1
GATE ECE 2014 Set 2
Numerical
+1
-0
Consider the periodic square wave in the figure shown. GATE ECE 2014 Set 2 Signals and Systems - Representation of Continuous Time Signal Fourier Series Question 8 English The ratio of the power in the 7th harmonic to the power in the 5th harmonic for this waveform is closest in value to _______.
Your input ____
2
GATE ECE 2014 Set 2
MCQ (Single Correct Answer)
+1
-0.3
An FIR system is described by the system function $$$H(z) = 1 + {7 \over 2}{z^{ - 1}} + {3 \over 2}{z^{ - 2}}$$$
A
maximum phase
B
manimum phase
C
mixed phase
D
zero phase
3
GATE ECE 2014 Set 2
MCQ (Single Correct Answer)
+1
-0.3
Let x$$\left[ n \right]$$ = x$$\left[- n \right]$$ . Let X(z) be the z-transform of x$$\left[ n \right]$$. if 0.5 +j 0.25 is a zero of X(z), which one of the folowing must also be a zero of X (z)
A
0.5 - j0.25
B
1/ (0.5 + j0.25)
C
1/ (0.5 - j 0.25)
D
2 + j4
4
GATE ECE 2014 Set 2
MCQ (Single Correct Answer)
+2
-0.6
The input-output relationship of a causal stable LTI system is given as
ð‘Ķ[𝑛] = 𝛞 ð‘Ķ[𝑛 − 1] + $$\beta $$ x[n].
If the impulse response h[n] of this system satisfies the condition $$\sum\limits_{n = 0}^\infty h $$[n] = 2, the relationship between Îą and is $$\alpha $$ and $$\beta $$ is
A
𝛞 = 1 − $${\beta \over 2}$$
B
𝛞 = 1 + $${\beta \over 2}$$
C
𝛞 = 2ð›―
D
𝛞 = −2ð›―
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