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pth-order inverse of the Volterra series for multiple-input multiple-output non-linear dynamic systems
University of Gävle, Faculty of Engineering and Sustainable Development, Department of Electronics, Mathematics and Natural Sciences, Electronics.ORCID iD: 0000-0003-2887-049x
2018 (English)In: IET Circuits, Devices & Systems, ISSN 1751-858X, E-ISSN 1751-8598, Vol. 12, no 4, p. 403-412Article in journal (Refereed) Published
Abstract [en]

A method to determine the pth-order inverse of the Volterra series of multiple-input multiple-output non-linear dynamic systems is presented; it combines time- and frequency-domain techniques to determine the Volterra series of the inverse as a function of the forward system's Volterra series. The method can be used for continuous and discrete time systems. Each operator of non-linear order n of the inverse is a function of the forward system's operators of non-linear order n and lower. It is shown that the pth-order post-inverse is equal to the pth-order preinverse. For the special case that there are no linear cross terms and that the linear memory effects are negligible the kernels of the forward and inverse models are approximately the same. In an example, an approximate inverse model of a model of a concurrent dual band radio frequency amplifier is derived. © The Institution of Engineering and Technology 2018.

Place, publisher, year, edition, pages
Institution of Engineering and Technology , 2018. Vol. 12, no 4, p. 403-412
Keywords [en]
Codes (symbols), Continuous time systems, Digital control systems, Discrete time control systems, Feedback control, Frequency domain analysis, Inverse problems, Linear control systems, Radio frequency amplifiers, Telecommunication repeaters, Approximate inverse, Discrete - time systems, Dual band radios, Inverse models, Memory effects, Non-linear dynamic systems, Time and frequency domains, Volterra Series, MIMO systems
National Category
Electrical Engineering, Electronic Engineering, Information Engineering
Identifiers
URN: urn:nbn:se:hig:diva-27865DOI: 10.1049/iet-cds.2017.0447ISI: 000440944500013Scopus ID: 2-s2.0-85051249953OAI: oai:DiVA.org:hig-27865DiVA, id: diva2:1245999
Available from: 2018-09-06 Created: 2018-09-06 Last updated: 2018-09-06Bibliographically approved

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Rönnow, Daniel

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CiteExportLink to record
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Citation style
  • apa
  • harvard-cite-them-right
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
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Language
  • sv-SE
  • en-GB
  • en-US
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  • nn-NO
  • nn-NB
  • de-DE
  • Other locale
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Output format
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