吉林大学学报(工学版) ›› 2018, Vol. 48 ›› Issue (2): 618-624.doi: 10.13229/j.cnki.jdxbgxb20170185

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New algorithm to estimate characteristic exponent of α-stable distribution

GUAN Ji-shi1, 2, SHI Yao-wu1, QIU Jian-wen2, SHAN Ze-biao3, SHI Hong-wei3   

  1. 1. College of Communication Engineering, Jilin University,Changchun 130022,China;
    2.Beijing Branch,China Nuclear Power Technology Research Institute Co. Ltd., Beijing 100083, China;
    3. School of Electronic and Information Engineering, Changchun University of Science and Technology, Changchun 130022,China
  • Received:2017-02-14 Online:2018-03-01 Published:2018-03-01

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Abstract: To estimate the parameter of α-stable distribution signal, this paper proposes an algorithm based on the plus property and p-norm property of α-stable distribution. The characteristic exponent α is estimated using the relationship between the p-norm of original variable and the new p-norm of variable, which is the combination of several variables with the same α-stable distribution. The definition and the properties of the α-stable distribution are introduced, and then the principle and execution steps of the proposed algorithm are explained. The unbiaseness and uniformity of the algorithm in estimation of the characteristic exponent are discussed. Simulation results show that this method can estimate the characteristics exponent of α-stable distribution in a wide range without any more information of the distribution. It works well even Gaussian noise is added to the α-stable variable. The estimation results can support the subsequent signal processing algorithm with α-stable noise.

Key words: communication technology, α-stable distribution, parameter estimation, plus property, p-norm

CLC Number: 

  • TN911
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