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Xilinx UG393 Spartan-6 FPGA PCB Design Guide

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Chapter 4: <strong>PCB</strong> Materials and Traces<br />

Loss Tangent<br />

Loss tangent is a measure of how much electromagnetic energy is lost to the dielectric as it<br />

propagates down a transmission line. A lower loss tangent allows more energy to reach its<br />

destination with less signal attenuation.<br />

As frequency increases, the magnitude of energy loss increases as well, causing the highest<br />

frequency harmonics in the signal edge to suffer the most attenuation. This appears as a<br />

degradation in the rise and fall times.<br />

Skin Effect and Resistive Losses<br />

The skin effect is the tendency for current to flow preferentially near the outer surface of a<br />

conductor. This is mainly due to the magnetic fields in higher frequency signals pushing<br />

current flow in the perpendicular direction towards the perimeter of the conductor.<br />

As current density near the surface increases, the effective cross-sectional area through<br />

which current flows decreases. Resistance increases because the effective cross-sectional<br />

area of the conductor is now smaller. Because this skin effect is more pronounced as<br />

frequency increases, resistive losses increase with signaling rates.<br />

Resistive losses have a similar effect on the signal as loss tangent. Rise and fall times<br />

increase due to the decreased amplitude of the higher harmonics, with the highest<br />

frequency harmonics being most affected. In the case of 10 Gb/s signals, even the<br />

fundamental frequency can be attenuated to some degree when using FR4.<br />

For example, an 8 mil wide trace at 1 MHz has a resistance on the order of 0.06Ω/inch,<br />

while the same trace at 10 Gb/s has a resistance of just over 1Ω/inch. Given a 10 inch trace<br />

and 1.6V voltage swing, a voltage drop of 160 mV occurs from resistive losses of the<br />

fundamental frequency, not including the losses in the harmonics and dielectric loss.<br />

Choosing the Substrate Material<br />

The goal in material selection is to optimize both performance and cost for a particular<br />

application.<br />

FR4, the most common <strong>PCB</strong> substrate material, provides good performance with careful<br />

system design. For long trace lengths or high signaling rates, a more expensive substrate<br />

material with lower dielectric loss must be used.<br />

Substrates, such as Nelco, have lower dielectric loss and exhibit significantly less<br />

attenuation in the gigahertz range, thus increasing the maximum bandwidth of <strong>PCB</strong>s. At<br />

3.125 Gb/s, the advantages of Nelco over FR4 are added voltage swing margin and longer<br />

trace lengths. At 10 Gb/s, a low-loss dielectric like Nelco is necessary unless high-speed<br />

traces are kept very short.<br />

The choice of substrate material depends on the total length of the high-speed trace and<br />

also the signaling rate.<br />

What-if analysis can be done in HSPICE simulation to evaluate various substrate<br />

materials. By varying the dielectric constant, loss tangent, and other parameters of the <strong>PCB</strong><br />

substrate material. The impact on eye quality can be simulated to justify the use of higher<br />

cost materials. The impact of other parameters such as copper thickness can also be<br />

explored.<br />

42 www.xilinx.com <strong>Spartan</strong>-6 <strong>FPGA</strong> <strong>PCB</strong> <strong>Design</strong> and Pin Planning<br />

<strong>UG393</strong> (v1.1) April 29, 2010

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