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# GATE EC 2022: Communication System Quiz 11

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Question 1

The transmitted signal in an analog baseband communication system gets degraded due to Additive White Gaussian Noise. PSD of the white noise is 10-8 W/Hz in a distortion-free transmission channel. An audio signal with Bandwidth of 3 kHz is transmitted and received and passed through RC low pass filter having 3-dB bandwidth of 6 kHz, so that noise power at the output is limited. Resultant noise power received (in μW) at the output would be______.

Question 2

In a digital communication system employing Frequency Shift Keying (FSK) model, 0 and 1 are represented using sine waves having frequencies 20 kHz and 30 kHz respectively. These waveforms would be orthogonal for which of the following bit interval

Question 3

Consider the following Phase Modulated signal

with fm = 2 kHz

If the message signal amplitude is halved and fm is doubled, then the resultant Bandwidth (in kHz) would be

Question 4

A ternary channel emits 3 symbols x1, x2 and x3 with probabilities Px(x1) = 0.4 and Px(x2) = Px(x3) = Q. The mutual information I(x|y) (in bits/symbol) would be given as (p is given to be 0.8)

Question 5

A digital communication system has a bit rate of 2 kbits/sec. The system is deploying a 16-QAM scheme for operation. The system has to be allocated with a minimum bandwidth in such a way that effect of inter-symbol interference is negligible. Determine the minimum bandwidth( in Hz).

Question 6

For a random process and

Given following statements:
1) X(t) is a wide sense stationary.
2) X(t) has average power of 113 W.
3) X(t) has a periodic component.
4) X(t) is not a first order stationary.
True statements among these is/are
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