1
GATE ECE 2010
MCQ (Single Correct Answer)
+1
-0.3
Consider an angle modulated signal x(t) = 6cos[2$$\mathrm\pi$$x106
t+2sin(8000$$\mathrm\pi$$t) +
4cos(8000$$\mathrm\pi$$t)] V. The average power of x(t) is.
2
GATE ECE 2010
MCQ (Single Correct Answer)
+2
-0.6
X(t) is a stationary process with the power spectral density Sx(f) > 0 for all f. The process is passed through a system shown below.
Let Sy(f) be the power spectral density of Y(t). Which one of the following statements is correct?
3
GATE ECE 2010
MCQ (Single Correct Answer)
+1
-0.3
Consider the pulse shape s(t) as shown. The impulse response h(t) of the filter matched to this pulse is
4
GATE ECE 2010
MCQ (Single Correct Answer)
+2
-0.6
Consider a base band binary PAM receiver shown below. The additive channel noise
$$n(t)$$ is white with power spectral density $${S_N}\left( f \right) = {N_0}/2 = {10^{ - 20}}$$ $$W/Hz$$. The low-pass filter
is ideal with unity gain and cut -off frequency $$1MHz$$. Let $${Y_k}$$ represent the random variable $$y\left( {{t_k}} \right)$$.
$${Y_k} = {N_k}$$ if transmitted bit $${b_k} = 0$$
$${Y_k} = a + {N_k}$$ if transmitted bit $${b_k} = 1$$
Where $${b_k} = 0$$ represents the noise sample value. The noise sample has a probability density function, $${P_{{N_k}}}\left( n \right)\,\,\,\,\,\,\, = 0.5\alpha {e^{ - \alpha \left| n \right|}}$$ (This has mean zero and variance $$2/{\alpha ^2}$$). Assume transmitted bits to be equiprobable and threshold $$z$$ is set to $$a/2 = {10^{ - 6}}V$$.
$${Y_k} = {N_k}$$ if transmitted bit $${b_k} = 0$$
$${Y_k} = a + {N_k}$$ if transmitted bit $${b_k} = 1$$
Where $${b_k} = 0$$ represents the noise sample value. The noise sample has a probability density function, $${P_{{N_k}}}\left( n \right)\,\,\,\,\,\,\, = 0.5\alpha {e^{ - \alpha \left| n \right|}}$$ (This has mean zero and variance $$2/{\alpha ^2}$$). Assume transmitted bits to be equiprobable and threshold $$z$$ is set to $$a/2 = {10^{ - 6}}V$$.
The value of the parameter $$\alpha $$( in V-1 ) is
Paper analysis
Total Questions
Analog Circuits
6
Communications
5
Control Systems
6
Digital Circuits
4
Electromagnetics
5
Electronic Devices and VLSI
3
Engineering Mathematics
7
Microprocessors
3
Network Theory
5
Signals and Systems
11
General Aptitude
10
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