Analytical Probability Density Calculation for Step Pulse Response of a Single-Ended Buffer with Arbitrary Power-Supply Voltage Fluctuations


An analytical methodology to calculate the probability density functions (PDFs) for the step pulse response of a single-ended buffer with arbitrary power-supply voltage fluctuations is proposed. To validate the theory, a silicon IC with noise-aggressing buffers and a victim buffer was designed, fabricated, and assembled in a printed circuit board (PCB). The overall power distribution network (PDN) of the IC and PCB was modeled from impedance measurements. The PDFs of the step pulse response of the victim buffer with power-supply voltage fluctuations were calculated and validated by comparisons with HSPICE and experimental results. The obtained PDFs due to power-supply voltage fluctuations could be combined with the statistical link simulation methods for quick estimation of bit error rate (BER).


Electrical and Computer Engineering

Research Center/Lab(s)

Center for High Performance Computing Research

Second Research Center/Lab

Electromagnetic Compatibility (EMC) Laboratory

Keywords and Phrases

Bit error rate; Electric network analysis; Organic pollutants; Power distribution network; Power supply; Power supply voltage; Probability density function (pdf); Signal Integrity; Single-ended; Statistical links; Probability density function; power supply induced jitter (PSIJ)

International Standard Serial Number (ISSN)


Document Type

Article - Journal

Document Version


File Type





© 2014 Institute of Electrical and Electronics Engineers (IEEE), All rights reserved.

Publication Date

01 Jun 2014