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Xilinx UG393 Spartan-6 FPGA PCB Design Guide

Xilinx UG393 Spartan-6 FPGA PCB Design Guide

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Chapter 5: <strong>Design</strong> of Transitions for High-Speed Signals<br />

X-Ref Target - Figure 5-1<br />

Td<br />

C<br />

50Ω<br />

2Td<br />

Figure 5-1:<br />

TDR Signature of Shunt Capacitance<br />

<strong>UG393</strong>_c5_01_091809<br />

X-Ref Target - Figure 5-2<br />

50Ω<br />

Figure 5-2:<br />

TDR Signature of Series Inductance<br />

<strong>UG393</strong>_c5_02_091809<br />

The magnitude of this excess capacitance (C) or inductance (L) can also be extracted from<br />

the TDR waveform by integrating the normalized area of the transition’s TDR response.<br />

The respective equations for capacitance and inductance are:<br />

t2<br />

2 V tdr () t – V step<br />

C = – -----<br />

Z 0<br />

∫<br />

------------------------------------ dt<br />

V<br />

t1 step<br />

t2 V tdr () t – V step<br />

L = 2Z 0 ∫<br />

------------------------------------ dt<br />

V<br />

t1 step<br />

Figure 5-3 shows the integration of the normalized TDR area.<br />

Equation 5-1<br />

Equation 5-2<br />

X-Ref Target - Figure 5-3<br />

t 1<br />

t 2<br />

Shaded area goes into the<br />

integral for Equation 13-2<br />

<strong>UG393</strong>_c5_03_091809<br />

Figure 5-3:<br />

Integration of Normalized TDR Area<br />

48 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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