mc13176d ETC-unknow, mc13176d Datasheet - Page 7

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mc13176d

Manufacturer Part Number
mc13176d
Description
Fm/am Transmitter
Manufacturer
ETC-unknow
Datasheet

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0
Loop Filtering
range, loop bandwidth, lock–up time and transient response
are controlled externally by loop filtering.
important in the transient response to a step input of phase or
frequency. For a given and lock time, n can be determined
from the plot shown in Figure 12.
MOTOROLA RF/IF DEVICE DATA
1.9
1.8
1.7
1.6
1.5
1.4
1.3
1.2
1.1
1.0
0.9
0.8
0.7
0.6
0.5
0.4
0.3
0.2
0.1
The fundamental loop characteristics, such as capture
The natural frequency ( n ) and damping factor ( ) are
0
0
f i = f ref
Figure 12. Type 2 Second Order Response
1.0 2.0 3.0 4.0 5.0 6.0 7.0 8.0 9.0
Pins 9,8
i(s)
= 0.1
0.7
0.2
0.4
0.3
0.5
0.6
0.8
f n = f o /N
1.0
N = 32 : MC13176
1.5
N = 8 : MC13175
K p = 30 A/rad
2.0
Detector
K n = 1/N
Divider
Phase
nt
n(s) = o(s )/N
Figure 11. Block Diagram of MC1317XD PLL
Pin 7
o(s)
e(s )
10
K o = 0.91Mrad/sec/ A
Current Controlled
f o = nf i
MC13175 MC13176
11
Amplifier and
Low Pass
Oscillator
Filter
K f
12 13
Pins 13,14
Pin 6
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/s 2 ). In the lag–lead low pass network shown in Figure
13, the values of the low pass filtering parameters R 1 , R 2
and C determine the loop constants
equations t 1 = R 1 C and t 2 = R 2 C are related in the loop filter
transfer functions F(s) = 1 + t 2 s/1 + (t 1 + t 2 )s.
The closed loop transfer function takes the form of a 2nd
order low pass filter given by,
From control theory, if the loop filter characteristic has F(0) =
1, the DC gain of the closed loop, K v is defined as,
and the transfer function has a natural frequency,
and a damping factor,
Rewriting the above equations and solving for the MC13176
with
The loop filter may take the form of a simple low pass
For
then n = 5.0/t = 5.0 krad/sec.
H(s) = K v F(s)/s + K v F(s)
K v = K p K o K n
K v = K p K o K n = (30) (0.91
t 1 + t 2 = K v / n 2 = 0.853
t 2 = 2 / n = (2) (0.707)/(5
t 1 = (K v / n 2) – t 2 = (34.1 – 0.283) = 33.8 ms
n = (K v /t 1 + t 2 ) 1/2
= ( n /2) (t 2 + 1/K v )
= 0.707 and n = 5.0 k rad/sec:
Where:
V in
Figure 13. Lag–Lead Low Pass Filter
= 0.707 and lock time = 1.0 ms;
K p
K f
K n
K o
K o
= Phase detector gain constant in
=
= Filter transfer function
= 1/N; N = 8 for the MC13175 and
= 1/N;
= CCO gain constant in rad/sec/ A
= 9.1 x 10 5 rad/sec/ A
A/rad; K p = 30 A/rad
R 1
N = 32 for the MC13176


R 2

C
10 6 /(25
10 6 ) (1/32) = 0.853
10 3 ) = 0.283 ms

106) = 34.1 ms
V O
n and

. The
10 6
7