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Signals and Systems
Linear Time Invariant Systems
Marks 1Marks 2Marks 4Marks 5
Continuous and Discrete Time Signals
Marks 1Marks 2
Continuous Time Signal Fourier Transform
Marks 1Marks 2
Continuous Time Periodic Signal Fourier Series
Marks 1Marks 2Marks 5
Discrete Time Signal Z Transformation
Marks 1Marks 2
Miscellaneous
Marks 2
Continuous Time Signal Laplace Transform
Marks 1Marks 2
Sampling Theorem
Marks 1Marks 2
1
GATE EE 2023
MCQ (Single Correct Answer)
+1
-0.33

The Z-transform of a discrete signal $$x[n]$$ is

$$X(z) = {{4z} \over {(z - {1 \over 5})(z - {2 \over 3})(z - 3)}}$$ with $$ROC = R$$.

Which one of the following statements is true?

A
Discrete-time Fourier transform of $$x[n]$$ converges if R is $$|z| > 3$$
B
Discrete-time Fourier transform of $$x[n]$$ converges if R is $${2 \over 3} < |z| < 3$$
C
Discrete-time Fourier transform of $$x[n]$$ converges if R is such that $$x[n]$$ is a left-sided sequence
D
Discrete-time Fourier transform of $$x[n]$$ converges if R is such that $$x[n]$$ is a right-sided sequence
2
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.
3
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
$$4z-2-\frac8z-\frac1{z^2}+\frac3{z^3}$$
Questions Asked from Marks 1
GATE EE 2023 (1) GATE EE 2017 Set 2 (1) GATE EE 2015 Set 2 (1)
GATE EE Subjects
Electromagnetic Fields
Signals and Systems
Engineering Mathematics
General Aptitude
Power Electronics
Power System Analysis
Analog Electronics
Control Systems
Digital Electronics
Electrical Machines
Electric Circuits
Electrical and Electronics Measurement