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Getting the signal -- No. 1
The signal that I've got was taken from my own solution: y = sin(x)
Getting periodic signal
When you have that signal with a sampling rate at pi/4, you will see a periodic signal as shown in the picture on the left.
Getting non-periodic signal
When you have that signal with a sampling rate at 2.3, you will see a non-periodic signal as shown in the picture on the right.