1
GATE ECE 2012
MCQ (Single Correct Answer)
+2
-0.6
The Fourier transform of a signal h(t) is $$H(j\omega )$$ =(2 cos $$\omega $$) (sin 2$$\omega $$) / $$\omega $$. The value of h(0) is
A
1/4
B
1/2
C
1
D
2
2
GATE ECE 2008
MCQ (Single Correct Answer)
+2
-0.6
The signal x(t) is described by $$x\left( t \right) = \left\{ {\matrix{ {1\,\,\,for\,\, - 1 \le t \le + 1} \cr {0\,\,\,\,\,\,\,\,\,\,\,\,\,\,otherwise} \cr } } \right.$$

Two of the angular frequencies at which its Fourier transform becomes zero are

A
$$\pi ,\,2\pi $$
B
$$0.5\,\pi ,\,1.5\,\pi $$
C
$$0,\,\pi $$
D
$$2\,\pi ,\,2.5\,\pi $$
3
GATE ECE 2005
MCQ (Single Correct Answer)
+2
-0.6
For a signal x(t) the Fourier transform is X(f). Then the inverse Fourier transform of X(3f+2) is given by
A
$${1 \over 2}\,x\left( {{t \over 2}} \right){e^{j3\pi t}}$$
B
$${1 \over 3}\,x\left( {{t \over 3}} \right){e^{ - j4\pi t/3}}$$
C
$$3\,x(3t){e^{ - j4\pi t}}$$
D
$$x(3t + 2)$$
4
GATE ECE 2004
MCQ (Single Correct Answer)
+2
-0.6
Let x(t) and y(t) (with Fourier transforms X(f) and Y(f) respectively) be related as shown in Fig.(1) & (2). GATE ECE 2004 Signals and Systems - Fourier Transform Question 14 English

Then Y(f) is

A
$$ - {1 \over 2}X(f/2){e^{ - j2\pi f}}$$
B
$$ - {1 \over 2}X(f/2){e^{j2\pi f}}$$
C
$$ - X(f/2){e^{j2\pi f}}$$
D
$$ - X(f/2){e^{ - j2\pi f}}$$
GATE ECE Subjects
EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12