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Sec. 5–5 Asymmetric Sideband Signals 327<br />

Baseband processing<br />

m(t)<br />

m(t)<br />

Modulation<br />

input<br />

90° phase<br />

shift across<br />

band of m(t)<br />

^<br />

m(t)<br />

<br />

<br />

<br />

s (t)<br />

SSB signal<br />

Oscillator<br />

f=f c<br />

90° phase<br />

shift<br />

at f=f c<br />

A c sin( c t)<br />

(a) Phasing Method<br />

A c cos( c t)<br />

m(t)<br />

Modulation<br />

input<br />

A c cos( c t)<br />

Sideband filter (bandpass<br />

filter on either<br />

upper or lower<br />

sideband)<br />

s(t)<br />

SSB signal<br />

Oscillator<br />

f=f c<br />

(b) Filter Method<br />

Figure 5–5<br />

Generation of SSB.<br />

This is described by Fig. P5–15 and Prob. P5–15. A practical SSB transmitter incorporates an<br />

up converter to translate the SSB signal to the desired operating frequency and uses a Class B<br />

amplifier to amplify the signal to the desired power level.<br />

SSB signals have both AM and PM. Using Eq. (5–15), we have, for the AM component<br />

(real envelope),<br />

R(t) = |g(t)| = A c 3m 2 (t) + [mN (t)] 2<br />

(5–27)<br />

and for the PM component,<br />

u(t) = lg(t)<br />

= tan -1 c ; mN(t) d<br />

m(t)<br />

(5–28)<br />

SSB signals may be received by using a superheterodyne receiver that incorporates a<br />

product detector with u 0 = 0. Thus, the receiver output is<br />

v out (t) = K Re{g(t)e -ju 0<br />

} = KA c m(t)<br />

(5–29)

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