Periodicity of flare index revisited using the Hilbert–Huang transform method

Using the Hilbert–Huang Transform (HHT) method, we investigate the periodicity in the monthly mean flare indices from 1966 to 2007 (corresponding to almost four complete solar cycles), calculated by T. Atac and A. Ozguc. The results show as following. (1) The periods of 9.37 ± 2.53, 11.8 ± 0.172 and 23.6 ± 0.316 years are found to be statistically significant in the flare index. The most eminent period is 9.37 ± 2.53 years. (2) Other periods of 0.237 ± 0.196 years (86.6 ± 71.6 days), 0.525 ± 0.0508 years (191 ± 18.5 days), 1.05 ± 0.478 years (383 ± 174 days) and 2.37 ± 0.395 years are below the 99% confidence level line, suggesting they are due to stochastic random noise.