Detection Using Correlation Bound and its Application to Raman Spectroscopy

A detection approach, detection with correlation bound (DCB), is introduced based on a linear mixture model. We use the upper bound of the correlation between the target and mixing components as the detection index, and derive the expression for this correlation bound using the observed data. The proposed method is more robust and provides better detection performance than the currently used supervised and unsupervised approaches in Raman spectroscopy. We also apply the correlation bound to independent component analysis (ICA) within the framework of constrained ICA (c-ICA), and show how it can help improve the detection performance of ICA. Simulation results are presented to demonstrate the effectiveness of the proposed method in Raman spectroscopy for detection of surface-deposited chemical agents.