GATE EE 2017 Set 2 | Discrete Time Signal Z Transformation Question 4 | Signals and Systems

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

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?

All three are high-pass filters.

All three are band-pass filters.

All three are low-pass filters.

P is a low-pass filter, Q is a band-pass filter and R is a high-pass filter.

GATE EE 2015 Set 2

MCQ (Single Correct Answer)

-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

$$2z+2-\frac8z+\frac7{z^2}-\frac3{z^3}$$

$$-2z+2-\frac6z+\frac1{z^2}-\frac3{z^3}$$

$$-2z-2+\frac8z-\frac7{z^2}+\frac3{z^3}$$

$$4z-2-\frac8z-\frac1{z^2}+\frac3{z^3}$$

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