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MC13110A Datasheet(PDF) 43 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) 43 Page - Motorola, Inc

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MC13110A/B MC13111A/B
43
MOTOROLA ANALOG IC DEVICE DATA
The K–factor shown determines how far the additional
pole frequency will be separated from wp. Selecting too small
of a K–factor, the equations may provide negative
capacitance or resistor values. Too large of a K–factor may
not provide the maximum attenuation.
By selecting R3 to be 100 k
Ω, C3 becomes known and C1
and C2 can be solved from the equations. By using equations
(8) and (7), time constants T2 and T1 can be derived by
selecting a phase margin. Finally, R2 follows from T2 and C2.
The following pages, the loopfilter components are
determined for both handset and baseset the US application
based on the equations described. Choose K to be
approximately five times wp (5.0wp).
In an application, wp is chosen to be 20 times less than the
reference frequency of 5.0 kHz and the phase margin has
been set to 45 degrees. This provides a lock time according
to (9) of about 2.0 ms (order of magnitude). With the adjacent
channels spaced at least 15 kHz away, reference
feedthrough at wp will not be directly disastrous but still, the
additional pole may be added in the loopfilter design for
added safety.
In an application, wp is chosen to be 20 times less than the
reference frequency of 5.0 kHz and the phase margin has
been set to 45 degrees. This provides a lock time according
to (9) of about 2.0 ms (order of magnitude). With the adjacent
channels spaced at least 15 kHz away, reference
feedthrough at wp will not be directly disastrous but still, the
additional pole may be added in the loopfilter design for
added safety.
Figure 101. Open Loop Response Handset US
with Selected Values
f, FREQUENCY (Hz)
Phase
Margin
100
1000
10000
100000
1000000
–80
–40
0
40
80
0
20
40
60
80
Loop
Gain
From
Phase
Detector
To VCO
22 k
.068
6800
1000
100 k
Figure 102. Open Loop Response Baseset US
with Selected Values
From
Phase
Detector
To VCO
18 k
.082
8200
1000
100 k
f, FREQUENCY (Hz)
Phase
Margin
100
1000
10000
100000
1000000
–80
–40
0
40
80
0
20
40
60
80
Loop
Gain
Figure 103. Handset US
Conditions
L = 470 uH
Fref = 5.0 kHz
RF = 46.77 MHz
Qp = 45 degrees
VCO center = 36.075 MHz
wp = wref / 20 radians
Results
Equations
Select
Kpd = 159.2 uA/rad
KVCO = 3.56 Mrad/V
(14), (15)
T2 = 1540
µs
(8)
T1 = 264
µs
(7)
T3 = 91
µs
with K = 7
C1 = 7.6 nF
(21)
C1 = 6.8 nF
C2 = 70.9 nF
(20)
C2 = 68 nF
R2 = 21.7 k
(18)
R2 = 22 k
R3 = 100 k
choose:
R3 = 100 k
C3 = 909.5 pF
(19)
C3 = 1 nf
Figure 104. Baseset US
Conditions
L = 470 uH
Fref = 5.0 kHz
RF = 49.83 MHz
Qp = 45 degrees
VCO center = 39.135 MHz
wp = wref / 20 radians
Results
Equations
Select
Kpd = 159.2 uA/rad
KVCO = 4.54 Mrad/V
(14), (15)
T2 = 1540
µs
(8)
T1 = 264
µs
(7)
T3 = 91
µs
with K = 7
C1 = 9.1 nF
(21)
C1 = 8.2 nF
C2 = 83.5 nF
(20)
C2 = 82 nF
R2 = 18.4 k
(18)
R2 = 18 k
R3 = 100 k
choose:
R3 = 100 k
C3 = 909.5 pF
(19)
C3 = 1 nf


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