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Structural and Multidisciplinary Optimization

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01-09-2011 | Research Paper

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

Authors: Boyan Stefanov Lazarov, René Matzen, Yuriy Elesin

Published in: Structural and Multidisciplinary Optimization | Issue 3/2011

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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.

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The interpolation scheme corresponds to the Solid Isotropic Material with Penalization (SIMP) scheme, where the penalization parameter is set to 1. SIMP with p ≥ 1 is effective for suppressing intermediate(gray) values in the design, in the cases when an active volume constraint is introduced in the optimization problem.

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Title: Topology optimization of pulse shaping filters using the Hilbert transform envelope extraction
Authors: Boyan Stefanov Lazarov
René Matzen
Yuriy Elesin
Publication date: 01-09-2011
Publisher: Springer-Verlag
Published in: Structural and Multidisciplinary Optimization / Issue 3/2011
Print ISSN: 1615-147X
Electronic ISSN: 1615-1488
DOI: https://doi.org/10.1007/s00158-011-0642-y

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