Graduate Exam Abstract

Sakshi Bhatnagar

M.S. Final
March 25, 2019, 1:00 pm - 2:30 pm
LSC-room number 392
Performance Assessment of Multi-Walled Carbon Nano-Tube Interconnects using Advanced Polynomial Chaos Scheme

Abstract: With the continuous miniaturization in
the latest VLSI technologies,
manufacturing uncertainties at
nanoscale processes and operations
are unpredictable at chip level,
packaging level and at board levels of
integrated systems. To overcome
such issues, simulation solvers to
model forward propagation of
uncertainties or variations in random
processes at device level to the
network response are required.
Polynomial Chaos Expansion (PCE)
of the random variables is the most
common technique to model the
unpredictability in the systems.
Existing methods for uncertainty
quantification have a major drawback
that as the number of random
variables in a system increases, its
computational cost and time
increases in a polynomial fashion.
In order to alleviate the poor
scalability of standard PC
approaches, predictor-corrector
polynomial chaos scheme and
hyperbolic polynomial chaos
expansion (HPCE) scheme are being
proposed in this thesis. In predictor-
corrector polynomial scheme, low-
fidelity meta-model is generated using
Equivalent Single Conductor (ESC)
approximation model and then its
accuracy is enhanced using low order
multi-conductor circuit (MCC) model
called as corrector model. In HPCE,
sparser polynomial expansion is
generated based on hyperbolic
criterion. These schemes result into
immense reduction in CPU cost and
speed. This thesis presents the novel
approach to quantify the uncertainties
in multi-walled carbon nano-tubes
using these schemes. The accuracy
and validation of these schemes are
also shown using various numerical

Adviser: Prof. Mahadi Nikdast
Co-Adviser: N/A
Non-ECE Member: Dr. Donald Estep
Member 3: Dr. Ali Pezeshki
Addional Members: N/A

1. Variability-aware Performance Assessment of Multi-Walled Carbon Nanotube Interconnects using a Predictor-Corrector Polynomial Chaos Scheme, IEEE, Electrical Design of Advanced Packaging and Systems (EDAPS) Symposium, December 2018

Authors: Sakshi Bhatnagar, Amanda Merkley, Rena Berdine, Yingheng Li, Dr. Sourajeet Roy

2. Hierarchical Polynomial Chaos for Variation Analysis of Silicon Photonics Micro-resonators, IEEE, The Applied Computational Electromagnetics Society (ACES), April 2019

Authors: Xinzhe Cao, Sakshi Bhatnagar, Dr. Mahdi Nikdast, Dr. Sourajeet Roy

3. Predictor-Corrector Algorithms and Their Scalability Analysis for Fast Stochastic Modeling of Multi-Walled Carbon Nanotube Interconnects, IEEE, Electromagnetic Compatibility (EMC), June 2019

Authors: Sakshi Bhatnagar, Yingheng Li, Amanda Merkley, David Weber, Dr. Sourajeet Roy

Program of Study:
ECE 442