1
GATE ECE 2016 Set 2
Numerical
+1
-0
The energy of the signal x(t) =$${{\sin (4\pi t)} \over {4\pi t}}$$ is ___________.
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2
GATE ECE 2016 Set 2
Numerical
+2
-0
The Discrete Fourier Transform (DFT) of the 4-point sequence
$$x\left[ n \right]$$= {x[0], x[1], x[2], x[3]}
= {3, 2, 3, 4 } is
x[k] = {X[0], X[1], X[2], X[3]}
= {12, 2j, 0, -2j }
If $${X_1}$$ [k] is the DFT of the 12- point sequence$${X_1}$$[n] = {3, 0, 0, 2, 0, 0, 3, 0, 0, 4, 0, 0 },
The value of $$\left| {{{{X_1}[8]} \over {{X_1}[11]}}} \right|$$ is-----------------------.
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3
GATE ECE 2016 Set 2
Numerical
+2
-0
A continuous-time filter with transfer function $$\,H(S) = {{2s + 6} \over {{s^2} + 6s + 8}}$$ is converted to a discrete time filter with transfer function $$G(Z) = {{2{z^2} - 0.5032\,z} \over {{z^2} - 0.5032z + k}}$$ so that the impulse response of the continuous-time filter, sampled at 2 Hz, is identical at the sampling instants to the impulse response of the discrete time filter, The value of k is _________________________.
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4
GATE ECE 2016 Set 2
MCQ (Single Correct Answer)
+1
-0.3
Given (9 inches)1/2 = (0.25 yards)1/2, which one of the following statements is TRUE?
A
3 inches = 0.5 yards
B
9 inches = 1.5 yards
C
9 inches = 0.25 yards
D
81 inches = 0.0625 yards
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