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Agilent Technologies E8267C PSG Manual de usuario Pagina 10

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Figure 8. Generating multitone signals using an I/Q modulator
1
.
Notice that when a modulating waveform is fed to the in-phase (I) path and zero is fed
to the quadrature (Q) path, (Figure 8a), two tones are created symmetrically around the
carrier. This is commonly referred to as double sideband suppressed carrier amplitude
modulation (DSBSC-AM). Taking this a step further, Figures 8b and 8c show how a single
tone can be created. To generate discrete tones with full control over individual tone
parameters (i.e. amplitude, phase, and frequency), modulating waveforms are fed to both
the I and the Q path. Depending on the sign of the modulating waveform on the Q path,
the tone will appear above (Figure 8b) or below (Figure 8c) the carrier frequency. This
concept can be extended to generate multitone waveforms if additional frequency
components are added to the modulating waveforms on both the I and Q paths.
1. The following trigonometric identities were
used to determine the composite signal
s(t): 2cos(x)cos(y) = cos(x-y) + cos(x+y) and
2sin(x)sin(y) = cos(x-y) – cos(x+y).
x
a
(t) = cos(w
o
t)
Σ
-90°
y
a
(t) = 0
Mixer
Mixer
I
Q
s
a
(t) = cos(w
c
t) cos(w
o
t)
cos(w
c
t)
sin(w
c
t)
=
1
/
2
[cos(w
c
- w
o
)t + cos(w
c
+ w
o
)t]
x
b
(t) = cos(w
o
t)
Σ
-90°
y
b
(t) = –sin(w
o
t)
Mixer
Mixer
I
Q
s
b
(t) = cos(w
c
t) cos(w
o
t) - sin(w
c
t) sin(w
o
t)
cos(w
c
t)
sin(w
c
t)
= cos(w
c
+ w
o
)t
x
c
(t) = cos(w
o
t)
Σ
-90°
y
c
(t) = +sin(w
o
t)
Mixer
Mixer
I
Q
s
c
(t) = cos(w
c
t) cos(w
o
t) + sin(w
c
t) sin(w
o
t)
cos(w
c
t)
sin(w
c
t)
= cos(w
c
- w
o
)t
(f
c
-f
o
) f
c
(f
c
+f
o
) frequency
|s
a
(f)|
(f
c
-f
o
) f
c
(f
c
+f
o
) frequency
|s
b
(f)|
(f
c
-f
o
) f
c
frequency
|s
c
(f)|
(8a)
(8b)
(8c)
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