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242<br />

TABLE 4–1<br />

COMPLEX ENVELOPE FUNCTIONS FOR VARIOUS TYPES OF MODULATION a<br />

Corresponding Quadrature Modulation<br />

Type of<br />

Mapping Functions<br />

Modulation g(m) x(t) y(t)<br />

AM A c [1+m(t2] A c [1 + m(t2] 0<br />

DSB-SC A c m(t2 A c m(t2 0<br />

PM A c e jDpm (t )<br />

A c cos[D p m(t2] A c sin[D p m(t2]<br />

t<br />

t<br />

1<br />

FM A t<br />

- q m(s) ds<br />

c e jD f<br />

A c coscD f m(s) ds d<br />

A c sin cD f m(s2ds d<br />

L L<br />

SSB-AM-SC b A c [m(t2 —j Nm (t2] A c m(t2 ;A c mˆ (t2<br />

SSB-PM b A c A c cos [D p m(t2] A c sin [D p m(t2]<br />

e jD p[m (t);jmN (t)]<br />

t<br />

t<br />

SSB-FM b A 1 t<br />

c A c e < D t<br />

- q [m(s);j Nm(s)]<br />

e jD f<br />

ds<br />

mn (s)ds cos cD A c e

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