System and method of determining high speed resonance due to coupling from broadside layers
View Patent ↗A method includes providing, on a printed circuit board, a first circuit trace having a first unit cell length and a second circuit trace having a second unit cell length, determining a time delay associated with the first unit cell length and the second unit cell length, estimating a floquet frequency associated with the time delay, where the floquet frequency is determined as f floquet = 1 2 t delay , where f floquet is the floquet frequency, and t delay is the time delay, and comparing the estimated floquet frequency with a first interface frequency associated with the first trace.
1. A method comprising:
providing, on a first printed circuit board, a first circuit trace having a first unit cell length and a second circuit trace having a second unit cell length;
determining a time delay associated with the first unit cell length and with the second unit cell length;
estimating a floquet frequency associated with the time delay, where the floquet frequency is determined as
f
floquet
=
1
2
t
delay
,
where f floquet is the floquet frequency, and t delay is the time delay;
comparing the estimated floquet frequency with a first interface frequency associated with the first trace; and
redesigning the first circuit trace in response to comparing the estimated floquet frequency with the first interface frequency.
2. The method of claim 1 , further comprising:
providing, on a second printed circuit board, a third circuit trace having a third unit cell length based on the redesign of the first circuit trace.
3. The method of claim 1 , wherein in redesigning the first circuit trace, the method further comprises:
changing one of the first unit cell length and a routing angle.
4. The method of claim 1 , further comprising:
comparing the estimated floquet frequency with a second interface frequency associated with the first trace; and
redesigning the second circuit trace based in response to comparing the estimated floquet frequency with the second interface frequency.
5. The method of claim 1 , wherein in determining the time delay, the method further comprises:
averaging the first unit cell length and the second unit cell length.
6. The method of claim 5 , wherein in determining the time delay, the method further comprises:
calculating an equivalent dielectric constant for the first printed circuit board.
7. The method of claim 1 , wherein in determining the time delay, the method further comprises:
calculating the time delay as
t
delay
=
l
avg
v
,
where l avg is an average of the first unit cell length and the second unit cell length, and v is a propagation velocity in the first printed circuit board.
8. The method of claim 1 , wherein in determining the time delay, the method further comprises:
determining a propagation delay in the first circuit trace and the second circuit trace using a time domain reflectometer.
9. A non-transitory computer-readable medium including code for performing a method, the method comprising:
providing, on a first printed circuit board, a first circuit trace having a first unit cell length and a second circuit trace having a second unit cell length;
determining a time delay associated with the first unit cell length and with the second unit cell length;
estimating a floquet frequency associated with the time delay, where the floquet frequency is determined as
f
floquet
=
1
2
t
delay
,
where f floquet is the floquet frequency, and t delay is the time delay;
comparing the estimated floquet frequency with a first interface frequency associated with the first trace; and
redesigning the first circuit trace in response to comparing the estimated floquet frequency with the first interface frequency.
10. The computer-readable medium of claim 9 , further comprising:
providing, on a second printed circuit board, a third circuit trace having a third unit cell length based on the redesign of the first circuit trace.
11. The computer-readable medium of claim 9 , wherein in redesigning the first circuit trace, the method further comprises:
changing one of the first unit cell length and a routing angle.
12. The computer-readable medium of claim 9 , further comprising:
comparing the estimated floquet frequency with a second interface frequency associated with the first trace; and
redesigning the second circuit trace based in response to comparing the estimated floquet frequency with the second interface frequency.
13. The computer-readable medium of claim 9 , wherein in determining the time delay, the method further comprises:
averaging the first unit cell length and the second unit cell length.
14. The computer-readable medium of claim 13 , wherein in determining the time delay, the method further comprises:
calculating an equivalent dielectric constant for the first printed circuit board.
15. The computer-readable medium of claim 9 , wherein in determining the time delay, the method further comprises:
calculating the time delay as
t
delay
=
l
avg
v
,
where l avg is an average of the first unit cell length and the second unit cell length, and v is a propagation velocity in the first printed circuit board.
16. The computer-readable medium of claim 9 , wherein in determining the time delay, the method further comprises:
determining a propagation delay in the first circuit trace and the second circuit trace using a time domain reflectometer.
17. An information handling system comprising:
a memory for storing code; and
a processor operable to execute code to:
determine a time delay associated with a first unit cell length of a first circuit trace on a first printed circuit board and with the second unit cell length of a second circuit trace on the first printed circuit board;
estimate a floquet frequency associated with the time delay, where the floquet frequency is determined as
f
floquet
=
1
2
t
delay
,
where f floquet is the floquet frequency, and t delay is the time delay;
compare the estimated floquet frequency with a first interface frequency associated with the first trace; and
redesign the first circuit trace in response to comparing the estimated floquet frequency with the first interface frequency.
18. The information handling system of claim 17 , wherein in determining the time delay, the processor is further operable to:
calculate the time delay as
t
delay
=
l
avg
v
,
where l avg is an average of the first unit cell length and the second unit cell length, and v is a propagation velocity in the first printed circuit board.