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B. P. Lathi, Zhi Ding - Modern Digital and Analog Communication Systems-Oxford University Press (2009)

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4.4 Bandwidth-Efficient Amplitude Modulations

163

Fi g ure 4. 16

SS B spectra for

tone modulation.

(a)

(

h)

t

i t

-Uc + fm) - fc -Uc - fm)

-fm O fm

1-

I

DSB sp m Wm

t t

I

0 Uc - fm) f Uc + fm)

1-

(c)

t

I

0

USB speco,,m

t

Uc + fm)

1-

(d)

t

-Uc - fm)

0 Uc -fm) J-

Finally, the coherent demodulation of the SSB tone modulation is can be achieved by

cpsss (t)2 cos W e t= 2cos (ev e ± W m )tcos W e t

= COS W m t + COS (we + W m )t

which can be sent to a lowpass filter to retrieve the message tone cos W m t.

SSB Modulation Systems

Three methods are commonly used to generate SSB signals: phase shifting, selective filtering,

and the Weaver method. 1 None of these modulation methods are precise, and all generally

require that the baseband signal spectrum have little power near the origin.

The phase shift method directly uses Eq. ( 4.20) as its basis. Figure 4.17 shows its implementation.

The box marked "-n /2" is a phase shifter, which delays the phase of every positive

spectral component by n /2. Hence, it is a Hilbert transformer. Note that an ideal Hilbert phase

shifter is unrealizable. This is because the Hilbert phase shifter requires an abrupt phase change

of n at zero frequency. When the message m(t) has a de null and very little low-frequency

content, the practical approximation of this ideal phase shifter has almost no real effect and

does not affect the accuracy of SSB modulation.

In the selective-filtering method, the most commonly used method of generating SSB

signals, a DSB-SC signal is passed through a sharp cutoff filter to eliminate the undesired sideband.

To obtain the USB, the filter should pass all components above frequency le unattenuated

and completely suppress all components below l e - Such an operation requires an ideal filter,

which is unrealizable. It can, however, be approximated closely if there is some separation

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