Activity 2

Test your understanding of systems and convolution.

Problem statement

You can use either theory or code to solve this question.

Consider the following two signals:

x[n]={2,1,1,3}y[n]={1,4,1,1}\begin{align*} x[n]&=\{2, 1, -1, 3\}\\ y[n]&=\{-1, 4, 1, 1\} \end{align*}

  • Find the circular convolution between them.
  • Take their 4-point DFTs, multiply them, and take the IDFT of the result. Compare with the answer obtained in part above.

Are they the same?

Write your code below

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