PROBLEM 7.1
KNOWN:
E(t) = 5sin 2
π
t mV
FIND:
Convert to a discrete time series and plot
SOLUTION
The signal is converted to a discrete time series for using N = 8 and sample time
increments of 0.125, 0.30, and 0.75 s and plotted below. The time increments of 0.125 and
0.30 s produce discrete series with a period of 1s or frequency of 1 Hz. The series created
with a time increment of 0.75 s, which fails the Sampling Theorem criterion, portrays a
signal with a different frequency content; this frequency is the alias frequency.
-6
-4
-2
0
2
4
6
0
0.2
0.4
0.6
0.8
1
1.2
TIME [s]
DISCRETE SERIES
dt = 0.125 s

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