PMID- 35017612 OWN - NLM STAT- PubMed-not-MEDLINE DCOM- 20220211 LR - 20220211 IS - 2045-2322 (Electronic) IS - 2045-2322 (Linking) VI - 12 IP - 1 DP - 2022 Jan 11 TI - A trend extraction method based on logistic functions and envelopes. PG - 530 LID - 10.1038/s41598-021-04596-8 [doi] LID - 530 AB - A method of step characteristic trend extraction based on logistic functions and envelopes (LFEs) is proposed in this paper. Compared with the existing trend extraction methods, the LFE method can determine the starting position of the step trend using a logistic function and extract the local trend using upper and lower envelopes. This method enhances the extraction accuracy and reduces the computation time. To verify the effectiveness of the LFE method, a simulated signal with a step trend feature was compared with the five-spot triple smoothing method, wavelet transform method and empirical mode decomposition-based method. All of these methods were applied to a real shock signal. The results demonstrate that the LFE method can reliably and accurately extract the trends with step characteristics based on less prior knowledge. Moreover, the proposed technique is suitable for industrial online applications. CI - (c) 2022. The Author(s). FAU - Zhang, Jingjing AU - Zhang J AD - School of Mechatronic Engineering and Automation, Foshan University, Foshan, 528225, China. FAU - Luo, Jinglin AU - Luo J AD - Foshan Zhishi Technology Co., Ltd, Foshan, 528225, China. 151809425@qq.com. FAU - Zhang, Xuan AU - Zhang X AD - Tianjin Aerospace Reliability Technology Co., Ltd, Tianjin, China. LA - eng GR - 52005106/National Natural Science Foundation of China/ PT - Journal Article PT - Research Support, Non-U.S. Gov't DEP - 20220111 PL - England TA - Sci Rep JT - Scientific reports JID - 101563288 SB - IM PMC - PMC8752829 COIS- The authors declare no competing interests. EDAT- 2022/01/13 06:00 MHDA- 2022/01/13 06:01 PMCR- 2022/01/11 CRDT- 2022/01/12 06:23 PHST- 2021/09/02 00:00 [received] PHST- 2021/12/21 00:00 [accepted] PHST- 2022/01/12 06:23 [entrez] PHST- 2022/01/13 06:00 [pubmed] PHST- 2022/01/13 06:01 [medline] PHST- 2022/01/11 00:00 [pmc-release] AID - 10.1038/s41598-021-04596-8 [pii] AID - 4596 [pii] AID - 10.1038/s41598-021-04596-8 [doi] PST - epublish SO - Sci Rep. 2022 Jan 11;12(1):530. doi: 10.1038/s41598-021-04596-8.