1
GATE ECE 2005
+2
-0.6
Match the following and choose the correct combination.

GROUP 1
E- continuous and aperiodic signal
F- continuous and periodic signal
G- discrete and aperiodic signal
H- discrete and periodic signal

Group 2
1- Fourier representation is continuous and aperiodic
2- Fourier representation is discrete and aperiodic
3- Fourier representation is continuous and periodic
4- Fourier representation is discrete and periodic

A
E -3, F - 2, G - 4, H -1
B
E -1, F - 3, G - 2, H - 4
C
E - 1, F - 2, G - 3, H -4
D
E -2, F - 1, G - 4, H -3
2
GATE ECE 2004
+2
-0.6
Consider the sequence

$$x[n] = [ - \,4 - \,j5,\,\mathop {1 + j2}\limits_ \uparrow ,\,\,4]$$

The conjugate anti-symmetric part of the sequence is

A
$$\left[ {\matrix{ { - 4 - j\,\,2.5} & {j\,2} & {4 - j\,\,2.5} \cr } } \right]$$
B
$$\left[ {\matrix{ { - j\,\,2.5} & 1 & { - j\,\,2.5} \cr } } \right]$$
C
$$\left[ {\matrix{ { - j\,\,5} & {j\,2} & 0 \cr } } \right]$$
D
$$\left[ {\matrix{ { - 4} & 1 & 4 \cr } } \right]$$
3
GATE ECE 1995
Subjective
+2
-0
Match each of the items, A, B and C, with an appropriate item from 1, 2, 3, 4 and 5

A. Fourier transform of a Gaussian function
B. Convolution of a rectangular pulse with itself
C. Current through an inductor for a step input voltage

1. Gaussian function
2. Rectangular pulse
3. Triangular pulse Ramp function
4. Rump function
5. Zero

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