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The MC145170 in Basic HF and VHF Oscillators - LANSDALE ...

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20 pF<br />

1 MHz<br />

Y1<br />

1 MΩ<br />

1 16<br />

<strong>MC145170</strong><br />

+ 5 V<br />

4 x 5.6 kΩ<br />

2 x 1500 pF<br />

R1/2<br />

R1/2<br />

CC<br />

R1/2 R1/2<br />

CC<br />

24 kΩ 4700 pF<br />

+ 12 V<br />

–<br />

LF351<br />

+<br />

24 kΩ<br />

20 pF 100 pF<br />

8 9<br />

1 kΩ<br />

4700 pF<br />

OUTPUT<br />

DATA OUT<br />

CLK<br />

EN<br />

DATA IN<br />

TEST POINT<br />

(LOCK DETECT)<br />

+ 5 V<br />

+ 5 V<br />

1<br />

14<br />

20 nH<br />

2 x MV2115<br />

R14<br />

10 kΩ<br />

MC1648<br />

1000 pF<br />

7 8<br />

0.1 µF 390 pF<br />

C5<br />

Figure 5. V<strong>HF</strong> Synthesizer<br />

midpo<strong>in</strong>ts to ground to further filter the reference sideb<strong>and</strong>s.<br />

<strong>The</strong> value of CC is chosen so that the corner frequency of this<br />

added network does not significantly affect the orig<strong>in</strong>al loop<br />

b<strong>and</strong>width ωB.<br />

<strong>The</strong> rule of thumb for an <strong>in</strong>itial value is CC = 4 / ( R1 ωRC),<br />

where ωRC is the filter cutoff frequency. A good value is to<br />

choose ωRC to be 10 x ωB, so as to not significantly impact the<br />

orig<strong>in</strong>al filter.<br />

ωB = ωn 1 + 2ζ2 + 2 + 4ζ2 + 4ζ4 (8)<br />

= 12,566 1+(2)(0.707)2+ 2+(4)(0.707)2+ (4)(0.707)4<br />

= 25,860 rad/s<br />

ωRC = 10 ωB = (10)(25,860) = 258,600 rad/s<br />

4<br />

4<br />

CC = =<br />

R1ωRC (11.23 kΩ)(258,600 rad/s)<br />

= 1377 pF ≈ 1500 pF<br />

(9)<br />

(10)<br />

<strong>The</strong>re is also a filter formed at the <strong>in</strong>put to the VCO. Aga<strong>in</strong>,<br />

this should be selected to ensure that it does not significantly<br />

affect the loop b<strong>and</strong>width. For this example, the filter is dom<strong>in</strong>ated<br />

by R14 with C5. <strong>The</strong> capacitance of the varactors (<strong>in</strong><br />

series with the rest of the circuit) is much smaller than C5 <strong>and</strong><br />

can therefore be neglected for this calculation.<br />

As above, let ωRC = 258,600 rad/s be the cutoff of this filter.<br />

R14 is chosen to be 10 kΩ. <strong>The</strong>refore,<br />

1<br />

1<br />

C5 = =<br />

ωRCR14 (258,600)(10 kΩ)<br />

= 387 pF ≈ 390 pF<br />

THE VARACTOR<br />

(11)<br />

<strong>The</strong> MV2115 was selected for its tun<strong>in</strong>g ratio of 2.6 to 1.<br />

<strong>The</strong> capacitance can be changed from 49.1 pF to 127.7 pF<br />

over a reverse bias sw<strong>in</strong>g of 2 to 30 volts. Contact your Motorola<br />

representative for <strong>in</strong>formation regard<strong>in</strong>g the MV2115 varactor<br />

diode.<br />

For example, three parameters are considered.<br />

CT = Nom<strong>in</strong>al capacitance<br />

CR = Capacitance ratio<br />

fR = Frequency ratio<br />

CR= C vm<strong>in</strong><br />

=<br />

Cvmax<br />

where ρ = the capacitance exponent<br />

Vmax<br />

Vm<strong>in</strong><br />

ρ<br />

(12)<br />

AN1207<br />

4<br />

MOTOROLA

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