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1. Humans can hear sounds at frequencies between 0 and 22.05 kHz. What minimum sampling rate should be choosen to permit perfect recovery from samples?
2. Determine the Nyquist sampling rate for each of the following analog signals:
a. x(t)=cos(20t+12deg.)
b. xx(t)=2sin(5000pi t/3)
c. x(t)=sin(3000pi t/7)
3. A voice signal is sampled at 8000 samples per second.
a. What is the time between samples?
b. What is the maximum frequecy that will be recovered from the signal?
4. A cell phone transmits voice signals on a carrier. the transmissions lie inbetween 900MHz to 900.03MHz. What minimum sampling rate should be choosen so that the transmisions will be recoverable from the digital samles?
5. Voltages between -3V and +3V must be digitized. Find the Quatization step size when samples are quatized using:
a. 4 bits
b. 8 bits
c. 16 bits
6. How many digital codes can be prodced by an A/D converter using:
a. 8 bits
b. 10 bits
c. 12 bits
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Design a PD Controller G_c(s) = K_p + K_d*s using the root-locus method such that the closed-loop system has a damping ratio, zeta = 0.7 and a natural frequency, omega_n = 0.5 rad/sec.
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Consider a satellite communication link with a one way propagation delay of 300ms between the sender and receiver, operating at 10Mbps using packets of length 1500bytes. Length of the ACK packet is also 1500 bytes.
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For input signal voltages between these limits, the input should pass unaltered to the output. The peak current drawn from the input source may not exceed 1mA. You may use any circuit component we've studied except opamps.
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