Fractional discrete-time signal processing: Scale conversion and linear prediction
type: Item
instance of: scholarly article
title: Fractional discrete-time signal processing: Scale conversion and linear prediction
zbMATH Open document ID: 1009.93074
DOI: 10.1023/A:1016522226184
author: Manuel Ortigueira
author: Carlos J. C. Matos
author: Moisés S. Piedade
published in: Nonlinear Dynamics
publication date: 2003-04-13T00:00:00Z
review text: Widening the concepts and results in fractional discrete-time linear prediction, a generalization is obtained. Using the Cauchy integrals, causal systems described by linear fractional difference equations are studied. In its eight sections, the paper presents the theory, a practical algorithm, simulations and conclusions as follows. In the first section the general problem is presented, and in the second one a fractional delay and lead concepts review takes place. In section 3 the scale change property is generalized and in section 4 the dual of the results is used to perform an interesting practical application, namely the zoom transform. Working in the context of a stationary real stochastic process, in section 5 fractional linear prediction is presented. In section 6, the previous results are generalized and a solution to an interesting problem from economics is proposed. Simulation results are given in the seventh section to illustrate the behaviour of the algorithm, and in the last section some conclusions about the topic are presented.
reviewed by: Ilie Valuşescu
Mathematics Subject Classification ID: 93E10
Mathematics Subject Classification ID: 62M20
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 94A12
zbMATH DE Number: 1850653
zbMATH Keywords: fractional discrete-time prediction
zbMATH Keywords: scale conversion
zbMATH Keywords: zoom transform
zbMATH Keywords: Cauchy integrals
zbMATH Keywords: fractional delay
MaRDI profile type: Publication
full work available at URL: a:1016522226184
OpenAlex ID: W1518102209
description: scientific article; zbMATH DE number 1850653