1
GATE ECE 2016 Set 3
+1
-0.3
A binary baseband digital communication system employs the signal $$p\left( t \right) = \left\{ {\matrix{ {{1 \over {\sqrt {{T_s}} }},} & {0 \le t \le {T_s}} \cr {0,} & {otherwise} \cr } ,} \right.$$\$

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

A
B
C
D
2
GATE ECE 2016 Set 3
Numerical
+2
-0
A voice-grade AWGN (additive white Gaussian noise) telephone channel has a bandwidth of 4.0 kHz and two-sided noise power spectral density $${\eta \over 2} = 2.5\, \times \,{10^{ - 5}}$$ Watt per Hz. If information at the rate of 52 kbps is to be transmitted over this channel with arbitrarily small bit error rate, then the minimum bit energy $${E_b}$$ (in mJ/bit) necessary is ________________
3
GATE ECE 2016 Set 3
+1
-0.3
For the unity feedback control system shown in the figure, the open-loop transfer function G(s) is given as $$G\left(s\right)\;=\;\frac2{s\left(s\;+\;1\right)}$$ .The steady state error ess due to a unit step input is
A
$$0$$
B
0.5
C
1.0
D
$$\infty$$
4
GATE ECE 2016 Set 3
Numerical
+2
-0
The forward-path transfer function and the feedback-path transfer function of a single loop negative feedback control system are given as $$G\left(s\right)=\frac{K\left(s+2\right)}{s^2+2s+2}$$ and H(s) = 1 respectively.If the variable parameter K is real positive, then the location of the breakaway point on the root locus diagram of the system is_____________.
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