and</strong> Eq. (4.40) is used: meaning that the rain attenuation factoris not included. However, if rain occurs in both uplink <strong>and</strong> downlink, the effect<strong>of</strong> rain-induced attenuation must be included in the link calculation, which isto further reduce the carrier-to-noise plus interference ratio <strong>of</strong> the link beingconsidered.The overall system quality E b =N 0 , the bit energy-to-noise plus interferencedensity ratio, can be computed from (4.41) <strong>and</strong> (3.11).Example 4.4: A satellite system uplink was designed so that the transpondercarrier-to-noise plus interference ratio is 22.5 dB. The link is cascaded with thedownlink for which the receiver carrier-to-noise plus interference ratio is16.25 dB. Estimate the overall carrier-to-noise ratio <strong>of</strong> the cascaded link.SolutionConvert the carrier-to-noise plus interference ratios into power ratio form: C¼ 10 2:25 ¼ 177:828N<strong>and</strong>UI C¼ 10 1:625 ¼ 42:1697NDICopyright © 2002 by Marcel Dekker, Inc. All Rights Reserved.

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