Tutorial Q1: Find the minimum sampling rate that can be used to obtain samples that completely specify the signals: (a) x(t) = 10cos(20nt)-5cos(100nt) +20cos(400лt) (b) y(t) = 2cos(20nt) + 4sin(20nt - π/4) +5cos(8t) Q2: Consider the analog signal x(t)=3cos2000xt+ 5sin6000rt+10cos12000πt (a) What is the Nyquist rate for this signal? (b)Assume now that we sample this signal using a sampling rate F, = 5000 samples/s. What is the discrete time signal obtained after sampling? Dr. Ahmed 10

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Q1: Find the minimum sampling rate that can be used to obtain samples that
completely specify the signals:
(a) x(t) = 10cos(20nt)-5cos(100nt) +20cos(400лt) (b)
y(t) = 2cos (20nt) + 4sin(20лt - π/4) +5cos(8nt)
Q2: Consider the analog signal
x(t) = 3cos2000лt + 5sin6000rt+10cos12000πt
(a) What is the Nyquist rate for this signal?
(b)Assume now that we sample this signal using a sampling rate F, = 5000
samples/s. What is the discrete time signal obtained after sampling?
Dr. Ahmed
10
Transcribed Image Text:Tutorial Q1: Find the minimum sampling rate that can be used to obtain samples that completely specify the signals: (a) x(t) = 10cos(20nt)-5cos(100nt) +20cos(400лt) (b) y(t) = 2cos (20nt) + 4sin(20лt - π/4) +5cos(8nt) Q2: Consider the analog signal x(t) = 3cos2000лt + 5sin6000rt+10cos12000πt (a) What is the Nyquist rate for this signal? (b)Assume now that we sample this signal using a sampling rate F, = 5000 samples/s. What is the discrete time signal obtained after sampling? Dr. Ahmed 10
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