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Peak-to-Peak Ground Noise on a Power Distribution TSV Pair as a Function of Rise Time in 3-D Stack of Dies Interconnected Through TSVs
KTH, School of Information and Communication Technology (ICT), Electronic Systems.
KTH, School of Information and Communication Technology (ICT), Electronic Systems.
KTH, School of Information and Communication Technology (ICT), Electronic Systems.
KTH, School of Information and Communication Technology (ICT), Electronic Systems.
2011 (English)In: IEEE Transactions on Components Packaging and Manufacturing Technology, ISSN 2156-3950, Vol. 1, no 2, 196-207 p.Article in journal (Refereed) Published
Abstract [en]

Supply grids of integrated chips are interconnected through through-silicon vias (TSVs) in modern design techniques to form a 3-D stack in vertical direction. The load on each chip is supplied through (power/ground) TSV pairs. Accurate estimation of power/ground noise on each TSV pair of a 3-D power distribution network is necessary for a robust power supply design. The worst case noise obtained with fast switching characteristics may not be significantly accurate. The behavior of power/ground noise as a function of rise time for an inductive power distribution TSV pair with decoupling capacitance, is investigated in this paper. An equivalent rise time corresponding to resonance is presented to accurately estimate the worst case power/ground noise in the time domain. In addition noise sensitivity to decoupling capacitance and TSV inductance is evaluated as a function of rise time. We also discuss noise accumulation as a result of worst case damping factor in this paper.

Place, publisher, year, edition, pages
2011. Vol. 1, no 2, 196-207 p.
Keyword [en]
Decoupling capacitance, ground noise, resonance, rise time, 3-D stack, target impedance, through-silicon vias (TSVs)
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:kth:diva-37174DOI: 10.1109/TCPMT.2010.2099732ISI: 000292779200006Scopus ID: 2-s2.0-84866728950OAI: oai:DiVA.org:kth-37174DiVA: diva2:432298
Available from: 2011-08-02 Created: 2011-08-02 Last updated: 2012-10-15Bibliographically approved
In thesis
1. Core Switching Noise for On-Chip 3D Power Distribution Networks
Open this publication in new window or tab >>Core Switching Noise for On-Chip 3D Power Distribution Networks
2012 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

Reducing the interconnect size with each technology node and increasing speed with each generation increases IR-drop and Ldi/dt noise. In addition to this, the drive for more integration increases the average current requirement for modern ULSI design. Simultaneous switching of core logic blocks and I/O drivers produces large current transients due to power distribution network parasitics at high clock frequency. The current transients are injected into the power distribution planes thereby inducing noise in the supply voltage. The part of the noise that is caused by switching of the internal logic load is core switching noise. The core logic switches at much higher speed than driver speed whereas the package inductance is less than the on-chip inductance in modern BGA packages. The core switching noise is currently gaining more attention for three-dimensional integrated circuits where on-chip inductance is much higher than the board and package inductance due to smaller board, and package. The switching noise of the driver is smaller than the core switching noise due to small driver size and reduced capacitance associated with short on-board wires for three-dimensional integrated circuits. The load increases with the addition of each die. The power distribution TSV pairs to supply each extra die also introduce additional parasitic. The core switching noise may propagate through substrate and consequently through interconnecting TSVs to different dies in heterogeneous integrated system. Core switching noise may lead to decreased device drive capability, increased gate delays, logic errors, and reduced noise margins. The actual behavior of the on-chip load is not well known in the beginning of the design cycle whereas altering the design during later stages is not cost effective. The size of a three-dimensional power distribution network may reach billions of nodes with the addition of dies in a vertical stack. The traditional tools may run out of time and memory during simulation of a three-dimensional power distribution network whereas, the CAD tools for the analysis of 3D power distribution network are in the process of evolution. Compact mathematical models for the estimation of core switching noise are necessary in order to overcome the power integrity challenges associated with the 3D power distribution network design. This thesis presents three different mathematical models to estimate core switching noise for 3D stacked power distribution networks. A time-domain-based mathematical model for the estimation of design parameters of a power distribution TSV pair is also proposed. Design guidelines for the estimation of optimum decoupling capacitance based on flat output impedance are also proposed for each stage of the vertical chain of power distribution TSV pairs. A mathematical model for tradeoff between TSV resistance and amount of decoupling capacitance on each DRAM die is proposed for a 3D-DRAM-Over-Logic system. The models are developed by following a three step approach: 1) design physical model, 2) convert it to equivalent electrical model, and 3) formulate the mathematical model based on the electrical model. The accuracy, speed and memory requirement of the proposed mathematical model is compared with equivalent Ansoft Nexxim models.

Place, publisher, year, edition, pages
Stockholm: KTH Royal Institute of Technology, 2012. xxviii, 108 p.
Series
Trita-ICT-ECS AVH, ISSN 1653-6363 ; 12:06
National Category
Electrical Engineering, Electronic Engineering, Information Engineering
Identifiers
urn:nbn:se:kth:diva-103566 (URN)978-91-7501-519-4 (ISBN)
Public defence
2012-11-07, Sal/Hal Sal E, Forum, KTH-ICT, Isafjordsgatan 39, Kista, 09:00 (English)
Opponent
Supervisors
Note

QC 20121015

Available from: 2012-10-15 Created: 2012-10-15 Last updated: 2012-10-15Bibliographically approved

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