In response to the problem that the extraction accuracy of existing harmonic detection methods is easily affected by noises, a novel harmonic detection method based on iteration symplectic geometry mode decomposition combined with total least squares and estimation of signal parameters with rotation invariant technique (TLS-ESPRIT) is proposed. First, the initial symplectic geometric components are obtained by constructing a trace matrix of harmonic signals and combining the matrix transformation. Second, based on dynamic time warping, the initial symplectic geometric components with a high similarity are linearly combined, and the residual components are eliminated. Third, the normalized mean absolute error is calculated to obtain the independent harmonic components. Finally, the TLS-ESPRIT algorithm is used to obtain the parameters of different harmonic and inter-harmonic components. Through an analysis of simulation and measured data, the superiority of the proposed method when it is applied in harmonic and inter-harmonic analysis under a noisy environment is verified.
| 科 Family | 属数 Number of genus | 种数 Number of species | 占总种数比例 Percentage of total species (%) | 属 Genus | 种数 Number of species | 占总种数比例 Percentage of total species (%) |
|---|---|---|---|---|---|---|
| 鹅膏菌科Amanitaceae | 2 | 11 | 5.26 | 鹅膏菌属 Amanita | 10 | 4.78 |
| 小菇科 Mycenaceae | 2 | 12 | 5.74 | 丝盖伞属 Inocybe | 5 | 2.39 |
| 多孔菌科 Polyporaceae | 8 | 14 | 6.70 | 蜡蘑属 Laccaria | 5 | 2.39 |
| 红菇科 Russulaceae | 3 | 23 | 11.00 | 小皮伞属 Marasmius | 6 | 2.87 |
| 小菇属 Mycena | 11 | 5.26 | ||||
| 光柄菇属 Pluteus | 5 | 2.39 | ||||
| 红菇属 Russula | 17 | 8.13 | ||||
| 栓菌属 Trametes | 5 | 2.39 |