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MC13110A Datasheet(PDF) 42 Page - Motorola, Inc |
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MC13110A Datasheet(HTML) 42 Page - Motorola, Inc |
42 / 68 page MC13110A/B MC13111A/B 42 MOTOROLA ANALOG IC DEVICE DATA the first LO may effect parameters like adjacent channel rejection and intermodulation. Figure 100 shows a loopfilter architecture incorporating an additional pole. From Phase Detector To VCO R2 C2 C1 Figure 100. Loop Filter with Additional Integrating Element C3 R3 For the additional pole formed by R3 and C3 to be efficient, the cut–off frequency must be much lower than the reference frequency. However, it must also be higher than wp in order not to compromise phase margin too much. The following equations were derived in a similar manner as for the basic filter previously described. Similarly, it can be shown: A openloop + – K pd Ko Knw2 (C1 ) C2 ) C3) –w2C1C2C3R2R3 ) 1 ) jwT2 1 ) jwT1 (16) In which: T1 + (C1 ) C2)T2 ) (C1C2)T3 C1 ) C2 ) C3 * w2C1T2T3 (17) T2 + R2C2 T3 + R3C3 (19) (18) From T1 it can be derived that: C2 + (T1 ) T2)C3 * C1 T2 ) T3 * T1 ) w2T1T2T3 T3 * T1 (20) In analogy with (10), by forcing the loopgain to 1 (0 dB) at wp, we obtain: C1 (T1 ) T2) ) C2T3 ) C3T2 + K pd Ko Knwp 2 1 ) wpT2 2 1 ) wpT1 2 (21) Solving for C1: C1 + (T2 * T1)T3C3 * (T3 * T1)T2C3 ) (T3 * T1) K pd KoT1 wp 2K n 1 ) wpT2 2 1 ) wpT1 2 (T3 * T1)T2 ) (T3 * T1)T3 * T2 ) T3 * T1 ) wp2T1T2T3 T3 (22) By selecting wp via (9), the additional time constant expressed as T3, can be set to: T3 + 1 Kwp (23) |
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