Periodicity of Euler's function

ISTER_REG

Junior Member
Joined
Oct 28, 2020
Messages
59
Hello,

I came across the following sentence which is a bit unclear to me:

We can observe that [imath]e^{2 \pi j (\theta- i/2^n)}[/imath] is periodic in [imath]i[/imath] according to [imath]2^n[/imath]

Where here [imath]\theta \in [0,1], i \in \{0,...,2^n-1\}, n \in \mathbb{N}[/imath]

I know that Euler's function in the form [imath]e^{2\pi jx}[/imath] moves on the unit circle. But I am a bit confused about the "according to [imath]2^n[/imath]" in the statement from above, what does it mean?
 
You must be an electrical engineer :) I am guessing that "according to" here means "has a period of".
 
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