GATE EC 2022: Communication System Quiz 11

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______.

Consider the following Phase Modulated signal

with f_m = 2 kHz

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

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

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).

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