chap07 - PROBLEM 7.1 KNOWN FIND SOLUTION The signal is...

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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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