T 7.2.1.3 Amplitude Modulation
T 7.2.1.3 Amplitude Modulation
T 7.2.1.3 Amplitude Modulation
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TPS <strong>7.2.1.3</strong><br />
Solutions<br />
7 The ring modulator<br />
Answers<br />
7.1 The ring modulator provides an AM signal<br />
with carrier suppression. The line of the<br />
modulating signal is missing in the output<br />
spectrum for f = f M .<br />
7.2 In balanced modulators frequency-periodic<br />
modulation spectra are produced.<br />
Consequentily the wanted bands have to be<br />
filtered out, i.e. the interfering sidebands<br />
have to be suppressed for the sake of a narrow<br />
transmission bandwidth.<br />
7.3 All of the circuits which have been used for<br />
modulation have one feature in common: a<br />
non-linear characteristic. This is true in particular<br />
for the mixer, multiplier, ring modulators<br />
etc. A switch can be seen as a very<br />
extreme case, its characteristic has abrupt<br />
step changes.<br />
Experiment results<br />
Diagram 7.1-2: Dynamic characteristic of modulating signal<br />
and modulated signal (CARRIER ON)<br />
(1): modulating signal s M<br />
(t)<br />
(2): modulated signal<br />
7.2 Spectrum at the output of the ring modulator<br />
Table 7.2-1: Spectrum of the ring modulator<br />
Signal parameter<br />
Analyzer settings<br />
A C : V V 1 : 2<br />
f C : 20.0 kHz b : 100 Hz<br />
f r : 50 kHz<br />
A M : 2 V T : 40 s<br />
f M : 2 kHz<br />
Measurement<br />
Theory<br />
V 2<br />
f<br />
KHz<br />
Name<br />
S( n)<br />
V<br />
S AM (n)<br />
V<br />
S AM (n)<br />
V<br />
2 18 LSL2 5.20 1.30<br />
2 22 LSL1 5.30 1.32<br />
Diagram 7.1-1: Dynamic characteristic of modulating signal<br />
and modulated signal (CARRIER OFF)<br />
(1): modulating signal s M<br />
(t)<br />
(2): modulated signal<br />
2 58 USL1 1.60 0.4<br />
2 62 USL2 1.70 0.43<br />
The modulation product has a certain similarity to<br />
the PAM signal for the special case of a symmetrical<br />
duty cycle t/T P = 50%.<br />
Diagram 7.2-1: Spectrum of the ring modulator<br />
62