Intel Xeon Processor and Intel E7500/E7501Chipset Compatible Platform Design Guide
High-Speed Design Concerns
216 Intel
®
 Xeon™ Processor and Intel
®
 E7500/E7501 Chipset Compatible Platform Design Guide
12.5.3 Length Tuning Equation Derivation
When routing a motherboard, only one piece of the equation is a variable: PCB trace length. For 
example, if signals are tuned with respect to the strobe, the final equation used by a motherboard 
designer is derived as follows. First, two equations are defined:
Total_Strobe
Flight Time
 = Strobe
Component1 Flight Time
 + Strobe
PCB Flight Time
+ Strobe
Component2 Flight Time
Total_Signal
Flight Time
 = Signal
Component1 Flight Time
 + Signal
PCB Flight Time
+ Signal
Component2 Flight Time
Combining these equations yields:
Total_Strobe
Flight Time
= Total_Signal
Flight Time
 ± Tolerance
Strobe
Component1 Flight Time
 + Strobe
PCB Flight Time
 + Strobe
Component2 Flight Time 
= Signal
Component1 Flight Time
 + Signal
PCB Flight Time
+ Signal
Component2 Flight Time 
± Tolerance
Solving for 
Signal
PCB Flight Time
 yields:
Signal
PCB Flight Time
 = Strobe
Component1 Flight Time
 + Strobe
PCB Flight Time
+ Strobe
Component2 Flight Time 
– Signal
Component1 Flight Time
– Signal
Component2 Flight Time 
± Tolerance
Now substituting in velocities and trace lengths, we conclude with Equation 12-2.
Equation 12-2. Tuning for 1 Signal with Respect to 1 Strobe
Signal
PCB Trace Length
 =( (Strobe
Component1 Trace Length
 / Strobe
Component1 Trace Velocity
) 
+ (Strobe
PCB Trace Length
 / Strobe
PCB Trace Velocity
)
+ (Strobe
Component2 Trace Length
 / Strobe
Component2 Trace Velocity
)
– (Signal
Component1 Trace Length
 / Signal
Component1 Trace Velocity
)
– (Signal
Component2 Trace Length
 / Signal
Component2 Trace Velocity
) )
* Signal
PCB Trace Velocity
 ± Tolerance










