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Simulation-Driven Modeling and Optimization pp 135–159Cite as

Unattended Design of Wideband Planar Filters Using a Two-Step Aggressive Space Mapping (ASM) Optimization Algorithm

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Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 153))

Abstract

This chapter deals with the automated and unattended design of planar wideband bandpass filters by means of aggressive space mapping (ASM) optimization. The approach can be applied to bandpass filters based on semi-lumped element resonators (e.g., stepped impedance resonators, ring resonators, etc.) coupled through admittance inverters (implemented with quarter-wavelength transmission lines). It will be explained how the filter layout is automatically generated from filter specifications, i.e., central frequency, fractional bandwidth, in-band ripple, and order, without the need of any external aid to the design process. For this purpose, a novel optimization algorithm based on two independent ASM processes will be fully described. The proposed automatic design procedure will be detailed and validated through its application to generate several filter layouts starting from different sets of practical specifications.

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Notes

  1. 1.

    There are available expressions that provide the element values of the resonators from the filter order, central frequency, bandwidth, and response type (see [3]).

  2. 2.

    Nevertheless, the reported ASM algorithm can be easily adapted to different type of filters (i.e., considering different semi-lumped resonators).

  3. 3.

    The additional condition to univocally determine the three element values of the resonators is the transmission zero frequency, set to a fixed value.

  4. 4.

    As mentioned, the filter responses are similar, but not identical, to the standard Chebyshev responses.

  5. 5.

    For a given filter response, there is not a unique solution for the network of Fig. 1. However, if the admittance of the inverters is set to a certain value (typically J = 0.02 S, as considered in the guide example), then the element values of the resonators are univocally determined. This is a usual procedure, although sometimes the resonator elements are all fixed to the same value, and the resulting admittance of the inverters is univocally determined by the design equations.

  6. 6.

    Note that for Chebyshev bandpass filters the fractional bandwidth is given by the ripple level and is hence smaller than the once given by −3-dB level. However, in this chapter, the −3-dB fractional bandwidth is considered, since the ripple level is not constant in the optimization process (to be described). Thus, from now on, this −3-dB fractional bandwidth is designated as FBW, rather than FBW −3dB (as usual), for simplicity, and to avoid an excess of subscripts in the formulation.

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Acknowledgements

The results presented in this chapter have been generated thanks to the support of several projects by MINECO-Spain (projects TEC2013-47037-C5-1-R, TEC2013-40600-R, TEC2013-49221-EXP) and Generalitat de Catalunya (project 2014SGR-157). This work has also been supported by FEDER funds. Ferran Martín is in debt to Institució Catalana de Recerca i Estudis Avançats, who awarded him with an ICREA Academia Prize.

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Authors and Affiliations

  1. Departament d’Enginyeria Electrònica, GEMMA/CIMITEC, Universitat Autònoma de Barcelona, 08193, Bellaterra, Barcelona, Spain

    Marc Sans, Jordi Selga, Paris Vélez, Jordi Bonache & Ferran Martín

  2. Departamento de Comunicaciones, iTEAM, Universitat Politècnica de València, 46022, Valencia, Spain

    Ana Rodríguez & Vicente E. Boria

Authors
  1. Marc Sans
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  2. Jordi Selga
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  3. Ana Rodríguez
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  4. Paris Vélez
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  5. Vicente E. Boria
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  6. Jordi Bonache
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  7. Ferran Martín
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Corresponding author

Correspondence to Vicente E. Boria .

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Editors and Affiliations

  1. Engin. Optimization & Modeling Cent, Reykjavik University, Reykjavik, Iceland

    Slawomir Koziel

  2. College of Engineering, Iowa State University, Ames, Iowa, USA

    Leifur Leifsson

  3. School of Science and Technology, Middlesex University, London, United Kingdom

    Xin-She Yang

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Sans, M. et al. (2016). Unattended Design of Wideband Planar Filters Using a Two-Step Aggressive Space Mapping (ASM) Optimization Algorithm. In: Koziel, S., Leifsson, L., Yang, XS. (eds) Simulation-Driven Modeling and Optimization. Springer Proceedings in Mathematics & Statistics, vol 153. Springer, Cham. https://doi.org/10.1007/978-3-319-27517-8_6

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