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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

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