Abstract
Signaling analysis of nonlinear channels is challenging because it cannot rely on linear time invariant principles, while an exhaustive nonlinear simulation is computationally prohibitive for low bit error rates. To find the worst-case eye, an exhaustive approach requires nonlinear simulations of $2^m$ bit patterns for a channel of $m$-bit memory. In this work, we represent the nonlinear responses to the $2^m$ inputs by a rank-$k$ matrix, where $k$ denotes the number of distinct waveforms in the responses for a prescribed accuracy, which is much smaller than $2^m$. We further develop a fast full cross approximation (FCA) algorithm to find the rank-$k$ model with a low complexity independent of $2^m$. Simulations of large-scale real-world nonlinear circuits with an over 100-bit channel memory demonstrate the accuracy, efficiency, and capacity of the proposed work.
Brief Biography
Dan Jiao (Fellow, IEEE) received the Ph.D. degree in electrical engineering from the University of Illinois at Urbana-Champaign, Champaign, IL, USA, in 2001.,She then worked with the Technology Computer-Aided Design (CAD) Division, Intel Corporation, Hillsboro, OR, USA, until September 2005, as a Senior CAD Engineer, a Staff Engineer, and a Senior Staff Engineer. In September 2005, she joined Purdue University, West Lafayette, IN, USA, as an Assistant Professor with the School of Electrical and Computer Engineering, where she is currently a Professor. She has authored or coauthored three book chapters and more than 300 articles in refereed journals and international conferences. Her current research interests include computational electromagnetics, high-frequency digital, analog, mixed-signal, and RF integrated circuit (IC) design and analysis, high-performance very large scale integration (VLSI) CAD, modeling of microscale and nanoscale circuits, applied electromagnetics, fast and high-capacity numerical methods, fast time-domain analysis, scattering and antenna analysis, RF, microwave, and millimeter-wave circuits, wireless communication, and bio-electromagnetics.,Dr. Jiao was a recipient of the 2000 Raj Mittra Outstanding Research Award presented by the University of Illinois at Urbana-Champaign, the 2002 Intel Corporation’s Components Research the Intel Hero Award, the 2003 Intel Corporation’s Logic Technology Development (LTD) Divisional Achievement Award, the 2004 Best Paper Award presented at the Intel Corporation’s Annual Corporate-Wide Technology Conference (Design and Test Technology Conference) for her work on generic broadband model of high-speed circuits, the 2006 Jack and Cathie Kozik Faculty Startup Award (which recognizes an outstanding new faculty member of the School of Electrical and Computer Engineering, Purdue University), the 2006 Office of Naval Research (ONR) Award under the Young Investigator Program, the 2008 National Science Foundation (NSF) CAREER Award, the 2010 Ruth and Joel Spira Outstanding Teaching Award, the Intel Corporation’s Technology CAD Divisional Achievement Award, the Intel Corporation’s LTD Team Quality Award, the 2013 S. A. Schelkunoff Prize Paper Award of the IEEE Antennas and Propagation Society, which recognizes the Best Paper published in the IEEE Transactions on Antennas and Propagation during the previous year, and the Intel’s 2019 Outstanding Researcher Award. She served as the General Chair of the 2019 IEEE MTT-S International Conference on Numerical Electromagnetic and Multiphysics Modeling and Optimization (NEMO), Boston, USA. She has served as the reviewer for many IEEE journals and conferences. She is an Associate Editor of the IEEE Transactions on Components, Packaging, and Manufacturing Technology, and an Associate Editor of the IEEE Journal on Multiscale and Multiphysics Computational Techniques. She was selected as an IEEE MTT-Society Distinguished Microwave Lecturer in 2020. She was among the 21 women faculty selected across the country as the 2014–2015 Fellow of Executive Leadership in Academic Technology and Engineering (ELATE) at Drexel, a national leadership program for women in the academic STEM fields. She has been named a University Faculty Scholar by Purdue University since 2013. She was among the 85 engineers selected throughout the nation for the National Academy of Engineering’s 2011 U.S. Frontiers of Engineering Symposium.
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