ISRO Electronics & Communication (ECE) 2011 - Question 30

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Topic: Signals and Systems

The output of a circular convolution performed on two signals $x_{1}(n)=\{\underline{2},1,2,1\}$ and $x_{2}(n)=\{\underline{1},2,3,4\}$ is

  • A. (16, 14, 16, 14)
  • B. (14, 16, 14, 16)
  • C. (12, 14, 12, 14)
  • D. (14, 12, 14, 12)

Answer: B. (14, 16, 14, 16)

Explanation: Using matrix multiplication after shifting, the circular convolution yields (14, 16, 14, 16).

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