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14 April, 2015 - 12:17

Discrete-time sinusoids have the obvious form s (n)= Acos (2πfn + ϕ). As opposed to analog complex exponentials and sinusoids that can have their frequencies be any real value, frequencies of their discrete-time counterparts yield unique waveforms only when f lies in the interval
\left ( -\frac{1}{2}, \frac{1}{2} \right ]This choice of frequency interval is arbitrary; we can also choose the frequency to lie in the interval [0,1). How to choose a unit-length interval for a sinusoid's frequency will become evident later.