I have a simple question.
Suppose I have a signal : $f(t)=\sin(2\pi \, 25t)$
We know that it's CTFT(continuous time fourier transform) will result in 2 delta's at +- $2\pi\,25$ [rad/sec]. Or conversely at +- $25$ [Hz].
And that makes sense because $f(t)$ has a fundamental period of $T=1/25=0.04$ [sec]. But that also means that $f(t)$ is periodic with any integer multiple of $T$. Therefore, wouldn't that mean that we would expect to see all these harmonics as well in the Fourier Transform?
Meaning peaks at 12.5 Hz, 6.25 [Hz], … ?