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Problems 403<br />

v 3 (t) Low-pass<br />

filter<br />

v 5 (t) v 9 (t)<br />

1<br />

0-––<br />

2<br />

B Hz<br />

m(t)<br />

Modulation<br />

input<br />

–90°<br />

phase<br />

shift<br />

v 1 (t)<br />

Oscillator<br />

f 0 =––<br />

1<br />

B<br />

2<br />

Oscillator<br />

f 0 =f c +––<br />

1<br />

B<br />

2<br />

v 7 (t)<br />

–90°<br />

phase<br />

shift<br />

+<br />

+<br />

<br />

s(t)<br />

SSB<br />

output<br />

v 2 (t)<br />

v 8 (t)<br />

v 4 (t)<br />

Low-pass<br />

filter<br />

v 6 (t) v 10 (t)<br />

1<br />

0-––<br />

2<br />

B Hz<br />

Figure P5–15<br />

Weaver’s method for generating SSB.<br />

(c) Find the RMS value of the SSB signal.<br />

(d) Find the peak value of the SSB signal.<br />

(e) Find the normalized average power of the SSB signal.<br />

(f) Find the normalized PEP of the SSB signal.<br />

★ 5–17 An SSB-AM transmitter is modulated by a rectangular pulse such that m(t) = Π(tT) and A c = 1.<br />

(a) Prove that<br />

as given in Table A–7.<br />

(b) Find an expression for the SSB-AM signal s(t), and sketch s(t).<br />

(c) Find the peak value of s(t).<br />

5–18 For Prob. 5–17,<br />

(a) Find the expression for the spectrum of a USSB-AM signal.<br />

(b) Sketch the magnitude spectrum, |S(f)|.<br />

★ 5–19 A USSB transmitter is modulated with the pulse<br />

(a) Prove that<br />

mN (t) = 1 p<br />

m(t) =<br />

ln`<br />

2t + T<br />

2t - T `<br />

sin pat<br />

pat<br />

mN (t) = sin 2 [(pa>2)t]<br />

(pa>2)t

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