sol_quiz1

sol_quiz1 - EE415O I _ Digital Signal Processing Spring...

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Unformatted text preview: EE415O I _ Digital Signal Processing Spring 2001 I Consider the analog signal I I za(t) 4‘: cos(24001rt) + 10 sin(8001rt) _ o What is the minimum sampling frequency that allows. exact reconStruction bf the‘s'ign‘al from'its Samples ? r ‘ a If the sampling frequency is set F, '= 4000Hz,;what.are the resulting frequencies of the sampled discrete signal ? _ - ’ ' - t I (a) fiémoo Hz ', gm:- nooH? F2: 400 $2; ' ~ * 'Y‘nm’smom . Sam‘flma Egjjf-wa Egzeoo Hz { v Nippefi’iear. £1 F7 “ " ‘ :6 /san‘\f>‘€» I 5: é p “L 4000 e 4000 \O EE4150 Digital Signal Processing Spring 2001 Quiz #1(b) , Consider the analog signal wa(t) = cos(24007rt) + 10 sin(8001rt) o If the analog signal is sampled at Fs=1kHz, what is the resulting discrete-time sequence ? The resulting sequence should have its frequency components in the interval —1/2 < f < 1/2. ' ‘ 399m = Cos (24oowrtH ‘0 gm (80mm) DUFF 13(1'3T)‘ £65 240mg; + «0 sin Scorn [GOO [GOO cos 24mm + lgsxm ng NV IO ,0 2 cos I'l‘lTh + IO sm 47TH 5 S 4.: (Os (QTYn‘l‘ + sin ...
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sol_quiz1 - EE415O I _ Digital Signal Processing Spring...

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