Abstract:Currently, the surrogate data method has become a widely used method in testing nonlinearity of time series. However, for the null hypothesis of linearly autocorrelated Gaussian noise with the mean and variance of the raw data, the exiting FT algorithms of generating surrogate data can not reproduce "pure" frequencies very well. In this paper, the surrogate data method is studied and an improved FT algorithms is proposed. Using the proposed algorithm, the surrogate data sets have the same mean, variance and Fourier spectrum with
the original data. This FT algorithm is compared to the previous and proved feasible by using Guass series and chaos time series of the logistic system.
雷敏; 王志中. 非线性时间序列的替代数据检验方法研究[J]. 电子与信息学报, 2001, 23(3): 248-254 .
Lei Min; Wang Zhizhong . Study of the Surrogate Data Method for Nonlinearity of Time Series. , 2001, 23(3): 248-254 .