GATE EC 2016 Question Paper (31-Jan-2016) (Shift 2)

For a superheterodyne receiver, the intermediate frequency is 15 MHz and the local oscillator frequency is 3.5 GHz. If the frequency of the received signal is greater than the local oscillator frequency, then the image frequency (in MHz) is _______________

An analog baseband signal, bandlimited to 100 Hz, is sampled at the Nyquist rate. The samples are quantized into four message symbols that occur independently with probabilities $p_1=p_4=0.125$ and $p_2=p_3$. The information rate (bits/sec) of the message source is ____________

A binary baseband digital communication system employs the signal

$p(t)=\{\begin{array}{ll}\frac{1}{\sqrt{T_s}},& 0\le t\le T_s\\ 0,& \text{otherwise}\end{array}$

for transmission of bits. The graphical representation of the matched filter output $y(t)$ for this signal will be

If a right-handed circularly polarized wave is incident normally on a plane perfect conductor, then the reflected wave will be

Faraday's law of electromagnetic induction is mathematically described by which one of the following equations?