In this paper, a new input impedance, the multiinput impedance, which includes all information of the full impedance matrix, is proposed to accurately analyze and design planar power delivery networks (PDNs) in high-speed printed circuit boards and packages. The multiinput impedance includes all of the potential impacts of the other operating active power ports in both low and high frequencies. A systematical power-delivery-network analysis and design method using the multiinput impedance is developed. The global and local characteristics of the decoupled PDN are well demonstrated by the multiinput impedance, which make the analysis and design of the modern decoupled PDNs more accurate and reliable. Numerical and measured results show that the proposed multiinput impedance can characterize both the global and local characteristics of the planar PDNs with high accuracy.