Geoscience Reference
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Figure 10.17. Spectra of sine wave and sawtooth wave with 100,000-year periods.
Figure 10.18. Three simple functions for spectral analysis. The solid curve is cos ð 2t Þ and the
dashed curves add noise to this curve. The period of the solid curve is .
Another simple example is given in Figure 10.20 , which displays 17 points
from the curve:
F ð t Þ¼ cos ð 2
:
5t Þþ cos ð 1
:
5t Þ
When the same spectral procedure is carried out on these 17 points, the resultant
frequency distribution is as shown in Figure 10.20 . There are now two primary
frequencies at 0.23 and 0.42 cycles per unit time, corresponding to periods of
4.5 2
/1.5 and 2.4 2
/2.5 time units (see Figure 10.21 ).
 
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