Analysis and Minimization of <i>l</i>₂-Sensitivity for Block-State Realization of IIR Digital Filters

• DOI Akimitsu

  Faculty of Applied Information Science, Hiroshima Institute of Technology

• HINAMOTO Takao

  Hiroshima University

• LU Wu-Sheng

  Department of Electrical and Computer Engineering, University of Victoria

抄録

Block-state realization of state-space digital filters offers reduced implementation complexity relative to canonical state-space filters while filter's internal structure remains accessible. In this paper, we present a quantitative analysis on l₂ coefficient sensitivity of block-state digital filters. Based on this, we develop two techniques for minimizing average l₂-sensitivity subject to l₂-scaling constraints. One of the techniques is based on a Lagrange function and some matrix-theoretic techniques. The other solution method converts the problem at hand into an unconstrained optimization problem which is solved by using an efficient quasi-Newton algorithm where the key gradient evaluation is done in closed-form formulas for fast and accurate execution of quasi-Newton iterations. A case study is presented to demonstrate the validity and effectiveness of the proposed techniques.

収録刊行物

• IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

  IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences E101.A (2), 447-459, 2018

  一般社団法人 電子情報通信学会

キーワード

• block-state realization
• <i>l</i>₂-scaling constraints
• <i>l</i>₂-sensitivity analysis
• <i>l</i>₂-sensitivity minimization
• state-space digital filters

詳細情報

• CRID: 1390001206313752960
• NII論文ID: 130006328013
• DOI: 10.1587/transfun.e101.a.447
• ISSN: 17451337
• ISSN: 09168508
• Web Site: https://www.jstage.jst.go.jp/article/transfun/E101.A/2/E101.A_447/_pdf
• 本文言語コード: en
• データソース種別:
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  • Crossref
  • CiNii Articles
• 抄録ライセンスフラグ: 使用不可