Abstract-Decoupling capacitors are widely used to reduce power supply noise. On-chip decoupling capacitors have traditionally been allocated into the white space available on a die or placed inside the rows in standard cell circuit blocks. The efficacy of on-chip decoupling capacitors depends upon the impedance of the power/ground lines connecting the capacitors to the current loads and power supplies. A design methodology for placing on-chip decoupling capacitors is presented in this paper. A maximum effective radius is shown to exist for each on-chip decoupling capacitor. Beyond this effective distance, a decoupling capacitor is ineffective. Depending upon the parasitic impedance of the power distribution system, the maximum voltage drop seen at the current load is caused either by the first droop (determined by the rise time) or by the second droop (determined by the transition time). Two criteria to estimate the minimum required on-chip decoupling capacitance are developed based on the critical parasitic impedance. In order to provide the required charge drawn by the load, the decoupling capacitor has to be charged before the next switching cycle. For an on-chip decoupling capacitor to be effective, both effective radii criteria should be simultaneously satisfied.Index Terms-Decoupling capacitors, power distribution systems, power supply noise, signal integrity.
Abstract-A closed-form expression is presented in this brief to accurately estimate the effective inductance of a single layer within an interdigitated power and ground (P/G) distribution network. Due to the large number of P/G lines in these networks, excessive time is required to calculate the inductance using 3-D simulation tools. The proposed expression is favorably compared with previous models and FastHenry, exhibiting accuracy and computational efficiency. The inductance of a single layer within an interdigitated P/G distribution network is bounded for any number of lines. The error of the proposed expression rapidly decreases with an increasing number of pairs within the network. The upper bound for the error of the proposed model is also determined.Index Terms-Interdigitated structure, power and ground (P/G) network, mutual inductance, self-inductance.
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