Digital Signal Processing Reference
In-Depth Information
Illustration 34: Symmetrical rectangular pulse sequence with varying time reference point t = 0 s
In both representations it is the same signal. The lower one is staggered compared with the upper one by
T/2. Both representations have a different time reference point t = 0 s. A time displacement of T/2 is exactly
equivalent to a phase displacement of
π
. This explains the different phase spectra. On account of
τ
/T = 1/2 all the even-numbered harmonics are lacking (i.e. the zero positions of the spectrum are 2 Hz,
4Hz etc).
All the large characteristic time values appear small in the
frequency domain, all the small characteristic time values
appear large in the frequency domain.
Example: Compare period length T and pulse duration
τ
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