Fractional discrete-time signal processing: Scale conversion and linear prediction

Manuel D. Ortigueira, Carlos J C Matos, Moisés S. Piedade

Research output: Contribution to journalArticlepeer-review

22 Citations (Scopus)


A generalization of the linear prediction for fractional steps is reviewed, widening well-known concepts and results. This prediction is used to derive a causal interpolation algorithm. A reconstruction algorithm for the situation where averages are observed is also presented. Scale conversion of discrete-time signals is studied taking as base the fractional discrete-time system theory. Some simulation results to illustrate the behaviour of the algorithms will be presented. A new algorithm for performing the zoom transform is also described.

Original languageEnglish
Pages (from-to)173-190
Number of pages18
JournalNonlinear Dynamics
Issue number1-4
Publication statusPublished - Jul 2002


  • Fractional
  • Prediction
  • Scale conversion
  • Zoom transform


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