GATE EC 2022: Signals & Systems Quiz 1

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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?

• AIt is causal and stable
• BIt is causal but not stable
• CIt is not causal but stable
• DIt is neither causal nor stable

Question 2

Which of the following signals are periodic?

• AX(t) = e^-at
• BX(t) = e^bt
• CX(t) = 5
• DX(t) = cos (4πt)

Question 3

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

• A36 Watt
• B9 Watt
• C4.5 Watt
• DThis is energy signal with lower zero.

Question 4

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

• A0.5 and 2
• B-0.5 and 2
• C0.5 and -2
• D-0.5 and -2

Question 5

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


The even part of the signal can be represented as

• A
• B
• C
• DNone of these

Question 6

Find the old part of this signal

• A
• B
• C
• D

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