Introduction to algorithms
Digital signal processing (3rd ed.): principles, algorithms, and applications
Digital signal processing (3rd ed.): principles, algorithms, and applications
Digital integrated circuits: a design perspective
Digital integrated circuits: a design perspective
Power supply noise analysis methodology for deep-submicron VLSI chip design
DAC '97 Proceedings of the 34th annual Design Automation Conference
Estimation of maximum power supply noise for deep sub-micron designs
ISLPED '98 Proceedings of the 1998 international symposium on Low power electronics and design
Hierarchical analysis of power distribution networks
Proceedings of the 37th Annual Design Automation Conference
Proceedings of the 37th Annual Design Automation Conference
Analysis of Ground Bounce in Deep Sub-Micron Circuits
VTS '97 Proceedings of the 15th IEEE VLSI Test Symposium
ICCD '00 Proceedings of the 2000 IEEE International Conference on Computer Design: VLSI in Computers & Processors
Hierarchical power supply noise evaluation for early power grid design prediction
Proceedings of the 2001 international workshop on System-level interconnect prediction
Modeling and analysis of regular symmetrically structured power/ground distribution networks
Proceedings of the 39th annual Design Automation Conference
Analysis and optimization of substrate noise coupling in single-chip RF transceiver design
Proceedings of the 2002 IEEE/ACM international conference on Computer-aided design
Power network analysis using an adaptive algebraic multigrid approach
Proceedings of the 40th annual Design Automation Conference
Vectorless Analysis of Supply Noise Induced Delay Variation
Proceedings of the 2003 IEEE/ACM international conference on Computer-aided design
Supply Voltage Degradation Aware Analytical Placement
ICCD '05 Proceedings of the 2005 International Conference on Computer Design
Efficient decoupling capacitor planning via convex programming methods
Proceedings of the 2006 international symposium on Physical design
SMM: Scalable Analysis of Power Delivery Networks by Stochastic Moment Matching
ISQED '06 Proceedings of the 7th International Symposium on Quality Electronic Design
Stochastic power/ground supply voltage prediction and optimization via analytical placement
IEEE Transactions on Very Large Scale Integration (VLSI) Systems
Deterministic random walk preconditioning for power grid analysis
Proceedings of the International Conference on Computer-Aided Design
Scalable power grid transient analysis via MOR-assisted time-domain simulations
Proceedings of the International Conference on Computer-Aided Design
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In this paper, we propose an approach for the analysis of power supply noise in the frequency domain for power/ground (P/G) networks of tree topologies. We model the P/G network as a linear time invariant (LTI) pseudo-distributed RLC network and the gates (or cells) as time-varying current sources. Voltage fluctuation caused by the switching events is calculated based on the effective impedances seen by the corresponding current sources and the spatial correlation between the nodes of the power network. Superposition is applied to the LTI system to obtain the overall noise spectrum at any node of the power supply network. Inverse Fast Fourier Transformation (IFFT) is then performed on the frequency domain noise spectrum to obtain the time domain noise waveform. The proposed algorithm has a complexity of O(n2). Experimental results show that our approach can produce accurate noise waveforms.