Reference : One-parameter fractional linear prediction
Scientific journals : Article
Engineering, computing & technology : Computer science
One-parameter fractional linear prediction
Despotovic, Vladimir mailto [University of Belgrade > Technical Faculty in Bor]
Skovranek, Tomas [Technical University of Kosice > BERG Faculty]
Peric, Zoran [University of Nis > Faculty of Electronic Engineering]
Computers and Electrical Engineering
New York
United Kingdom
[en] Linear prediction ; Optimal prediction ; Fractional calculus ; Fractional derivative
[en] The one-parameter fractional linear prediction (FLP) is presented and the closed-form expressions for the evaluation of FLP coefficients are derived. Contrary to the classical first-order linear prediction (LP) that uses one previous sample and one predictor coefficient, the one-parameter FLP model is derived using the memory of two, three or four samples, while not increasing the number of predictor coefficients. The first-order LP is only a special case of the proposed one-parameter FLP when the order of fractional derivative tends to zero. Based on the numerical experiments using test signals (sine test waves), and real-data signals (speech and electrocardiogram), the hypothesis for estimating the fractional derivative order used in the model is given. The one-parameter FLP outperforms the classical first-order LP in terms of the prediction gain, having comparable performance with the second-order LP, although using one predictor coefficient less.
Ministry of Education, Science and Technological Development of the Republic of Serbia ; Slovak Research and Development Agency ; Slovak Grant Agency for Science ; COST action

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