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This paper presents design-oriented analysis of the power distribution network (PDN) for high performance microprocessor systems to realize the resonant free, close to flat output impedance magnitude over a wide frequency range. Based on the frequency domain analysis, closed form design equations and parametric curves relating the system parameters are derived. A systematic method of estimating the optimum parameters of the decoupling capacitors used in a single or multistage PDN is described to realize the output impedance of specified magnitude for the noise-free, and critically damped voltage at the microprocessor core. The design examples and simulation results are discussed to demonstrate the application of the design equations and parametric curves.