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• W2499695301 abstract "This paper introduces a new technique for analytical parameter estimation of skewed α-stable distribution with 1 < α ź 2 . Stable distribution as a four-parameter non-Gaussian distribution is completely characterized by its characteristic function (CF). There are some serious limitations in parameter estimation of α-stable distribution due to the lack of closed-form expression for the general α-stable probability density function (PDF). The proposed estimator uses a hierarchical framework based on the skewed α-stable CF, and hence, allows a rapid estimation of parameters with high accuracy in real-time signal processing algorithms. In our scheme, only two values of α-stable CF, which has analytic formula, are utilized to estimate the parameters of α-stable density. In addition, the closed-form expression for estimating the required values of CF is derived. To provide a precise quantitative assessment, our proposed approach is compared with three other state-of-the-art estimators which have analytic formulas through a series of goodness-of-fit tests. Simulation results also demonstrate that the proposed method has a good accuracy both for the symmetric and non-symmetric (skewed) α-stable distributions. Furthermore, the advantage of the proposed CF based method becomes more evident through the experimental results obtained from the high-resolution SAR images. HighlightsA novel approach for parameter estimation of α-stable distribution.Characteristic exponent, skewness, dispersion and location parameters are estimated analyticallyTwo points of CF are utilized to establish the hierarchical framework of the estimatorSimple implementation with good accuracy for symmetric and non-symmetric distributionsThe superior performance of the estimator for both synthetic and real SAR signals" @default.
• W2499695301 created "2016-08-23" @default.
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• W2499695301 date "2017-01-01" @default.
• W2499695301 modified "2023-09-24" @default.
• W2499695301 title "Characteristic function based parameter estimation of skewed alpha-stable distribution: An analytical approach" @default.
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• W2499695301 doi "https://doi.org/10.1016/j.sigpro.2016.07.020" @default.
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