I am a junior high school student who has a general fascination for electronics, programming, and the like. Recently, I have been learning about signal processing.
Unfortunately, I haven't done much calculus yet (forgive me), so I am a little fuzzy on things.
If you were to compute the DTFT of a signal, what would be the difference between a $\sin$ or $\cos$ representation of that signal?
With the DTFT I understand that the signal you input would be discrete in time, but how in the world can you achieve a continuous signal in the frequency domain?
This leads to my second question, which is: how is the DTFT useful? Where has it been used with most applications and why?
I would appreciate any help.
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