Wavelet-based interpolation point selection for multi-shifted Arnoldi

Mehboob Alam; Arthur Nieuwoudt; Yehia Massoud

doi:10.1109/iscas.2007.377893

Wavelet-based interpolation point selection for multi-shifted Arnoldi

Mehboob Alam, Arthur Nieuwoudt, Yehia Massoud

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

2 Scopus citations

Abstract

As process technology continues to scale into the nanoscale regime and overall system complexity increases, the reduced order modeling of on-chip interconnect plays a crucial role in determining VLSI system performance. In this paper, we develop an adaptive wavelet interpolation method based on Krylov subspace techniques to generate reduced order interconnect models that are accurate across a wide-range of frequencies. We dynamically select interpolation points by applying an inexpensive Haar wavelet transform and performing irregular sampling in the frequency domain. The results indicate that our method provides greater accuracy than multi-shift Krylov subspace methods with uniform interpolation points. ©2007 IEEE.

Original language	English (US)
Title of host publication	Proceedings - IEEE International Symposium on Circuits and Systems
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	653-656
Number of pages	4
DOIs	https://doi.org/10.1109/iscas.2007.377893
State	Published - Jan 1 2007
Externally published	Yes

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10.1109/iscas.2007.377893

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title = "Wavelet-based interpolation point selection for multi-shifted Arnoldi",

abstract = "As process technology continues to scale into the nanoscale regime and overall system complexity increases, the reduced order modeling of on-chip interconnect plays a crucial role in determining VLSI system performance. In this paper, we develop an adaptive wavelet interpolation method based on Krylov subspace techniques to generate reduced order interconnect models that are accurate across a wide-range of frequencies. We dynamically select interpolation points by applying an inexpensive Haar wavelet transform and performing irregular sampling in the frequency domain. The results indicate that our method provides greater accuracy than multi-shift Krylov subspace methods with uniform interpolation points. {\textcopyright}2007 IEEE.",

author = "Mehboob Alam and Arthur Nieuwoudt and Yehia Massoud",

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year = "2007",

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doi = "10.1109/iscas.2007.377893",

language = "English (US)",

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T1 - Wavelet-based interpolation point selection for multi-shifted Arnoldi

AU - Alam, Mehboob

AU - Nieuwoudt, Arthur

AU - Massoud, Yehia

N1 - Generated from Scopus record by KAUST IRTS on 2022-09-13

PY - 2007/1/1

Y1 - 2007/1/1

N2 - As process technology continues to scale into the nanoscale regime and overall system complexity increases, the reduced order modeling of on-chip interconnect plays a crucial role in determining VLSI system performance. In this paper, we develop an adaptive wavelet interpolation method based on Krylov subspace techniques to generate reduced order interconnect models that are accurate across a wide-range of frequencies. We dynamically select interpolation points by applying an inexpensive Haar wavelet transform and performing irregular sampling in the frequency domain. The results indicate that our method provides greater accuracy than multi-shift Krylov subspace methods with uniform interpolation points. ©2007 IEEE.

AB - As process technology continues to scale into the nanoscale regime and overall system complexity increases, the reduced order modeling of on-chip interconnect plays a crucial role in determining VLSI system performance. In this paper, we develop an adaptive wavelet interpolation method based on Krylov subspace techniques to generate reduced order interconnect models that are accurate across a wide-range of frequencies. We dynamically select interpolation points by applying an inexpensive Haar wavelet transform and performing irregular sampling in the frequency domain. The results indicate that our method provides greater accuracy than multi-shift Krylov subspace methods with uniform interpolation points. ©2007 IEEE.

UR - http://ieeexplore.ieee.org/document/4252719/

UR - http://www.scopus.com/inward/record.url?scp=34548857964&partnerID=8YFLogxK

U2 - 10.1109/iscas.2007.377893

DO - 10.1109/iscas.2007.377893

M3 - Conference contribution

SP - 653

EP - 656

BT - Proceedings - IEEE International Symposium on Circuits and Systems

PB - Institute of Electrical and Electronics Engineers Inc.

ER -

Wavelet-based interpolation point selection for multi-shifted Arnoldi

Abstract

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