Which means that almost all of the frequency amplitude is concentrated above 0 0. Formally, F[f(t)] = F[1] = F(ω) = δ(ω) F [f (t)] = F [1] = F (ω) = δ (ω) you can find the proof here. Now what I said above is one way to "construct" a DC signal. We can also do what you said, observe that the signal is actually periodic for any time period ... More @Wikipedia
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