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

Shunsuke Yamaki, Masahide Abe, Masayuki Kawamata

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

L2-sensitivity is one of the functions that evaluates the coefficient quantization effects of state-space digital filters. This paper proposes a closed form solution to L2-sensitivity minimization of 2nd-order state-space digital filters subject to L2-scaling constraints. The proposed solution reduces a constrained optimization problem to an unconstrained optimization problem by appropriate variable transformation. Futhermore, by restricting ourselves to the case of 2nd-order state-space digital filters, we can formulate the L2-sensitivity minimization problem via hyperbolic functions. As a result, we can express the L 2-sensitivity in closed form, whose minimization subject to L 2-scaling constraints is achieved without iterative calculations.

Original languageEnglish
Title of host publicationAPCCAS 2006 - 2006 IEEE Asia Pacific Conference on Circuits and Systems
Pages1216-1219
Number of pages4
DOIs
Publication statusPublished - 2006 Dec 1
EventAPCCAS 2006 - 2006 IEEE Asia Pacific Conference on Circuits and Systems - , Singapore
Duration: 2006 Dec 42006 Dec 6

Other

OtherAPCCAS 2006 - 2006 IEEE Asia Pacific Conference on Circuits and Systems
CountrySingapore
Period06/12/406/12/6

ASJC Scopus subject areas

  • Engineering(all)

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