Integer/fractional decomposition of the impulse response of fractional linear systems

Manuel D. Ortigueira, J. Tenreiro Machado, Margarita Rivero, Juan J. Trujillo

Research output: Contribution to journalArticle

13 Citations (Scopus)


Abstract The decomposition of a fractional linear system is discussed in this paper. It is shown that it can be decomposed into an integer order part, corresponding to possible existing poles, and a fractional part. The first and second parts are responsible for the short and long memory behaviors of the system, respectively, known as characteristic of fractional systems.

Original languageEnglish
Article number5738
Pages (from-to)85-88
Number of pages4
JournalSignal Processing
Publication statusPublished - 15 Apr 2015


  • Discrete differential system
  • Fractional linear systems
  • Impulse response
  • Mittag-Leffler function

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