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360<br />

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

Oscillator<br />

Frequency=f 1<br />

Electronic<br />

switch<br />

Oscillator<br />

Frequency=f 2<br />

FSK<br />

output<br />

Binary data input<br />

m(t)<br />

Control<br />

line<br />

(a) Discontinuous-Phase FSK<br />

Binary data input<br />

m(t)<br />

Frequency<br />

modulator<br />

(carrier<br />

frequency=f c )<br />

FSK<br />

output<br />

(b) Continuous-Phase FSK<br />

Figure 5–23<br />

Generation of FSK.<br />

Since FSK transmitters are not usually built this way, we will turn to the second type, shown<br />

in Fig. 5–23b.<br />

The continuous-phase FSK signal is generated by feeding the data signal into a frequency<br />

modulator, as shown in Fig. 5–23b. This FSK signal is represented (see Sec. 5–6) by<br />

or<br />

where<br />

t<br />

s(t) = A c cos cv c t + D f m(l) dl d<br />

L<br />

s(t) = Re{g(t)e jv ct }<br />

g(t) = A c e ju(t)<br />

t<br />

u(t) = D f m(l) dl for FSK<br />

L<br />

-q<br />

(5–81a)<br />

(5–81b)<br />

(5–81c)<br />

and m(t) is a baseband digital signal. Although m(t) is discontinuous at the switching time, the<br />

phase function u(t) is continuous because u(t) is proportional to the integral of m(t). If the<br />

serial data input waveform is binary, such as a polar baseband signal, the resulting FSK signal<br />

-q

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