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# 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?

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

The even part of the signal can be represented as

Question 6

Find the old part of this signal

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