11 Topological methods for vibration feature extraction

We explore the application of topological data analysis (TDA) to extract information from vibration sensor data. In Section 11.1, we describe the data embedding requirements for applying TDA and study the empirical performance of TDA, given different parameters of data embedding as well as under degraded data collection conditions. Furthermore, we provide empirical evidence of the correlation between select vibration metrics and TDA. The results stated in this section are adapted from reference [1]. In Section 11.2, we describe an application of TDA to detect anomalies from vibration signals. The methods described have indications of being useful to determine remaining useful life of components.