1
GATE ECE 2016 Set 3
MCQ (Single Correct Answer)
+1
-0.3
In the $$RLC$$ circuit shown in the figure, the input voltage is given by vi(t) = 2 cos(200t)+4 sin(500t). The output voltage v0(t) is
A
cos(200t) + 2 sin(500t)
B
2cos(200t) + 4 sin(500t)
C
sin(200t) + 2 cos(500t)
D
2sin(200t) + 4 cos(500t)
2
GATE ECE 2016 Set 3
Numerical
+1
-0
The z-parameter matrix for the two-port network shown is $$\left[ {\matrix{ {2\,j\,\omega } & {j\,\omega } \cr {j\,\omega } & {3\, + \,2\,j\,\omega } \cr } } \right]$$\$ Where the entries are in $$\Omega$$. Suppose $$\,{Z_b}\,\left( {j\,\omega } \right) = {R_b} + j\,\omega$$ Then the value of $${R_b}$$ (in $$\Omega$$) equals _______________________3
Your input ____
3
GATE ECE 2016 Set 3
MCQ (Single Correct Answer)
+1
-0.3
If the signal x(t) = $${{\sin (t)} \over {\pi t}}*{{\sin (t)} \over {\pi t}}$$ with * denoting the convolution operation, then x(t) is equal to
A
$${{\sin (t)} \over {\pi t}}$$
B
$${{\sin (2t)} \over {\pi t}}$$
C
$${{2\sin (t)} \over {\pi t}}$$
D
$${\left( {{{\sin (t)} \over {\pi t}}} \right)^2}$$
4
GATE ECE 2016 Set 3
Numerical
+2
-0
A continuous-time speech signal $${x_a}(t)$$ is sampled at a rate of 8 kHz and the samples are subsequently grouped in blocks, each of size N. The DFT of each block is to be computed in real time using the radix-2 decimation-in-frequency FFT algorithm. If the processor performs all operations sequentially, and takes 20 µs for computing each complex multiplication (including multiplications by 1 and −1) and the time required for addition/ subtraction is negligible, then the maximum value of N is __________.
Your input ____
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