
Data Sheet
August 1999
LG1600FXH Clock and Data Regenerator
4
Lucent Technologies Inc.
Theory of Operation 
(continued)
12-3228(F)r.4
Figure 5. Frequency and Phase Detector 
Characteristics
The frequency detector is not a separate function but 
an integral part of the phase-lock loop. Any transition 
between frequency and phase acquisition is completely 
avoided. Figure 5 shows the output characteristics of 
the FPD, which is essentially an extended range phase 
detector. The two quadrature clock phases are used to 
produce hysteresis, which extends the phase detector 
range to ±270°. The extended range gives the phase 
detector a static frequency sensitivity as demonstrated 
in Figure 6. For clock frequencies lower than the bit rate 
(the phase is increasing), the top trajectory of the dia-
gram in Figure 6 is followed. When the VCO frequency 
exceeds the bit rate, the lower trajectory applies. Since 
the linear part of the phase detector produces a net-
zero output, in the first instance, positive pulses are fed 
into the loop filter increasing the VCO frequency, while 
in the latter case, the FPD produces negative pulses.
The wide, 540° range of the phase detector is also 
responsible for the high jitter tolerance of the 
LG1600FXH and an associated immunity to cycle slip 
under high jitter conditions. The clock can be momen-
tarily misaligned as much as 270° but still return to its 
original position. This property is extremely important 
in synchronous systems, since a cycle slip would cause 
misalignment of the demultiplexer following the circuit 
resulting in a loss of frame condition. The LG1600FXH 
can handle bit error rates up to 1e
–3
 as a result of low-
frequency jitter.
12-3229(F)r.4
Figure 6. Frequency Detector Operation
PLL Dimensioning
The LG1600FXH CDR employs a heavily damped 
second order phase-lock loop. A linear model of this 
PLL is depicted in Figure 7. The conventional second-
order equation describing the jitter transfer of the PLL 
is shown below:
o
where
 
i
 and 
o 
denote the input and output phase, 
respectively, 
 
is the PLL damping ratio and 
ω
n
 is the 
natural frequency. For most clock recovery applications 
a very high damping is required, that renders the PLL 
essentially as a first-order system with a slight peaking 
that is generally undesirable. The second-order equa-
tion above does not provide much insight into the peak-
ing and bandwidth parameters.
12-3230(F)r.5
Figure 7. Phase-Lock Loop Linear Model
–360
°
–180
°
0
°
180
°
360
°
PHASE
FPD OUT
FPD
OUT
FPD
OUT
TIME
TIME
A. fck < f
B
B. fck > f
B
H s
----- s
 ( )
2
ω
n
s
-----------------------------------------
ω
n
+
s
2
2
ω
n
s
ω
n
+
+
=
=
i
o
Ko
VCO
Kd
PHASE DETECTOR
SUM OF INTERNAL
AND EXTERNAL
LOOP FILTER
CAPACITANCE
C
Rx