Topology optimization of pulse shaping filters using the Hilbert transform envelope extraction

Boyan Stefanov Lazarov, René Matzen, Yuriy Elesin

Research output: Contribution to journalJournal articleResearchpeer-review

Abstract

Time domain topology optimization is applied to design pulse shaping filters. The objective function depends on the pulse envelope, which is extracted by utilizing the Hilbert transform. The gradients with respect to the topology optimization variables are derived, and the optimization methodology is demonstrated for pulse delaying and pulse splitting. The formulation is applicable for non-linear structures and signals consisting of broad range of frequencies.
Original languageEnglish
JournalStructural and Multidisciplinary Optimization
Volume44
Issue number3
Pages (from-to)409-419
ISSN1615-147X
DOIs
Publication statusPublished - 2011

Keywords

  • Topology optimization
  • Envelope extraction
  • Hilbert transform

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