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MattH150197
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Homework Statement
I am asked to find the Max detection range of the following radar system:
Transmitter Power, Pt = 10Kw
RCS = 1 m sq.
Frequency = 3Ghz
Losses, Ls = 5dB
radar dish radius, r = .5m
Noise level, N = -140dbW
SNR= 13 dB
Homework Equations
Radar Max range = ((Pt*(G^2)*RCS*(Wavelength^2)*Ls)/((4pi^3)*(r^4)*SNR) )^1/4
The Attempt at a Solution
So i first converted freq. to wavelength by 3x10^8 / 3x10^9 = 0.1.
Then converted losses from dB to get 1x10^-5
Converted Noise level from dBW to Watts to get 1x10^-14 (not totally sure of this step)
Then put the noise level into SNR gives 13dB = 10log(Psignal/1x10^-14) and solving for Psignal gives 1.99x10^13
Putting this into equation i get a range of 252 metres obviously this is far too small, as you can tell I am struggling a bit with the dB conversions.Can anybody spot where I've gone wrong? Would really appreciate some help been trying to figure this out for a while with no joy. Thanks
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