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MC13175D Datasheet(PDF) 8 Page - Motorola, Inc

No. de pieza MC13175D
Descripción Electrónicos  UHF FM/AM TRANSMITTER
Download  17 Pages
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Fabricante Electrónico  MOTOROLA [Motorola, Inc]
Página de inicio  http://www.freescale.com
Logo MOTOROLA - Motorola, Inc

MC13175D Datasheet(HTML) 8 Page - Motorola, Inc

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MC13175 MC13176
8
MOTOROLA RF/IF DEVICE DATA
Figure 11. Block Diagram of MC1317XD PLL
fo = nfi
N = 8 : MC13175
N = 32 : MC13176
Kn = 1/N
Divider
θo(s)
Pins 13,14
Ko = 0.91Mrad/sec/µA
Amplifier and
Current Controlled
Oscillator
Pin 6
Low Pass
Filter
Kf
θn(s) = θo(s)/N
Pin 7
θe(s)
Kp = 30 µA/rad
Phase
Detector
fn = fo/N
Pins 9,8
fi = f ref
θi(s)
Kp
Kf
Kn
Ko
Ko
= Phase detector gain constant in
=
µA/rad; Kp = 30 µA/rad
= Filter transfer function
= 1/N; N = 8 for the MC13175 and
= 1/N; N = 32 for the MC13176
= CCO gain constant in rad/sec/
µA
= 9.1 x 105 rad/sec/
µA
Where:
Loop Filtering
The fundamental loop characteristics, such as capture
range, loop bandwidth, lock–up time and transient response
are controlled externally by loop filtering.
The natural frequency (
ωn) and damping factor (∂) are
important in the transient response to a step input of phase or
frequency. For a given
∂ and lock time, ωn can be determined
from the plot shown in Figure 12.
Figure 12. Type 2 Second Order Response
0
ωnt
1.0
2.0 3.0
4.0 5.0 6.0
7.0
8.0 9.0
10
11
12 13
0.8
1.9
0.4
0.6
0.7
0.2
0.3
0.5
1.5
2.0
ζ = 0.1
1.0
0.8
0
0.1
0.2
0.3
0.4
0.5
0.6
0.7
0.9
1.0
1.1
1.2
1.3
1.4
1.5
1.6
1.7
1.8
For
∂ = 0.707 and lock time = 1.0 ms;
then
ωn = 5.0/t = 5.0 krad/sec.
The loop filter may take the form of a simple low pass
filter or a lag–lead filter which creates an additional pole at
origin in the loop transfer function. This additional pole
along with that of the CCO provides two pure integrators
(1/s2). In the lag–lead low pass network shown in Figure
13, the values of the low pass filtering parameters R1, R2
and C determine the loop constants
ωn and ∂. The
equations t1 = R1C and t2 = R2C are related in the loop filter
transfer functions F(s) = 1 + t2s/1 + (t1 + t2)s.
Figure 13. Lag–Lead Low Pass Filter
VO
C
R2
R1
Vin
The closed loop transfer function takes the form of a 2nd
order low pass filter given by,
H(s) = KvF(s)/s + KvF(s)
From control theory, if the loop filter characteristic has F(0) =
1, the DC gain of the closed loop, Kv is defined as,
Kv = KpKoKn
and the transfer function has a natural frequency,
ωn = (Kv/t1 + t2)1/2
and a damping factor,
∂ = (ωn/2) (t2 + 1/Kv)
Rewriting the above equations and solving for the MC13176
with
∂ = 0.707 and ωn = 5.0 k rad/sec:
Kv = KpKoKn = (30) (0.91  106) (1/32) = 0.853  106
t1 + t2 = Kv/ωn2 = 0.853  106/(25  106) = 34.1 ms
t2 = 2∂/ωn = (2) (0.707)/(5  103) = 0.283 ms
t1 = (Kv/ωn2) – t2= (34.1 – 0.283) = 33.8 ms


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