Consider the system of the figure shown below. The discrete-time system is an ideal low- pass filter with cutoff frequency we = radians. (a) If x(t) is band-limited to 4 kHz, compute the maximum value of sampling period, T (in sec/sample), that will avoid aliasing in the C/D converter. (b) If we sample at the rate fs = 12 kHz, what is the maximum frequency that passes through the ideal low-pass filter of the discrete system? (c) If x(t) is band-limited to 1 kHz, compute the maximum value of sampling period, T (in sec/sample), that will avoid aliasing in the C/D converter. (d) If we sample at the rate fs = 12 kHz, what is the maximum frequency that passes through the ideal low-pass filter of the discrete system? x(t) | C/D T Discrete-time system D/C x[n] y[n] y,(t) T

Computer Networking: A Top-Down Approach (7th Edition)
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Consider the system of the figure shown below. The discrete-time system is an ideal low-
pass filter with cutoff frequency we = radians.
(a) If x(t) is band-limited to 4 kHz, compute the maximum value of sampling period, T (in
sec/sample), that will avoid aliasing in the C/D converter.
(b) If we sample at the rate fs = 12 kHz, what is the maximum frequency that passes through the
ideal low-pass filter of the discrete system?
(c) If x(t) is band-limited to 1 kHz, compute the maximum value of sampling period, T (in
sec/sample), that will avoid aliasing in the C/D converter.
(d) If we sample at the rate fs = 12 kHz, what is the maximum frequency that passes through the
ideal low-pass filter of the discrete system?
x(t)
|
C/D
T
Discrete-time
system
D/C
x[n]
y[n]
y,(t)
T
Transcribed Image Text:Consider the system of the figure shown below. The discrete-time system is an ideal low- pass filter with cutoff frequency we = radians. (a) If x(t) is band-limited to 4 kHz, compute the maximum value of sampling period, T (in sec/sample), that will avoid aliasing in the C/D converter. (b) If we sample at the rate fs = 12 kHz, what is the maximum frequency that passes through the ideal low-pass filter of the discrete system? (c) If x(t) is band-limited to 1 kHz, compute the maximum value of sampling period, T (in sec/sample), that will avoid aliasing in the C/D converter. (d) If we sample at the rate fs = 12 kHz, what is the maximum frequency that passes through the ideal low-pass filter of the discrete system? x(t) | C/D T Discrete-time system D/C x[n] y[n] y,(t) T
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