Periodicy properties of DT vs CT Signals

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For CT, two basic things:

1. As you increase the frequency (ω₀), the sinusoidal oscillation gets faster and faster, and each different frequency produces a unique signal. There’s no ambiguity.
2. e^(jω₀t) is periodic for any value of ω₀. No matter what frequency you choose for a continuous-time complex exponential, it will always be periodic.

for DT, the first point is different: aliasing in discrete time Periodicity check for CT and DT