Question 19.7: In a 600-MHz, 2-V CMOS microprocessor containing 15 million ...

In a 600-MHz, 2-V CMOS microprocessor containing 15 million transistors, the supply current varies by 25 A in approximately 5 ns [5]. If the processor provides 200 bond wires for ground and 200 for V_{D D} , estimate the resulting supply bounce.

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Assuming a total inductance of 5 nH for each bond wire and its corresponding package trace and pin, we have

\begin{aligned} \Delta V &=L \frac{\Delta I}{\Delta t} &(19.22)\\ &=\frac{5 \times 10^{-9}}{200} \cdot \frac{25}{5 \times 10^{-9}} &(19.23)\\ &=125 mV&(19.24) \end{aligned}

In the worst case, the supply bounce and the ground bounce add in-phase, yielding a total noise of roughly 250 mV, greater than 10% of the nominal supply voltage. To further suppress the noise, an external 1-μF MOS capacitor is placed on top of the chip and another 160 supply and ground bond wire pairs are connected from the chip to the capacitor [5].

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