PROBLEM 7.1 KNOWN: E(t) = 5sin 2πt 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. -6-4-2024600.20.40.60.811.2TIME [s]DISCRETE SERIESdt = 0.125 s
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