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4608X-102-102 Datasheet, PDF (56/62 Pages) Bourns Electronic Solutions – Resistor Networks Product Selection Guide
DRAM Applications
Application Guidelines
Termination of address and control lines is typically accom-
plished with low-valued resistors placed in series at the driver
output. Selection of the proper resistance value is performed in
two steps: approximation of the proper resistance using trans-
mission line equations, and secondly, through trial and error,
changing the resistance value to account for real world devia-
tions such as PCB vias and bends.
The appropriate transmission line equations are as
follows:
Zo = characteristic line impedance
(microstrip)
( ) √ =
87 In 5.98h ohms
er + 1.41
0.8w + t
Td = propagation delay of the line
√ = 1.017 0.475er + 0.67 ns/in.
Co = trace capacitance = 1000 (Td/Zo) pF/in.
Cd = equivalent trace capacitance associated with
each DRAM. It takes 0.5 inch to interconnect
one DRAM.
= 3.5pF/0.5 in. = 7 pF/in.
Zo’ = effective characteristic impedance, accounting
for capacitive loading of the DRAMs.
Zo
√ = 1 + Cd/Co
Td’ = effective propagation delay, accounting for the
capacitive loading of the DRAMs
√ Td = Td 1 + Cd/Co
where er = relative dielectric constant of the PCB’s glass
epoxy layer
h = distance from the trace to the ground plane
w = width of trace
t = thickness of trace
(Ref. MMI Systems Design Handbook, pp. 10-5 and 10-6.)
For example, for a trace with the following characteristics:
er = 5 (for G10 glass epoxy)
h = 30 mils
w = 15 mils
t = 3 mils
then, Zo = 85 ohms
Td = 0.15 ns/in.
Co = 1.76 pF/in.
Zo’ = 38 ohms
Td’ = 0.35 ns/in.
Thus on a theoretical basis, the design will require the resis-
tance of 38 ohms to match the trace impedance of the PCB.
However, the actual impedance will differ from this theoretical
value due to the non-ideal characteristics of the PCB trace
geometry (i.e., bends, curves and vias in the trace), as well as
the manufacturing variations inherent in the components and
materials. Therefore, a trial-and-error process must be employed
in order to optimize the value of the damping resistor.
The procedure involves selecting various values around the
calculated value and observing the resulting waveforms on an
oscilloscope. Choose the value that best balances the reduction
in ringing/reflection and the reduction in speed: a large resis-
tance value provides better damping, but will also add delay by
slowing the edge rate. Typically, resistance values for memory
damping will be in the range of 10 ohms to 50 ohms, with the
most common values in the 20 ohm to 30 ohm range.
Since memory damping is a type of series termination, distrib-
uted loading along the line will not be possible. That is, the
entire lumped load must be located at the end of the line, with
no other loads along the signal path. This will guarantee that the
waveform will remain undisturbed as it travels along the line. For
related reasons, the placement of the series damping resistor
should be as close to the driving device as possible.
332
Specifications are subject to change without notice.