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Anomaly Detection Based on Kernel Principal Component and Principal Component Analysis

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Communications, Signal Processing, and Systems (CSPS 2017)

Part of the book series: Lecture Notes in Electrical Engineering ((LNEE,volume 463))

Abstract

Nowadays, behind wall human detection based on UWB radar signal, which it had a strong anti-jamming performance, was an important problem. In this setting, principal component analysis (PCA) as an anomaly detection method was used, but PCA could only deal with linear data. Thus, we introduced the kernel principal component analysis (KPCA) for performing a nonlinear form of principal component analysis (PCA). We obtained the different state data based on UWB radar signal for the behind wall human detection. These data were used as training and testing data to calculate the squared prediction error (SPE) values that detect anomalies. The experimental results showed that the introduced approach of KPCA effectively captured the nonlinear relationship in the process data and showed superior process monitoring performance compared to linear PCA.

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Acknowledgements

This paper is supported by Natural Youth Science Foundation of China (61501326, 61401310), and Natural Science Foundation of China (61271411). It also supported by Tianjin Research Program of Application Foundation and Advanced Technology (15JCZDJC31500), and Tianjin Science Foundation (16JCYBJC16500).

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Correspondence to Wei Wang .

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Wang, W., Zhang, M., Wang, D., Jiang, Y., Li, Y., Wu, H. (2019). Anomaly Detection Based on Kernel Principal Component and Principal Component Analysis. In: Liang, Q., Mu, J., Jia, M., Wang, W., Feng, X., Zhang, B. (eds) Communications, Signal Processing, and Systems. CSPS 2017. Lecture Notes in Electrical Engineering, vol 463. Springer, Singapore. https://doi.org/10.1007/978-981-10-6571-2_271

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  • DOI: https://doi.org/10.1007/978-981-10-6571-2_271

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-6570-5

  • Online ISBN: 978-981-10-6571-2

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