Question

Consider the Voyager spacecraft, transmit frequency 8.4 GHz,
transmitter power P_{T}= 21.3 W, transmitting antenna gain
G_{T} is 6.5 x 10^{4} W/W at a distance of 6.8 x
10^{11}m from Jupiter to Earth. Both the Voyager and earth
based antennas are parabolic dishes whose cross sectional area can
be assumed equal to the effective antenna aperture.

a) Calculate the Voyager antenna gain (dB) and diameter

b) Calculate the receiver antenna gain (dB) with a dish diameter of 64m.

c) Calculate the received power (dBm).

d) The comm link requires a receive signal to noise ratio of
10dB to achieve a 115.2 kbps data rate with a bit error rate of
2x10^{-5}. Calculate the receiver noise N_{o}=kTB
where k is Boltzmann’s constant, T is the receiver equivalent noise
temperature of 28.5 deg K and B is the bandwidth.Assuming BPSK
modulation with 1 bps/Hz the bandwidth is equal to the data rate.
What is the SNR margin (dB)?

Answer #1

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