Estimation method based on geometric power for characteristic exponent of α noise

被引：0
|
作者：
Shi Y.-R. [1 ]
Qi J.-W. [1 ]
Qu S.-N. [1 ]
Pan X.-Y. [1 ]
Fu L. [1 ]
机构：
[1] College of Communication Engineering, Jilin University, Changchun
来源：
Jilin Daxue Xuebao (Gongxueban)/Journal of Jilin University (Engineering and Technology Edition) | 2023年 / 53卷 / 10期
关键词：
characteristic exponent; geometric power; plus property; signal processing; α; noise;
D O I：
10.13229/j.cnki.jdxbgxb.20211329
中图分类号：
学科分类号：
摘要：
Signal processing in the background of α noise is a hot issue in this field，but it is very difficult to directly obtain the relevant information of characteristic exponent of α noise in actual working conditions，which makes the application of fractional low-order statistical algorithm become particularly difficult. An estimation method based on the plus property of α-stable distribution and geometric power was proposed regarding the issue above. Firstly，the plus property is used to determine the relationship between several independent variables with the same α -stable distribution and the distribution of their sum. Then the characteristic exponent is estimated by using the characteristics the geometric power between the original variables and their sum-distribution variable. The experimental results show that this algorithm does not need to obtain the range of the characteristic exponent in advance. And it can be accurately estimated in the range of 0—2，the maximum root-mean-square error of the estimation result is only about 0.1 and the deviation is only 0.02 when it is estimated the sea clutter data，which can provide a priori information under the signal processing problem based on α noise. © 2023 Editorial Board of Jilin University. All rights reserved.
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页码：3007 / 3013
页数：6
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