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408<br />

AM, FM, and Digital Modulated Systems Chap. 5<br />

Volts<br />

10<br />

m(t)<br />

5<br />

–5<br />

–10<br />

1 m sec<br />

t<br />

Figure P5–48<br />

★ 5-49 A periodic multilevel digital test signal as shown in Fig. P5–49 modulates a WBFM transmitter.<br />

Evaluate and sketch the approximate power spectrum of this WBFM signal if A c = 5, f c = 2 GHz,<br />

and D f = 10 5 .<br />

Volts<br />

T<br />

5<br />

3<br />

1<br />

1<br />

3<br />

5<br />

m(t)<br />

1 2 3 4 5 6 7 8<br />

t (msec)<br />

Figure P5–49<br />

5–50 Refer to Fig. 5–16b, which displays the circuit diagram for a commonly used preemphasis filter<br />

network.<br />

(a) Show that f 1 = 1(2pR 1 C).<br />

(b) Show that f 2 = (R 1 + R 2 )(2pR 1 R 2 C) ≈ 1(2pR 2 C).<br />

(c) Evaluate K in terms of R 1 , R 2 , and C.<br />

5–51 The composite baseband signal for FM stereo transmission is given by<br />

m b (t) = [m L (t) + m R (t)] + [m L (t) - m R (t)] cos (v sc t) + K cos ( 1 2 v sct)<br />

A stereo FM receiver that uses a switching type of demultiplexer to recover m L (t) and m R (t) is<br />

shown in Fig. P5–51.<br />

(a) Determine the switching waveforms at points C and D that activate the analog switches. Be<br />

sure to specify the correct phasing for each one. Sketch these waveforms.<br />

(b) Draw a more detailed block diagram showing the blocks inside the PLL.<br />

(c) Write equations for the waveforms at points A through F, and explain how this circuit works<br />

by sketching typical waveforms at each of these points.

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