Title of Paper:Synthesis of multifractional Gaussian noises based on variable-order fractional operators

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Date of Publication:2011-07-01

Journal:SIGNAL PROCESSING

Included Journals:SCIE、EI

Volume:91

Issue:7

Page Number:1645-1650

ISSN No.:0165-1684

Key Words:Fractional Gaussian noise (fGn); Multifractional Gaussian noise (mGn); Multifractional Brownian motion (mBm); Fractional-order signal processing (FOSP); Variable-order fractional operator; Multifractional alpha-stable noise

Abstract:In this paper, a synthesis method, which is based on variable-order fractional operators, for multifractional Gaussian noises (mGn) is proposed by studying the relationship of white Gaussian noise (wGn), mGn, and multifractional Brownian motion (mBm). Furthermore, a synthesis method for multifractional alpha-stable processes, the generalization of mGn, is proposed in order to more accurately characterize the processes with local scaling characteristics and heavy tailed distributions. Synthetic examples of mGn and multifractional alpha-stable noises are provided for illustration. (C) 2011 Elsevier B.V. All rights reserved.