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MC13110A Datasheet(PDF) 42 Page - Motorola, Inc

Part # MC13110A
Description  UNIVERSAL CORDLESS TELEPHONE SUBSYSTEM IC
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Manufacturer  MOTOROLA [Motorola, Inc]
Direct Link  http://www.freescale.com
Logo MOTOROLA - Motorola, Inc

MC13110A Datasheet(HTML) 42 Page - Motorola, Inc

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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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