A closed form solution to L2-sensitivity minimization of second-order state-space digital filters subject to L2-scaling constraints

Shunsuke Yamaki, Masahide Abe, Masayuki Kawamata

研究成果: Article

9 引用 (Scopus)

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This paper proposes a closed form solution to L2-sensitivity minimization of second-order state-space digital niters subject to L 2-scaling constraints. The proposed approach reduces the constrained optimization problem to an unconstrained optimization problem by appropriate variable transformation. Furthermore, restricting ourselves to the case of second-order state-space digital filters, we can express the L 2-sensitivity by a simple linear combination of exponential functions and formulate the L2-sensitivity minimization problem by a simple polynomial equation. As a result, L2-sensitivity is expressed in closed. form, and its minimization subject to L2-scaling constraints is achieved without iterative calculations.

元の言語English
ページ(範囲)1697-1705
ページ数9
ジャーナルIEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
E91-A
発行部数7
DOI
出版物ステータスPublished - 2008 1 1

ASJC Scopus subject areas

  • Signal Processing
  • Computer Graphics and Computer-Aided Design
  • Electrical and Electronic Engineering
  • Applied Mathematics

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