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Invertierung von Multion-Funktionen in fast linearen Systemen

Inversion of multione-functions in almost linear systems

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Übersicht

Die Identifikation von linearen Systemen hat in der jüngsten Zeit ein grosses Interesse erzielt. Reale Systeme besitzen stets nichtlineare Teilsysteme. Diese nichtlinearen Teilsysteme erzeugen stets Fehler bei der Systemidentifikation. Wenn die zu analysierenden Systeme nur für die Verarbeitung von Signalen mit relativ kleinen Amplituden vorgesehen sind, so können diese Systeme für den interessierenden Bereich als lineare Systeme modelliert werden. Für die Systemidentifikation ist es somit wichtig, Multiton-Funktioner mit relativ kleinen Spitzenwerten zu finden. In der Arbeit wird das Verhalten von Multiton-Funktionen untersucht. Es wird die Frage nach der Invertierbarkeit von Multiton-Funktionen analysiert. Die Resultate der Arbeit lösen eine von Professor J. Massey vorgeschlagene Problemstellung.

Abstract

Identification of linear systems with multitone functions has received a great deal of attention in recent years. Identification errors will be caused by nonlinear distortions. If the object is simply to model the system for only small signal deviations from an operating point, then the nonlinear effects may be minimized and the system regarded as linear. So it is important for practical applications to find multitone functions with small peak values. The behavior of a certain class of multitone functions is investigated in this paper. The question of the inversion of multitone functions is analyzed. The results solve a problem proposed by Professor J. Massey.

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Authors and Affiliations

  1. Broadband Mobile Communication Networks, Heinrich-Hertz-Institut für Nachrichtentechnik Berlin GmbH, Einsteinufer 37, D-10587, Berlin, Germany

    H. Boche

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  1. H. Boche
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Boche, H. Invertierung von Multion-Funktionen in fast linearen Systemen. Electrical Engineering 81, 143–150 (1998). https://doi.org/10.1007/BF01236233

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  • DOI: https://doi.org/10.1007/BF01236233

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