!€:tz9nguG {.2E Digital rcp|ls€ntarioo of an rdog wrvcfoml(siE) tbrt ilustntcs the &6nitior achicved with l0 i.r|Fph3.Ali.. si$.t od /r - 5.t\s^n.to3 sign.l in /2 = fA3urc 4.29 Elfcd of.liasiry whcn . siDusoid k s.mplcd rt . frlqueEy I, = 3l2ltS|ttal lt.qu.ncy f2trc a-il h@y tfpq!€ fulElion fo( r! idcd rndog uri-&r-f tu Slr r ADC ri r. s.mpliog ntr /,.EI'i80\ r i. u|. co|t*ri!.r 9.iod\6 7 8o.. f, LEEE 102 -- Some Notes on the phenomenon of Aliasing…1. The Nyquist Sampling Theorem leads us to the conclusion that the following relationshipmust be satisfied in order to avoid aliasing an input signal frequency component:(where fs is the sampling frequency and f* is the highest significant frequency component in thesignal being sampled),2. Conversely, aliasing will occur if:3. Alias frequencies can be calculated from the following equation:(where f1 is the “alias” frequency, f2 is the signal frequency, and m = 1, 2, 3, …4. Possible alias frequencies are always less than half of the sampling frequency. This must beso since, if:the Nyquist Sampling Theorem would have us conclude that such an alias could not bereproduced at that frequency!fs > 2 f*f* > fs2±f1 = f2 - mfsf1 >
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