1
GATE ECE 2004
MCQ (Single Correct Answer)
+1
-0.3
The Fourier transform of a conjugate symmetric function is always
A
imaginary
B
conjugate anti-symmetric
C
real
D
conjugate symmetric
2
GATE ECE 2002
MCQ (Single Correct Answer)
+1
-0.3
The Fourier transform F $$\left\{ {{e^{ - t}}u(t)} \right\}$$ is equal to $${1 \over {1 + j2\pi f}}$$. Therefore, $$F\left\{ {{1 \over {1 + j2\pi t}}} \right\}$$ is
A
$${e^f}u(f)$$
B
$${e^{ - f}}$$ u(f)
C
$${e^f}u(f)$$
D
$${e^{ - f}}$$u(-f)
3
GATE ECE 2001
MCQ (Single Correct Answer)
+1
-0.3
If a signal f(t) has energy E, the energy of the signal f(2t) is equal to
A
E
B
E/2
C
2E
D
4E
4
GATE ECE 2000
MCQ (Single Correct Answer)
+1
-0.3
The Fourier Transform of the signal $$x(t) = {e^{ - 3{t^2}}}$$ is of the following form, where A and B are constants:
A
$$A{e^{ - B\left| f \right|}}$$
B
$$A{e^{ - Bf}}$$
C
$$A + B{\left| f \right|^2}$$
D
$$A{e^{ - B{f^2}}}$$
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