A microwave receiver used in satellite communications has an antenna with TA = 20 K cascaded with an

A microwave receiver used in satellite communications has an
antenna with TA = 20 K cascaded with an LNA with Te = 6 K, G = 30 dB, an
amplifier with F = 6 dB, G = 20 dB and a mixer + IF combination with F = 13 dB
and G = 10 dB.

a. Determine the equivalent noise figure and the noise
temperature of the receiver (excluding the antenna). Compare the equivalent
noise temperature of the receiver with that of the first amplifier. Calculate
how many dBs the noise power is increased compared with that of the first
amplifier.

b. Each stage of the receiver introduces some band limiting.
However,

A microwave receiver used in satellite communications has an
antenna with TA = 20 K cascaded with an LNA with Te = 6 K, G = 30 dB, an
amplifier with F = 6 dB, G = 20 dB and a mixer + IF combination with F = 13 dB
and G = 10 dB.

a. Determine the equivalent noise figure and the noise
temperature of the receiver (excluding the antenna). Compare the equivalent
noise temperature of the receiver with that of the first amplifier. Calculate
how many dBs the noise power is increased compared with that of the first
amplifier.

b. Each stage of the receiver introduces some band limiting.
However, it may be convenient to consider that all the stages of the system are
of unlimited bandwidth and band limiting is done in a single IF filter at the
output end of the IF amplifier. Under these circumstances, the noise input to
this IF filter would have a white (uniform) power spectral density. Determine
the noisepower spectral density (W/Hz) present at the demodulator input.

c. Explain whether the noise introduced by the demodulator
or any succeeding decoder will further degrade the signal-to-noise ratio of the
signal at the output of the receiver.

d. Consider that the received signal has a baseband
bandwidth of 4 MHz. If we want the signal to noise ratio at the demodulator
input to be 20 dB, then find the signal power at the demodulator input?
Determine the corresponding signal power at the receiver input (output of the
receive antenna)

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