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ML13175 Datenblatt(PDF) 7 Page - LANSDALE Semiconductor Inc.

Teilenummer ML13175
Bauteilbeschribung  UHF FM/AM Transmitter
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Hersteller  LANSDALE [LANSDALE Semiconductor Inc.]
Direct Link  http://www.lansdale.com
Logo LANSDALE - LANSDALE Semiconductor Inc.

ML13175 Datenblatt(HTML) 7 Page - LANSDALE Semiconductor Inc.

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Figure 11. Block Diagram of ML1317x PLL
fo = nfi
N = 8 : ML13175
N = 32 : ML13176
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:
LANSDALE Semiconductor, Inc.
ML13175/ML13176
LOOP FILTERING
The fundamental loop characteristics, such as capture range,
loop bandwidth, lock–up time and transient response are con-
trolled externally by loop filtering.
The natural frequency (ωn) and damping factor (L ) are
important in the transient response to a step input of phase or
frequency. For a given
L and lock time wn can be determined
from the plot shown in Figure 12.
For
L = 0.707 and lock time = 1.0 ms;
then ω = 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/s
2). 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 L. The equations t1=R1 C and t2=R2C
are related in the loop filter transfer functions
F(s) = 1 +
t2s/1 + (t1 +t2)s.
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 dampning factor,
L = (ωn/2) (t2 + 1Kv)
Rewriting the above equations and solving for the ML13176
with L = 0.707 and ωn = 5.0 k rad/sec.
Kv = KpKoKn = (30) (0.91 X 10
6)(1/32) = 0.853 X 106
t1 + t2 = Kv/ωn2 = 0.853 X 10
6/(25 X 106) = 34.1 ms
t2 = 2L /ωn = (2)(0.707)/(5 X 10
3) = 0.283 ms
t1 = (Kv/ωn2) –t2=(34.1–0.283) = 33.8 ms
Legacy Applications Information
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
Figure 13. Lag–Lead Low Pass Filter
VO
C
R2
R1
Vin
www.lansdale.com
Page 7 of 16
Issue c


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