1
GATE ECE 2015 Set 3
Numerical
+1
-0
Consider the function $$g(t) = {e^{ - t}}\,\,\,\sin (2\pi t)\,u(t)$$ where u(t) is the unit step function. The area under g(t) is_______________.
2
GATE ECE 2015 Set 1
Numerical
+1
-0
The waveform of a periodic signal x(t) is shown in the figure. A signal g(t) is defined by $$g(t) = x\left( {{{t - 1} \over 2}} \right)$$.

The average power of g(t) is___________________________.

3
GATE ECE 2014 Set 3
+1
-0.3
The phase response of a passband waveform at receiver is given by $$\varphi \,(f) = - 2\,\pi \,\alpha \,(f - {f_c}) - \,2\pi \beta \,{f_c}$$

where $${f_c}$$ is the centre frequency, and $$\alpha$$ and $$\beta$$ are positive constants. The actual signal propagation delay from the trasmitter to receiver is

A
$${{\alpha - \beta } \over {\alpha + \beta }}\,\,\,$$
B
$${{\alpha \,\beta } \over {\alpha + \beta }}$$
C
$$\alpha$$
D
$$\beta$$
4
GATE ECE 2014 Set 1
+1
-0.3
A discrete - time signal x[n] = $${\rm{sin(}}\,{\pi ^2}n)$$, n being an integer is
A
periodic with period $$\pi$$
B
periodic with period $$\,{\pi ^2}$$
C
periodic with period is $$\pi /2$$
D
not periodic.
GATE ECE Subjects
Signals and Systems
Network Theory
Control Systems
Digital Circuits
General Aptitude
Electronic Devices and VLSI
Analog Circuits
Engineering Mathematics
Microprocessors
Communications
Electromagnetics
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