Analytical calculation of pattern-dependent simultaneous switching outputs (SSO) due to power supply fluctuations

Kim, Jingook

doi:10.1109/edaps.2015.7383716

Cited by 5 publications

(8 citation statements)

References 10 publications

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“…This equivalent circuit can be mathematically modeled into simultaneous second order differential equations [ 20 ]. In such case, the final eye-diagram can be estimated solely using a mathematic tool such as MATLAB.…”

Section: Statistical Eye-diagram Estimation Methods Considering Power...mentioning

confidence: 99%

“…Previous works [ 20 , 21 ] proposed the statistical eye-diagram estimation method considering power/ground noise generated by SSO for the first time. However, it does not consider steady states affected by SSO.…”

Section: Verification Of the Proposed Statistical Methodsmentioning

confidence: 99%

“… Comparison between statistical eye-diagrams estimated based on previous methods [ 20 , 21 ] ( a ) and estimated based on the proposed method. ( b ) Total of 16 buffers are in operation, generating SSO effects at the data rate of 1 Gb/s.…”

Section: Figurementioning

confidence: 99%

“…In the following subsection, the occurrence probabilities of the SSO buffers for random cases and coded cases are derived. This equivalent circuit can be mathematically modeled into simultaneous second order differential equations [20]. In such case, the final eye-diagram can be estimated solely using a mathematic tool such as MATLAB.…”

Section: Step Responses Derivationmentioning

confidence: 99%

“…Double edge response (DER) and multiple edge response (MER) methods are capable of capturing the non-linearity impacts, but they are difficult to reflect the impacts of SSO noise [ 16 , 17 , 18 , 19 ]. In previous works [ 20 , 21 ], the statistical eye-diagram estimation method, which is capable of considering SSO impact, is proposed for the first time. However, the steady-states response affected by the SSO are not considered.…”

Section: Introductionmentioning

confidence: 99%

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A Statistical Approach for Signal and Power Integrity Co-Design in High-Speed Interconnects Considering Non-Linear Power/Ground Noise and Bit-Patterns

Kim

2023

Micromachines

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In this article, a novel statistical approach is proposed and applied to co-design signal and power integrity (SI/PI) in high-speed interconnects considering the non-linear power/ground noise generated by parallel buffers and bit-patterns. With increased data rates and decreased operating voltages, the allowed noise margin in high-speed interconnects is continuously reduced, and this trend requires SI/PI co-design. Specifically, non-linear power/ground noise associated with simultaneous switching circuits sharing a power delivery network (PDN) and bit-patterns must be carefully considered during the interconnects’ design and analysis phase. In many cases, conventional electromagnetic (EM) and transient circuit simulators require heavy computational resources or even fail to deliver an accurate result. The proposed statistical method estimates the statistical eye-diagram in the high-speed interconnect considering power/ground noise and bit-patterns such as data bus inversion (DBI) coding. The accuracy and computational efficiency of the proposed method are validated by comparing the result with HSPICE transient simulation result. The proposed method is also compared with conventional statistical methods, such as peak distortion analysis (PDA) and statistical channel simulation in the transient simulator. Lastly, the proposed method is applied to the SI/PI co-design and co-analysis in the high bandwidth memory (HBM) interposer channel. Impacts of decoupling capacitors on hierarchical PDN impedance, statistical eye-diagram of the HBM channel, and bit error rate (BER) Bathtub curves are summarized. Finally, the BER eye-diagram is derived from the estimated statistical eye-diagram for timing and voltage analysis. The impacts of hierarchical PDN design and bit-patterns on SI/PI are discussed.

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Section: Statistical Eye-diagram Estimation Methods Considering Power...mentioning

confidence: 99%

Section: Verification Of the Proposed Statistical Methodsmentioning

confidence: 99%