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

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.