We mentioned that each cycle has a strength, a delay and a speed. So, \(si = \frac = -1\), can be understood: it means a 180 degrees ( \(\pi\) radians) rotation, placing the point in the x-axis, in the opposite side of the unit circle, ie, at point (-1,0) in the complex plane, which is the integer \(-1\). This time interval is called the sample interval, si, which is the fundamental period time divided by the number of samples \(N\). For simplicity we will make the time interval between samples equal.
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