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Need help with calculating EIRP=PtGt

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Ethologus

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Finding ERP (EIRP)

I have the following problem that I have worked on for too long and have still not been able to come up with the answer.

A DBS Reflector Antenna operating at 12.4 GHz with a bandwidth of 20 MHz has a diameter of 18" and an aperature efficiency of 75%. A noise temperature of 50K is measured as the antenna is pointed toward a region of the sky where the background has a uniform temperature of 5K. The DBS has a receiver block with a noise figure of 1.5 dB. Assume the antenna and receiver is at a physical temperature of 290K. A similiar antenna is used on a geosynchronous satellite (39,000km from earth) as a transmitter, which transmits carrier power of 150 W

So I calculated the following

for receiving antenna:
Area =.164 m²
Directivity=Gain=2639=34.21dB
max effective aperature area (Ae)=.123 m²
Te=169K

I need to calculate EIRP=PtGt
Can anyone help?
 

Re: Finding ERP (EIRP)

Maybe I'm missing something, but

EIRP=Pt*Gt=150 Watts*34.21 dB=10*log10(150)+34.21 dB=55.97 dBW?

This is at the antenna.

Dave
 

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