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GATE 2023 Communication System Evaluation Quiz 7
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Question 1
An angle modulated signal is given by s(t) = cos(4000πt) cos(5 sin200πt) + sin (4000πt) sin (5 sin200πt). The instantaneous frequency of the angle modulated signal at time t = 5 ms will be _____ kHz.
Question 2
Which of the following statement is true?
I. If 
contains a DC component equal to A, then 
will contain a constant component equal to A2.
II. If 
contains a sinusoidal component, then 
will also contain a sinusoidal component of the same frequency.
Question 3
Matched filter output for the input of 
Question 4
The capacity of gaussian channel of bandwidth 5 kHz with noise PSD 10-7 W/Hz (two sided) when signal energy is 0.2 is ______× 104 bps.
Question 5
In a delta modulation system, message signal quantized with a step size of 0.01V, sampled at the rate of 100 samples/sec. Which of the following signal avoids slope overload distortion?
Question 6
In a AM signal, received signal power is 
with a maximum modulating signal of 5kHz.The noise spectral density at the receiver input is 
.If noise power is restricted to the message signal bandwidth only then signal-to-noise ratio at the input to the receiver is_______ (dB)
with a maximum modulating signal of 5kHz.The noise spectral density at the receiver input is .If noise power is restricted to the message signal bandwidth only then signal-to-noise ratio at the input to the receiver is_______ (dB)Question 7
Let a random variable X have CDF
The value of 
is ……
Question 8
A discrete source transmits message 
with probabilities 0.4, 0.3, 0.3 respectively. The source is connected to the given channel. Calculate 
with probabilities 0.4, 0.3, 0.3 respectively. The source is connected to the given channel. Calculate
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