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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 />

Ring Modulator<br />

s M<br />

i<br />

i<br />

C<br />

2<br />

C<br />

2<br />

^↑Φ<br />

^↓Φ<br />

T / 2<br />

T / 2<br />

⎫<br />

⎪<br />

⎪<br />

⎬ΣΦ<br />

⎪<br />

⎪<br />

⎭<br />

C<br />

Φ C Φ<br />

=+ −<br />

2 2<br />

C<br />

! 0<br />

0<br />

f T<br />

3 f T<br />

5 f T f<br />

Fig. 7-2: The principle of the differential transformer<br />

Fig. 7-3: Dynamic characteristic and spectrum for the ring<br />

modulator<br />

lating signal alternates its flow through the output<br />

transformer. The transformers have to be suitable<br />

to process radio frequencies (RF). For that reason<br />

ferrite is used as the core material. Earlier ring<br />

modulators were manufactured exclusively with<br />

differential transformers. Today they are being<br />

overtaken more and more by ICs which operate<br />

without transformers. Fig. 7-3 shows the dynamic<br />

characteristic and the spectrum at the output of the<br />

ring modulator. The AF signal is cancelled out in<br />

the envelope of the modulated signal. Therefore,<br />

the line at f = f M is missing in the spectrum<br />

The following holds true for the spectrum of the<br />

ring modulator:<br />

4<br />

1<br />

1<br />

sAM t [cos 2π fCt cos 2π3fCt cos 2π5fCt<br />

π<br />

3<br />

5<br />

( ) = ( ) − ( ) + ( )<br />

−+ ...] A cos( 2π<br />

f t)<br />

M<br />

M<br />

2<br />

2<br />

= AM cos[ 2π<br />

( fC − fM ) t]+ AM cos 2π<br />

( fC + fM<br />

) t<br />

π<br />

π<br />

[ ]<br />

2<br />

2<br />

− AM cos[ 2π<br />

( 3fC − fM<br />

) t]−<br />

AM cos 2π ( 3 fC + fM<br />

) t<br />

3π<br />

3π<br />

+−<br />

[ ]<br />

(7-2)<br />

If you consider the spectrum of the ring modulator,<br />

it becomes clear that suitable filters have to be<br />

used to separate the wanted sidebands from the<br />

interfering sidebands.<br />

Questions<br />

7.1 What features does the ring modulator have?<br />

7.2 What circuit techniques and measures are<br />

additionally required, if you want to generate a<br />

narrow band AM signal with a balanced<br />

modulator?<br />

7.3 Which feature is common to all modulating<br />

components?<br />

48

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