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Considering the low accuracy problem of complex dynamic load identification under the effect of real measurement noise，an L1 norm regularized load identification method based on redundant extended cosine transform dictionary is proposed. According to the convolutional relationship between the system response and the external load，the discrete system control equation for load identification is established. According to the main characteristics of the vibration response signal，appropriate discrete cosine basis functions are selected and extended，and the extended cosine dictionary and the Db10 wavelet dictionary are used to cascade a redundant extended dictionary to represent the complex load sparsely. By using the L1 norm regularization method to solve the sparse representation vector under the proposed redundant extended cosine transform dictionary，the optimal regularization parameter is obtained by improved L curve criterion，and the identification of beat load and repetitive impact load at different noise levels is realized. The experimental verification results show that the constructed redundant extended cosine transform dictionary has much better performance in sparse representation of beat load and repetitive impact load，and the load identification method based on the redundant extended cosine transform dictionary has great advantages to obtain accurate inversion results and good robustness.
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| 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 |
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