
AN1207
2
MOTOROLA
Figure 3. HF Synthesizer
4.6 MHz
1 – 2 V p–p
SOURCE
MCU
MC145170
MC1658
A
B
1 M
+ 5 V
+ 5 V
+ 5 V
1 M
0.01 
μ
F
0.01 
μ
F
0.01
μ
F
0.01 
μ
F
0.01 
μ
F
47 pF
0.01 
μ
F
0.01 
μ
F
1 M
0.01 
μ
F
1 
μ
F
MC74HCU04
MC74HCU04
510 
2N7002
VCM
PLL
FREQUENCY
1
FILTER
1.5 k
BIAS
R2
R1
C
1.8 M
PDout
DATA IN
ENABLE
CLOCK
8
9
16
1
8
9
16
LOW–PASS FILTER
BUFFER/FILTER
PULLDOWN
OUTPUT
In order to calculate the average divide value for the N
Counter, follow this procedure. First, determine the average
frequency; this is (12.19 + 9.2)/2 = 10.695 MHz or approxi-
mately 10.7 MHz. Next, divide this frequency by the resolu-
tion: 10.7 MHz/230 kHz = about 47.
Next, reference application note AN535 (see book
DL136/D Rev 3 or 4). The active filter chosen takes the form
shown in Figure 9 of the application note. This filter is used
with the single–ended phase detector output of the
MC145170, PDout. The phase detector associated with PDout
has a gain K
φ
 = VDD/4
π
. For a supply of 5 V, this is 5/4
π
 =
0.398 V/rad. The system’s step response is shown in Figure
4. To achieve about 15% overshoot, a damping factor of 0.8
is used. This causes frequency to settle to within 1% at 
ω
nt
= 5.5.
The information up to this point is as follows.
fref = 230 kHz
fVCM = 9.2 to 12.19 MHz; the average is 10.7 MHz,
average N = 47
power supply = 5 V for the phase detector
KVCM = 1 x 108 rad/s/V
overshoot = approximately 15%, yields a damping
factor = 0.8
lock time t = 8 ms settling to within 1%, 
ω
nt = 5.5
K
φ
 or Kp = 0.398 V/rad.
From the application note, equation 61, 
ω
n = 5.5/t =
5.5/0.008 = 687.5 rad/s.
Equation 59 is  R1C = (Kp Kv)/
ω
n2 N
= (0.398 x 1 x 108)/687.52 x 47
= 1.79
Equation 59 is used because of the high–gain FET.
Next, the capacitor C is picked to be 1 
μ
F. Therefore,
R1 = 1.79/C which is 1.79 M
. The standard value of 1.8 M
is used for R1.
Equation 63 is R2
= (2
ζ
)/C 
ω
n
= (2 x 0.8)/(1 x 10–6 x 687.5)
= 2.33 k
.
A standard value for R2 of 2.4 k
 is utilized.
Figure 4. Type 2 Second Order Step Response
0
2.0
5.0
4.0
3.0
1.0
6.0 7.0 8.0 9.0 10
ω
nt
11
12
13
14
0.3
0.4
0.5
0.6
0.7
0.8
1.0
2.0
1.8
1.7
1.6
1.5
1.4
1.3
1.2
1.0
1.1
0.9
0.8
0.7
0.6
0.5
0.4
0.3
0.2
0.1
0
0.2
ζ = 
0.1
(
o
θ
HF SYNTHESIZER PROGRAMMING
Programming the MC145170 is straightforward. The three
registers may be programmed in a byte–oriented fashion.
The registers retain their values as long as power is applied.
Thus, usually both the C and R Registers are programmed
just once, right after power up.
F
Freescale Semiconductor, Inc.
For More Information On This Product,
  Go to: www.freescale.com
n
.
ARCHIVED BY FREESCALE SEMICONDUCTOR, INC. 2005
A