If x(t)=A sin(50 Tt) -B cos (100t), and the fs =200 Hz, then is the discrete time signal x[n] is equal to:* O A sin 0.25n+ B cos 0.5n O A sin 0.25nn+ B cos 0.5rn O A sin 0.25tn+ B cos 0.5n O A sin 0.5run+B cos 0.5rn

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If x(t)=A sin(50 Ttt) +B cos (100t), and the fs =200 Hz, then is the discrete time
signal x[n] is equal to: *
O A sin 0.25n+ B cos 0.5n
A sin 0.25n+ B cos 0.5rn
O A sin 0.25nn+ B cos 0.5n
A sin 0.5tn+ B cos 0.5nn
If x(t)=3cos100rtt what is the sampling rate to avoid aliasing *
О 100
50 п
50
100n
For 32-points, how many times the FFT is faster than the direct evaluation using
DFT if complex addition times are O.1 sec and complex multiplication times are 1
sec? *
O 96
1.123
O 11.7
O 160
O 80
Transcribed Image Text:If x(t)=A sin(50 Ttt) +B cos (100t), and the fs =200 Hz, then is the discrete time signal x[n] is equal to: * O A sin 0.25n+ B cos 0.5n A sin 0.25n+ B cos 0.5rn O A sin 0.25nn+ B cos 0.5n A sin 0.5tn+ B cos 0.5nn If x(t)=3cos100rtt what is the sampling rate to avoid aliasing * О 100 50 п 50 100n For 32-points, how many times the FFT is faster than the direct evaluation using DFT if complex addition times are O.1 sec and complex multiplication times are 1 sec? * O 96 1.123 O 11.7 O 160 O 80
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