It is desired to provide effective decoupling for a digital IC with a 3-ns switching speed at all frequencies above 1 MHz. Using a low-frequency target impedance of 100 m Ω and assuming that each capacitor has 5 nH of inductance in series with it.
a. How many equal-value discrete capacitors must be used?
b. What is the minimum value for each of the decoupling capacitors?