A fast algorithm of logarithm-form fractional lower-order spectrums

Jinlong Jiang, Daifeng Zha, Qian Zhang
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Abstract

A fast algorithm of logarithm-form fractional lower-order spectrums is proposed in this paper in order to be facilitative for practice application that traditional fractional lower-order spectrums need to identify characteristic exponent alpha and improve its calculating speed for alpha stable distribution signal or noise. The algorithm is not depended on a prior knowledge of characteristic exponent alpha, and ease to apply to DSP systems by assembly language instructions and fast Fourier transform (FFT). The application in a TMS320VC5416 DSP system shows that the algorithm is effective.
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对数形式分数阶低阶谱的快速算法
针对传统分数阶低阶谱对α稳定分布信号或噪声需要识别特征指数α,提高其计算速度的问题,本文提出了一种对数形式分数阶低阶谱的快速算法。该算法不依赖于特征指数alpha的先验知识,并且易于通过汇编语言指令和快速傅里叶变换(FFT)应用于DSP系统。在TMS320VC5416 DSP系统上的应用表明了该算法的有效性。
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