# Communications [GATE (Graduate Aptitude Test in Engineering) Electronics]: Questions 100 - 102 of 106

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## Question 100

Appeared in Year: *2021*

### Question

MCQ▾A digital transmission system uses a (7,4) systematic linear Hamming code for transmitting data over a noisy channel. If three of the message codeword pairs in this code where c_{i} is the codeword corresponding to the i^{th} message , are known to be (1100; 0101100) , (1110; 0022220) and (0110; 1000110) , then which of the following is a valid codeword in this code?

### Choices

Choice (4) | Response | |
---|---|---|

a. | 0110100 | |

b. | 0001011 | |

c. | 1011010 | |

d. | 1101001 |

## Question 101

Appeared in Year: *2020*

### Question

Numeric Answer▾The random variable Where and W (t) is a real white Gaussian noise process with two-sided power spectral density W/Hz, for all f. The variance of Y is

The random variable

Where

And W (t) is a real white Gaussian noise process with two-sided power spectral density SW (f) = 3 W/Hz, for all f. The variance of Y is

## Question 102

Appeared in Year: *2021*

### Question

Numeric Answer▾A sinusoidal message signal having root mean square value of 4 V and frequency of 1 kHz is fed to a phase modulator with phase deviation constant 2 rad/volt. If the carrier signal is , the maximum instantaneous frequency of the phase modulated signal (rounded off to one decimal place) is ________ Hz.