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GATE 2019: Signal & System Quiz 9

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Question 1

Let x[n] be discrete time signal whose z – transform is represented by X (z). The z – transform of the signal

Question 2

What is the one-sided z transform of x (n) = n2

Question 3

The Region of Convergence (ROC) of the z-transform of x[n]

Question 4

A system with transfer function H(z) has impulse response h(.) defined as h(2) =1, h(3) = –1 and h(k) = 0 otherwise. Consider the following statements.
S1: H(z) is a low-pass filter.
S2: H(z) is an FIR filter.
Which of the following is correct?

Question 5

Suppose x[n] is an absolutely summable discrete-time signal. Its z-transform is a rational function with two poles and two zeroes. The poles are at z = ±2j. Which one of the following statements is TRUE for the signal x[n]?

Question 6

The z-transform of the sequence x[n] is given by  with the region of
convergence
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Feb 26ESE & GATE EC