1
GATE EE 2017 Set 2
MCQ (Single Correct Answer)
+1
-0.3
The pole-zero plots of three discrete-time systems P, Q and R on the z-plane are shown below. GATE EE 2017 Set 2 Signals and Systems - Discrete Time Signal Z Transformation Question 12 English Which one of the following is TRUE about the frequency selectivity of these systems?
A
All three are high-pass filters.
B
All three are band-pass filters.
C
All three are low-pass filters.
D
P is a low-pass filter, Q is a band-pass filter and R is a high-pass filter.
2
GATE EE 2015 Set 2
MCQ (Single Correct Answer)
+1
-0.3
The z-Transform of a sequence x[n] is given as X(z) = 2z+4−4/z+3/z2. If y[n] is the first difference of x[n], then Y(Z) is given by
A
$$2z+2-\frac8z+\frac7{z^2}-\frac3{z^3}$$
B
$$-2z+2-\frac6z+\frac1{z^2}-\frac3{z^3}$$
C
$$-2z-2+\frac8z-\frac7{z^2}+\frac3{z^3}$$
D
$$4z-2-\frac8z-\frac1{z^2}+\frac3{z^3}$$
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