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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 />

Receiving Antenna<br />

The receiving antenna is assumed to have an “effective area” which “collects” the radio<br />

waves by intercepting the flux of electromagnetic energy. This means that the receiving<br />

antenna collects the total power P r = S⋅A r .<br />

A receiving antenna has an antenna gain in the same way as the transmitting antenna.<br />

The relationship between the antenna gain <strong>and</strong> the effective area is given by:<br />

A r<br />

=<br />

λ 2<br />

4⋅ π<br />

G ⋅ r<br />

λ = c/f is the wavelength of the transmitted signal also known as the carrier<br />

c is the velocity of light (<strong>and</strong> radio waves) in vacuum, c = 2.99792458·10 8 m/s.<br />

f is the frequency of the carrier.<br />

It can be shown theoretically that the transmitting <strong>and</strong> receiving antenna gain is the<br />

same for the same antenna at the same frequency.<br />

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

Slide # 4

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