Publications & Patents

Books, papers, and intellectual property from over two decades of power integrity research.

Books

Power Integrity Analysis and Management for Integrated Circuits

Raj Nair and Donald Bennett

Prentice-Hall PTR Signal Integrity Series, 2010. The first comprehensive treatment of power integrity from chip to system, covering droop theory, continuum simulation, and active noise regulation.

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Power Integrity for Nanoscale Integrated Systems

Masanori Hashimoto and Raj Nair

McGraw Hill, 2014. Advances the field into nanoscale processes covering on-chip resonances, advanced PDN modeling, and power integrity for 3D ICs and TSV assemblies.

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Selected Papers & Articles

Emerging Directions for Packaging Technologies

R. Mahajan, Raj Nair et al. — Intel Technology Journal, 2002

Microprocessor Assembly Interconnect Pathfinding Challenges

Raj Nair — Intel Assembly & Test Technology Journal, 2001

Beyond IR Drop: Dynamic Voltage Droops and Total Power Integrity

Raj Nair and Donald Bennett, Anasim Corp. — EETimes, March 2008

IC Floorplanning and Power Integrity

Raj Nair, Anasim Corp. — EDN / SOCcentral, 2008–2010

A Power Integrity Wall Follows the Power Wall

Raj Nair, Anasim Corp. — 2008

PI-FP Simulation Studies

PI Continuum Simulation: Load Modulation

Clock skew splits a load spike into two peaks; true-physical simulation reveals counterintuitive 66% noise increase.

Local Resonances in a Chip Power Grid

Continuum simulation demonstrating frequency-dependent noise amplification of ~20% due to local resonances.

DVD Variation with Load Vector Delays

Load vector phase differences impact DVD by up to 8%. A critique of vectorless analysis limitations.

Patents

40+ US and international patents across power delivery, packaging, IC design, and active noise regulation.

US 7,952,194 US 6,878,572 US 6,849,909 US 6,828,638 US 6,812,757 US 6,798,265 US 6,720,814 US 6,717,445 US 6,710,440 US 6,664,834 US 6,646,245 US 6,611,448 US 6,593,793 US 6,580,611 US 6,561,820 US 6,552,887 US 6,538,502 US 6,529,398 US 6,522,568 US 6,466,473 US 6,456,133 US 6,448,840 US 6,420,912 US 6,411,151 US 6,377,108 US 6,366,320 US 6,351,191 US 6,304,141 US 6,271,706 US 6,229,357 US 6,208,186 US 6,084,385 US 6,081,105 US 5,955,870