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**Unformatted text preview: **interest frequency is fc = 1500 Hz, according to sampling theorem, the sampling
frequency must be at least twice as much as fc . Let the sampling frequency be fs = 2fc = 3000
Hz. Then the cutoﬀ frequency for high-pass ﬁlter is
ωc = 2πfc
2π × 60
π
=
=
fs
3000
25 Note: In order to avoid aliasing, the signal should be ﬁltered by a low-pass ﬁlter with cutoﬀ
frequency 1500 Hz ﬁrst. 11 Figure 22: b) of the Think the climate as a continuous function of t. If we take 12 samples per year, it means we
sample the function by fs = 12 samples/year. Suppose the climate function (signal) has a periodic
component due to an...

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