Stagewise Anomaly Detection for E-Transaxle Quality Monitoring Using Wavelet and STFT Features
Organizations: H. Milton Stewart School of Industrial & Systems Engineering Georgia Institute of Technology Atlanta, USA · Ford Motor Company USA · Amazon Web Services
Abstract
This paper presents two interpretable machine-learning frameworks for quality screening of e-transaxle assemblies in electric vehicles: a Stagewise Wavelet Isolation Forest (SWIF) framework and a short-time Fourier transform (STFT)-based diagnostic framework. High-dimensional vibration signals acquired from front and back accelerometers are analyzed across multiple operating stages to capture stage-dependent vibration behavior. In the SWIF framework, signals are decomposed using a five-level Daubechies-4 discrete wavelet transform, and blockwise mean-squared coefficients are extracted from the selected wavelet detail level to obtain compact multiscale features. In the STFT-based framework, dominant-frequency trends are extracted from time-frequency representations and summarized through regression coefficients with respect to instantaneous motor speed. Anomaly detection models are trained using accepted production units under the assumption that only a small fraction of accepted assemblies contain latent defects, and their performance is evaluated using road-tested units with validated quality outcomes. Experiments on production and road-tested e-transaxle units show that both approaches provide interpretable diagnostic information, while SWIF achieves the most favorable balance between defect detection and false-positive control. Compared with the STFT-based method and alternative anomaly detectors, SWIF combined with Isolation Forest yields lower anomaly rates within the Accept population while identifying high-risk units from the Reject population. The stagewise structure further localizes anomalous behavior to specific operating conditions, supporting root-cause analysis and targeted process improvement.
Figures & tables
| Detector | Total | TP | TN | FP | FN | Precision | Recall | F1-Score | Accuracy |
|---|---|---|---|---|---|---|---|---|---|
| iForest | 14 | 3 | 9 | 0 | 2 | 1.000 | 0.600 | 0.750 | 0.857 |
| LOF | 14 | 3 | 6 | 3 | 2 | 0.500 | 0.600 | 0.545 | 0.643 |
| One-Class SVM | 14 | 5 | 5 | 4 | 0 | 0.556 | 1.000 | 0.714 | 0.714 |
| Detector | Group | Total | Flagged as Anomaly | Anomaly Rate |
|---|---|---|---|---|
| iForest | Accept | 935 | 13 | 0.0139 |
| iForest | Reject | 127 | 13 | 0.1024 |
| LOF | Accept | 935 | 19 | 0.0203 |
| LOF | Reject | 127 | 12 | 0.0945 |
| One-Class SVM | Accept | 935 | 156 | 0.1668 |
| One-Class SVM | Reject | 127 | 78 | 0.6142 |
| Detector | Total | TP | TN | FP | FN | Precision | Recall | F1-Score | Accuracy |
|---|---|---|---|---|---|---|---|---|---|
| iForest | 14 | 5 | 9 | 0 | 0 | 1.000 | 1.000 | 1.000 | 1.000 |
| LOF | 14 | 1 | 8 | 1 | 4 | 0.500 | 0.200 | 0.286 | 0.643 |
| One-Class SVM | 14 | 3 | 9 | 0 | 2 | 1.000 | 0.600 | 0.750 | 0.857 |
| Detector | Group | Total | Flagged as Anomaly | Anomaly Rate |
|---|---|---|---|---|
| iForest | Accept | 935 | 47 | 0.0503 |
| iForest | Reject | 127 | 16 | 0.1260 |
| LOF | Accept | 935 | 41 | 0.0439 |
| LOF | Reject | 127 | 17 | 0.1339 |
| One-Class SVM | Accept | 935 | 57 | 0.0610 |
| One-Class SVM | Reject | 127 | 10 | 0.0787 |
| Detector | Total | TP | TN | FP | FN | Precision | Recall | F1-Score | Accuracy |
|---|---|---|---|---|---|---|---|---|---|
| iForest | 14 | 3 | 9 | 0 | 2 | 1.000 | 0.600 | 0.750 | 0.857 |
| LOF | 14 | 4 | 9 | 0 | 1 | 1.000 | 0.800 | 0.889 | 0.929 |
| One-Class SVM | 14 | 5 | 0 | 9 | 0 | 0.357 | 1.000 | 0.526 | 0.357 |
| Detector | Group | Total | Flagged as Anomaly | Anomaly Rate |
|---|---|---|---|---|
| iForest | Accept | 935 | 94 | 0.1005 |
| iForest | Reject | 127 | 25 | 0.1969 |
| LOF | Accept | 935 | 71 | 0.0759 |
| LOF | Reject | 127 | 25 | 0.1969 |
| One-Class SVM | Accept | 935 | 344 | 0.3679 |
| One-Class SVM | Reject | 127 | 108 | 0.8504 |
Anomaly Detection
Anomaly detection finds rare or unexpected patterns in data, from defective products and system faults to fraud and security threats.
See all 652 papers