The Quadratic Time-Varying Hausdorff and Large Deviation Multifractal Spectrum of Stochastic Fractal Signal
Although multifractal describes the spectrum distribution of Singularity Exponent (SE), it loses the temporal information, and its hard to describe the dynamics evolving process of non-stationary system. The time-varying singularity distribution indicates the spatial dynamics character of system. Therefore, the time-varying quadratic multifractal spectrum is proposed. Similar to the Wigner-Ville time-frequency analysis, the time-delayed conjugation of analyzed signal is selected as the windows function, and the quadratic time-singularity exponent distribution of the instantaneous self-correlation is deduced based on the short-time multifractal analysis, i.e. quadratic time-singularity multifractal distribution, which includes Hausdorff Measure, time-varying singular spectrum distribution, time-varying large deviation multifractal spectrum, which exhibits the singular exponent distribution of signal at arbitrary time.
Gang Xiong Shu-ning Zhang Li Shu
Electronic engineering dept., NJUST, Nanjing China Automatics Station, SHRAD, Shanghai, China Electronic engineering dept., NJUST, Nanjing China Automatics Station, SHRAD, Shanghai, China
国际会议
2010国际混沌、分形理论与应用研讨会(IWCFTA 2010)
昆明
英文
476-480
2010-10-29（万方平台首次上网日期，不代表论文的发表时间）