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The non-monotonic behavior of power/ground noise with respect to the rise time t r  is investigated for an inductive power distribution network with a decoupling capacitor. A time domain solution is provided for the rise time that produces resonant behavior, thereby maximizing the power/ground noise. The sensitivity of the ground noise to the decoupling capacitance C d  and parasitic inductance L g  is evaluated as a function of the rise time. Increasing the decoupling capacitance is shown to efficiently reduce the noise for t r &#x2264; 2&#x221A;L g C d . Alternatively, reducing the parasitic inductance L g  is shown to be effective for t r  &#x2265; 22&#x221A;L g C d .

Equivalent rise time for resonance in power/ground noise estimation