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Problems 667<br />

the IF band of the satellite transponder. Let (CN) dn denote the IF CNR ratio at the downlink<br />

receiving ground station when the satellite is sending a perfect (noise-free) signal. Show that the<br />

overall operating CNR ratio at the IF of the receiving ground station, (CN) ov , is given by<br />

1<br />

(C>N) ov<br />

=<br />

1<br />

(C>N) up<br />

+<br />

8–41 For the wireless device link that is described in Study Aid Example SA8–3, use MATLAB to plot<br />

the path loss (in dB) as a function of distance over a range of 50 to 500 feet.<br />

★ 8–42 A PCS cellular site base station operates with 10W into an antenna with 18 dB gain at 1800 MHz.<br />

The path loss reference distance is d 0 = 0.25 miles, X dB = 0, and the PCS phone antenna has<br />

0 dB gain. Find the received power in dBm at the antenna output of the PCS phone when the PCS<br />

phone is located at distances of 1 mile, 2 miles, 5 miles, and 10 miles from the BS if the path loss<br />

exponent is<br />

(a) n = 2 (free space condition).<br />

(b) n = 3.<br />

(c) n = 4.<br />

8–43 The transmitter of a PCS CDMA cellular phone feeds 200 mW into its 0 dB gain antenna. The<br />

PCS signal is spread over a bandwidth of 1.25 MHz in the 1900 MHz band. Calculate the signal<br />

power received in dBm at the output of the base station antenna where the PCS phone is located<br />

2 km from the BS. Assume a path loss model given by Eq. (8–47), where d 0 = 100 m, n = 3 and<br />

X dB = 0. The BS antenna has a gain of 16 dB.<br />

8–44 Given a CDMA cellular phone link as described in Prob. 8–43 and by the IS-95 standard shown<br />

in Table 8–11. The base station receiving system has a noise figure of 8 dB and multiple access<br />

interference (MAI) from other phones adds 20 dB to the noise level at the front end of the BS<br />

receiver. Compute the CNR, (CN) dB , after despreading (i.e., at the data detector input) in the BS<br />

receiver. Also, find (E b N 0 ) dB after despreading. Assume that the bandwidth after despreading is<br />

1<br />

B = 19.2 kHz, since the data rate with coding is 19.2 kbs (9.6 kbs payload data rate with rate<br />

2<br />

coding) on each I and Q BPSK carrier of the QPSK signal.<br />

8–45 Assume that an analog TV station is licensed to operate on TV Channel 35 with an effective radiated<br />

visual power of 1000 W. The tower height is 400 ft, and the transmission line is 450 ft long. Assume<br />

that a 1 5 8 -in.-diameter semirigid 50-Ω coaxial transmission line will be used that has a loss of<br />

0.6 dB100 ft (at the operating frequency). The antenna has a gain of 5.6 dB, and the duplexer<br />

loss is negligible. Find the PEP at the visual transmitter output.<br />

★ 8–46 An analog TV visual transmitter is tested by modulating it with a periodic test signal. The envelope<br />

of the transmitter output is viewed on an oscilloscope as shown in Fig. P8–46, where K is<br />

an unknown constant. The output of the transmitter is connected to a 50-Ω dummy load that has<br />

1<br />

(C>N) dn<br />

1.0 K<br />

0.75 K<br />

0.5 K<br />

4.76 msec<br />

53 msec<br />

10.5 msec<br />

Figure P8–46<br />

t

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