A bandpass signal, xc(t), is a signal whose one-sided energy
spectrum is both:
1) centered at a non-zero frequency, fC, and 2) does not extend
in frequency to zero (DC).
The two sided transmission bandwidth of a signal is typically
denoted by BT Hertz so that
the one-sided spectrum of the bandpass signal is zero except in
[fC − BT /2,fC + BT /2]. This
implies that a bandpass signal satisfies the following
constraint: BT /2 < fC. Fig. 1.1 shows a
typical bandpass spectrum. Since a bandpass signal, xc(t), is a
physically realizable signal it is
real valued and consequently the energy spectrum will always be
symmetric around f = 0. The
relative sizes of BT and fC are not important, only that the
spectrum takes negligible values
around DC. In telephone modem communications this region of
negligible spectral values is only
about 300Hz while in satellite communications it can be many
Gigahertz.