Howard Johnson - April 5, 2012
Figure 1 illustrates a typical electrical model of a dc-blocking capacitor as you might apply it in series with a serial link. The model shows one PCB-trace input and one output. Physically, the capacitor solders onto mounting pads that connect the input and the output traces. Electrically, the figure substitutes for the physical capacitor a schematic comprising the three main elements of the standard electrical model for a capacitor. CBULK represents the nominal capacitance of the component. LSERIES is the layout inductance associated with the pads, vias, and any parts of the capacitor body the signal current traverses. RSERIES is the equivalent series resistance of the component. Figure 1 lists typical values for a garden-variety, EIA 0402-sized, 6.3V capacitor. The figure also includes a fourth element, CBODY. That element represents the parasitic capacitance between the physical capacitor body and all other nearby objects, including the reference planes.
The first step in any circuit analysis involves a quick evaluation of the circuit impedances to see whether you can ignore any elements. Assume a link rate of 6.25 Gbps, for which the frequency of the alternating 101010 pattern, the fastest pattern you can make, equals 3.125 GHz. Figure 1 lists the impedance magnitudes of the four model elements at that frequency.
The impedances of the bulk capacitance and the series resistance are negligible; the series inductance and parasitic-shunt capacitance are the significant elements. The circuit looks like one short section of a ladder-circuit model for a distributed transmission line. The impedance of the circuit equals
where LSERIES is the series inductance and CBODY is the body capacitance.
When a rising edge arrives at the input terminus, if the circuit has too much body capacitance and too little series inductance, the impedance falls below the PCB's trace impedance, and the circuit reflects a brief negative pulse. If, on the other hand, the circuit has too much series inductance and too little body capacitance, so that the impedance exceeds the PCB trace's impedance, the circuit reflects a brief positive pulse. Adjust the inductance and capacitance to the correct ratio, and the circuit becomes almost completely electrically transparent. That is the secret to exceptional blocking-capacitor performance.
One way to lower the body capacitance is to cut a small, round void in the reference-plane layer right under the capacitor, thus relieving the capacitance to ground and slightly increasing the series inductance. Both effects increase the circuit impedance.
An analog engineer may suggest that you intentionally shrink the value of the bulk capacitance until the frequency of the series resonance formed by the bulk capacitance and the series inductance coincides with 3.125 GHz. Unfortunately, tuning the bulk capacitor in that way gains advantage only in one narrow band and still leaves the parasitic body capacitance to create reflections. Enlarging bulk capacitance until its impedance becomes negligible leaves you with only series inductance and body capacitance to consider. You can balance these elements against each other to obtain almost ideal performance.
Howard Johnson, PhD, of Signal Consulting, frequently conducts technical workshops for digital engineers at Oxford University and other sites worldwide. Visit his Web site at www.sigcon.com, or e-mail him at firstname.lastname@example.org.
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