Digital Signal Processing Reference
In-Depth Information
FEXT amplitude as a 1-ns rise time signal switching from 0V to 1V since they both
have a 1V-per-nanosecond swing.
It is apparent from (10.1b) that the FEXT amplitude grows as
Kf
is made
larger, as the length of the coupling region increases, as the voltage swing (
dv
) in-
creases, and when rise time (
dt
) is small. Therefore, FEXT is combated by lowering
the coupling between traces since that lowers
Kf
, keeping the coupled length short,
reducing the voltage swing of the aggressor, and lengthening its rise time.
10.3.2 What Are Typical
Kf
Values?
To find the forward crosstalk for a set of traces, a 2D field solver is used to deter-
mine the mutual capacitance and inductance, and
Kf
and then FEXT are found with
(10.1a) through (10.1c).
Figure 10.4 shows typical
Kf
values for a pair of 5-mil (0.13-mm)-wide, half-
ounce 65
ε
r
= 4.2). Since for-
ward crosstalk is not present on low loss stripline, the graph only shows microstrip.
The separation is given as multiples of the trace width. A separation of 3 rep-
resents 15 mils since the trace is 5 mils wide (or 0.39 mm for a 0.13-mm trace).
We find from Figure 10.4 that
Kf
is
Ω
and 50
Ω
solder mask-covered microstrips on FR4 (
−
160 pS/m for a 5-mil (0.13-mm)-wide,
50
microstrip separated by 5 mils (“separation” of 1) from its aggressor. Using
this in (10.1b) and assuming that the launched pulse has a 2V swing (
dv
in the
equation) and a 1-ns rise time (
dt
), the forward crosstalk pulse is found to be
Ω
−
320
mV if the traces are coupled for a length of 1 meter. The crosstalk would be
−
160
mV if the coupled region was a half-meter in length.
0s/m
−
20 ps/m
−
40 ps/m
−
60 ps/m
−
80 ps/m
−
100 ps/m
65
Ω
50
Ω
−
120 ps/m
−
140 ps/m
−
160 ps/m
−
180 ps/m
2
4
6
8
10
Separation (trace width multiples)
Figure 10.4
Kf
for half-ounce, 5-mil (0.13-mm)-wide 50
Ω
and 65
Ω
solder mask-covered mi-
crostrips on FR4. (Raw data from the Polar Si9000 2D fi eld solver [11].)