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论文类型： 期刊论文

发表时间： 2011-07-01

发表刊物： SIGNAL PROCESSING

收录刊物： SCIE、EI

卷号： 91

期号： 7

页面范围： 1645-1650

ISSN号： 0165-1684

关键字： 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

摘要： 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.