1
GATE ECE 2007
MCQ (Single Correct Answer)
+2
-0.6
The frequency response of a linear, time-invariant system is given by H(f) = $${5 \over {1 + j10\pi f}}$$. The step response of the system is
A
$$5(1 - {e^{ - 5t}})\,u(t)$$
B
$$5\left( {1 - {e^{ - {t \over 5}}}} \right)u(t)$$
C
$${1 \over 5}\left( {1 - {e^{ - 5t}}} \right)u(t)$$
D
$${1 \over 5}\left( {1 - {e^{ - {t \over 5}}}} \right)u(t)$$
2
GATE ECE 2007
MCQ (Single Correct Answer)
+2
-0.6
The 3 - dB bandwidth of the low - pass signal $${e^{ - 1}}$$ u(t), where u(t) is the unit step function, is given by
A
$${1 \over {2\pi }}Hz$$
B
$${1 \over {2\pi }}\sqrt {\sqrt 2 - 1\,} Hz$$
C
$$\infty $$
D
1 Hz
3
GATE ECE 2007
MCQ (Single Correct Answer)
+2
-0.6
A Hilbert transformer is a
A
non-linear system
B
non-causal system
C
time-varying system
D
low-pass system
4
GATE ECE 2007
MCQ (Single Correct Answer)
+2
-0.6
In the following scheme, if the spectrum M(f) of m(t) is as shown, then the spectrum Y(f) of y(t) will be: GATE ECE 2007 Signals and Systems - Miscellaneous Question 4 English 1 GATE ECE 2007 Signals and Systems - Miscellaneous Question 4 English 2
A
GATE ECE 2007 Signals and Systems - Miscellaneous Question 4 English Option 1
B
GATE ECE 2007 Signals and Systems - Miscellaneous Question 4 English Option 2
C
GATE ECE 2007 Signals and Systems - Miscellaneous Question 4 English Option 3
D
GATE ECE 2007 Signals and Systems - Miscellaneous Question 4 English Option 4
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