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DTU Satellite Systems and Design Course CubeSat Communication

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Danish Space Research Institute<br />

Danish Small <strong>Satellite</strong> Programme<br />

Link Budget - 4<br />

The Link Budget in dB<br />

Taking the link budget equation <strong>and</strong> subjecting it to the dB-transformation yields:<br />

10⋅log(P r /P t ) = 10⋅log(G t ·G r /L p ) [dB] ⇔<br />

10⋅log(P r ) - 10⋅log(P t ) = 10⋅log(G t ) + 10⋅log(G r ) - 10⋅log(L p ) [dB]<br />

����������� math violation !!!!!<br />

We cannot just take the log of a dimensioned quantity, here Watts, the P’s.<br />

Therefore, we must select a reference power, e.g. 1 Watt <strong>and</strong> divide the P’s by this<br />

quantity, so we don’t violate the math.<br />

Using this trick <strong>and</strong> writing the link budget equation again yields:<br />

10⋅log(P r /1 W) - 10⋅log(P t /1W) = 10⋅log(G t ) + 10⋅log(G r ) - 10⋅log(L p ) [dB]<br />

FH 2001-08-27 Cubesat_<strong>Communication</strong>.ppt<br />

Slide # 9

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