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GATE EC 2022: Communication System Quiz 2 (App update required to attempt this test)

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Question 1

A bipolar binary signal Si(t) is +A or –A, rectangular pulse in interval 0 to T. Assume and P(S1) = 0.7. Find optimum detection threshold of detector.

Question 2

A TDM link has 28 signal channels and each channel is sampled 4000 times/sec. Each sample is represented by six binary bits and contains two additional bits for synchronization. The total bit rate (in kbits/sec) for the TDM link is

Question 3

An amplifier has a noise figure of 4 dB, a bandwidth of 500 kHz and an input resistance of 50 at a temperature 290 K, the input signal voltage needed to yield an output SNR equals to 1 will be ______V.
(Given that k-1.3810-23 J/K)

Question 4

Consider the signal s(t) shown in the figure, which is the output of an AWGN (Additive White Gaussian Noise) channel with two-sided noise PSD (Power Spectral Density) of 0.5W/Hz. If the signal is given as an input to a matched filter to s(t), then the slope of the output signal for (in V/s) and the value of the maximum SNR (Signal to Noise Ratio) (in dB) obtained at the output are respectively given as

Question 5

A delta modulation is made in such a manner so that it can operate at three times the Nyquist rate if signal given has a BW of 3 kHz. Each step size in quantisation is of 250mV. What will be the peak amplitude (in mV) of a 1kHz input sinusoidal wave for which delta modulation does not show slope overload?

Question 6

Consider the PSD of x(t) is given below. Determine the change in modulation level with and without premphasis for a fixed modulation power.

ω1 = 2π (2.1) (103) rad/sec

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