Electronics & Communication Gate Yearwise
Electronics and Communication GATE 2016 Set-1 Questions with Answer
Ques 1 Analog Communication
The block diagram of a frequency synthesizer consisting of a Phase Locked Loop (PLL) and a divide-by-N counter (comprising 2,4,8,16 outputs) is sketched below. The synthesizer is excited with a 5 kHz signal (Input 1). The free-running frequency of the PLL is set to 20 kHz. Assume that the commutator switch makes contacts repeatedly in the order 1-2-3-4. The corresponding frequencies synthesized are:

Ques 2 Analog Communication
A superheterodyne receiver operates in the frequency range of 5-68 MHz. The intermediate frequency fIF and local oscillator frequency fLO are chosen such that fIF≤fLO. It is required that the image frequencies fall outside the 5-68 MHz band. The minimum required fIF (in MHz) is
5 is the correct answer.
Ques 3 Analog Communication
The amplitude of a sinusoidal carrier is modulated by a single sinusoid to obtain the amplitude modulated signal s(t)=5cos(1600πt)+20cos(1800πt)+5cos(2000πt). The value of the modulation index is
0.5 is the correct answer.
Ques 4 Control Systems
Match the inferences X, Y, and Z, about a system, to the corresponding properties of the elements of first column in Routh's Table of the system characteristic equation.

Ques 5 Control Systems
A closed-loop control system is stable if the Nyquist plot of the corresponding open-loop transfer function
Ques 6 Control Systems
The open-loop transfer function of a unity-feedback control system is G(s)=k/(s2+5s+5). The value of K at the breakaway point of the feedback control system's root-locus plot is
2.8 is the correct answer.
Ques 7 Control Systems
The open-loop transfer function of a unity-feedback control system is given by G(s)=K/(s(s+2)). For the peak overshoot of the closed-loop system to a unit step input to be 10%, the value of K is
2.9 is the correct answer.
Ques 8 Control Systems
The transfer function of a linear time invariant system is given by H(s)=2s4-5s3+5s-2. The number of zeros in the right half of the s-plane is
3 is the correct answer.
Ques 9 Digital Circuits
The output of the combinational circuit given below is

Ques 10 Digital Circuits
Identify the circuit below.

Ques 11 Digital Circuits
The functionality implemented by the circuit below is

Ques 12 Digital Communication
Consider binary data transmission at a rate of 56 kbps using baseband binary pulse amplitude modulation (PAM) that is designed to have a raised-cosine spectrum. The transmission bandwidth (in kHz) required for a roll-off factor of 0.25 is
35 is the correct answer.
Ques 13 Digital Communication
Consider a discrete memoryless source with alphabet S={s0,s1,s2,s3,s4,...} and respective probabilities of occurrence P={1/2,1/4,1/8,1/16,1/32,...}. The entropy of the source (in bits) is
2 is the correct answer.

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