Signal Singularity Detection Based on the Hermitian Wavelet for Fault Diagnosis

On Big Data analysis for fault diagnosis, health monitoring & fault tolerance of rockets and spacecrafts in aerospace industry, as the local anomaly induced signals tend to have singularity, this paper presents a guideline to employ the time-scale amplitude and phase diagrams based on the Hermitian wavelet transform to identify signal singularities. Firstly, the principle of signal singularity detection based on wavelet transform is formulated. Secondly, the definitions, characteristics, and expressions of the Hermitian wavelet transform is studied. Finally, simulations are carried out to verify the proposed algorithms.