Exercise

1. Execute DFT manually for the following input sample:

2. What will happen if we apply DFT to non-periodic functions such as ?
3. Construct the complex type tensor with the shape [2, 3].
4. How will the DFT result change if we increase the number of samples?
5. Illustrate the curve and magnitude of each frequency in the following function:
   1. 
6. What will happen to the result in the frequency domain if the input samples have an imaginary part?