Consider the analog signal x(t) = 5 cos(400nt) a) Determine the Nyquist rate, b) If sampling frequency is 800 Hz, what is the discrete-time signal obtained after sampling? If the discrete-time signal is periodic, find the period. c) If sampling frequency is 300 Hz, what is the discrete-time signal obtained after sampling? If the discrete-time signal is periodic, find the period. d) What is the frequency 0 < fo < 5 of a sinusoid that gives samples identical to those obtained in part (c)? Note: u(t) is continuous-time unit step function, 8(t) is continuous-time unit impulse function, 8[n] is discrete-time unit impulse function, and u[n] is discrete-time unit step function.

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Consider the analog signal x(t) = 5 cos(400t)
a) Determine the Nyquist rate,
b) If sampling frequency is 800 Hz, what is the discrete-time signal obtained after sampling? If the
discrete-time signal is periodic, find the period.
c) If sampling frequency is 300 Hz, what is the discrete-time signal obtained after sampling? If the
discrete-time signal is periodic, find the period.
d) What is the frequency 0 < fo < 5 of a sinusoid that gives samples identical to those obtained in
part (c)?
Note: u(t) is continuous-time unit step function, 8(t) is continuous-time unit impulse function,
8[n] is discrete-time unit impulse function, and u[n] is discrete-time unit step function.
Transcribed Image Text:Consider the analog signal x(t) = 5 cos(400t) a) Determine the Nyquist rate, b) If sampling frequency is 800 Hz, what is the discrete-time signal obtained after sampling? If the discrete-time signal is periodic, find the period. c) If sampling frequency is 300 Hz, what is the discrete-time signal obtained after sampling? If the discrete-time signal is periodic, find the period. d) What is the frequency 0 < fo < 5 of a sinusoid that gives samples identical to those obtained in part (c)? Note: u(t) is continuous-time unit step function, 8(t) is continuous-time unit impulse function, 8[n] is discrete-time unit impulse function, and u[n] is discrete-time unit step function.
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