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GATE EC 2021: Signals & Systems Quiz 1 (App update required to attempt this test)

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Question 1

Consider a single input single output discrete-time system with x[n] as input and y[n] as output, where the two are related as

Which one of the following statements is true about the system?

Question 2

Which of the following signals are periodic?

Question 3

A discrete time signal x(n) = 6u(n) – 3u(n – 1). The power of x(n) will be

Question 4

Let x(n) =

Even component of x(n) is acos(bn) then the value of a & b are respectively.

Question 5

Let x(t) be represented as shown in the figure

The even part of the signal can be represented as

Question 6

Two sequences x₁ [n] and x₂ [n] have the same energy. Suppose x₁[n] = a 0.5ⁿ u[n], where a is a positive real number and u[n] is the unit step sequence. Assume
$Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC 10-Mar\GATE-ECE-2015-Paper-3_files\image213.png$
Then the value of a is__________.

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ESE & GATE EC Signals and Systems

Sep 20ESE & GATE EC