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Problems 665<br />

★ 8–26 A TV set is connected to an antenna system as shown in Fig. P8–26. Evaluate<br />

(a) The overall noise figure.<br />

(b) The overall noise figure if a 20-dB RF preamp with a 3-dB noise figure is inserted at<br />

point B.<br />

(c) The overall noise figure if the preamp is inserted at point A.<br />

A<br />

125 ft of 300 ohm transmission<br />

line with loss 3.0 dB/100 ft B TV set<br />

F=16 dB<br />

Figure P8–26<br />

8–27 An Earth station receiving system consists of a 20-dB gain antenna with T AR = 80 K, an RF<br />

amplifier with G a = 40 dB and T e = 30 K, and a down converter with T e = 15,000 K. What is the<br />

overall effective input-noise temperature of this receiving system?<br />

8–28 A low-noise amplifier (LNA), a down converter, and an IF amplifier are connected in cascade.<br />

The LNA has a gain of 40 dB and a T e of 25 K. The down converter has a noise figure of 8 dB and<br />

a conversion gain of 6 dB. The IF amplifier has a gain of 60 dB and a noise figure of 14 dB.<br />

Evaluate the overall effective input-noise temperature for this system.<br />

8–29 A geosynchronous satellite transmits 13.5 dBW EIRP on a 4-GHz downlink to an Earth station.<br />

The receiving system has a gain of 60 dB, an effective input-noise temperature of 30 K, an<br />

antenna source noise temperature of 60 K, and an IF bandwidth of 36 MHz. If the satellite<br />

is located 24,500 miles from the receiver, what is the (CN) dB at the input of the receiver<br />

detector circuit?<br />

★ 8–30 An antenna with T AR = 160 K is connected to a receiver by means of a waveguide that has a<br />

physical temperature of 290 K and a loss of 2 dB. The receiver has a noise bandwidth of 1 MHz,<br />

an effective input-noise temperature of 800 K, and a gain of 120 dB from its antenna input to its<br />

IF output. Using MATLAB find<br />

(a) The system noise temperature at the input of the receiver.<br />

(b) The overall noise figure.<br />

(c) The available noise power at the IF output.<br />

8–31 The Intelsat IV satellite uses 36-MHz transponders with downlinks operating in the 4-GHz band.<br />

Each satellite transponder has a power output of 3.5 W and may be used with a 17° global coverage<br />

antenna that has a gain of 20 dB.<br />

(a) For users located at the subsatellite point (i.e., directly below the satellite), show that (CN) dB =<br />

(G AR T syst ) dB - 17.1, where (G AR T syst ) dB is the Earth receiving station figure of merit.<br />

(b) Design a ground receiving station (block diagram) showing reasonable specifications<br />

for each block so that the IF output CNR will be 12 dB. Discuss the trade-offs that are<br />

involved.<br />

★ 8–32 The efficiency of a parabolic antenna is determined by the accuracy of the parabolic reflecting surface<br />

and other factors. The gain is G A = 4phAl 2 , where h is the antenna efficiency. In Table 8–4<br />

an efficiency of 56% was used to obtain the formula G A = 7Al 2 . In a ground receiving system for

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