Optimized Basis Functions Under Gaussian Color Noise for Magnetic Target Signal Detection
Mengkai Hu, Changping Du, H. D. Wang, Ming‐Yao Xia, Xiang Peng, Hong Mei Guo · IEEE Geoscience and Remote Sensing Letters · 2020
The orthogonal basis functions (OBFs) method is a viable approach for magnetic target signal detection under the Gaussian white noise. However, its performance would degrade overtly under the Gaussian color noise with the power spectral density of 1/fα, which is the common environmental magnetic noise. In this letter, based on the linear constrained minimum variance criterion and the generalized likelihood ratio test, respectively, an alternative detection scheme is proposed through the optimization of the basis functions by considering both the signal and noise information. Experiment results using both the simulated data and the measured data show that the present approach can significantly improve the detection performance when compared to the original OBFs method.