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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 />

because high signal frequencies lie in the<br />

modulation spectrum at low frequencies.<br />

Basically the following applies: The upper<br />

sideband is in the normal position, the lower<br />

sideband is in the inverted position.<br />

The modulation index m amounts to approx. 60%.<br />

Calculate the transmission bandwidths in DSB<br />

based on the spectra. For f M = 2 kHz:<br />

b = (22 – 18) kHz = 4 kHz = 2 · f M<br />

.<br />

For f M = 3 kHz:<br />

b = (23 – 17) kHz = 6 kHz = 2 · f M<br />

.<br />

In general:<br />

b = 2 f Mmax<br />

(3-9)<br />

5.2.3 The AM spectrum for modulation with a<br />

square-wave signal<br />

5.2.2 DSB SC<br />

Signal parameter Analyzer settings<br />

Table 5.2.2-1: DSB SC spectrum<br />

Signal parameter Analyzer settings<br />

A C : 2.0 V V 1 : 2<br />

f C : 20.0 kHz b : 100 Hz<br />

f r : 50 kHz<br />

A M : 2.0 V T : 40 s<br />

f M : 2 kHz<br />

V 2<br />

f<br />

KHz<br />

Measurement<br />

S( n)<br />

Name<br />

V<br />

S AM (n)<br />

V<br />

Theory<br />

S AM (n)<br />

2 18.00 LSL 4.5 1.1 1.00<br />

2 ____ ____ ____ ____ _____<br />

2 22.01 USL 4.5 1.1 1.00<br />

V<br />

V 2<br />

Table 5.2.3-1: AM spectrum for<br />

square-wave modulation<br />

A C : 2 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 />

f<br />

KHz<br />

Measurement<br />

Name<br />

S( n)<br />

5 10 LSL 3 3.2 0.32<br />

5 14 LSL 2 5,0 0.50<br />

2 18 LSL 1 5.6 1.40<br />

2 20 carrier 8.4 2.10<br />

2 22 USL 1<br />

5.5 1.38<br />

5 26 USL 2<br />

4.6 0.46<br />

5 30 USL 3 2.7 0.27<br />

5 34 USL 4 2.0 0.20<br />

V<br />

S AM (n)<br />

V<br />

Theory<br />

S AM (n)<br />

V<br />

Diagram 5.2.2-1: DSB SC<br />

spectrum<br />

Diagram 5.2.3-1: AM spectrum for square-wave modulation<br />

55

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