Abstract: The present invention is a system for chemometric analysis for the extraction of the individual component fluorescence spectra and fluorescence lifetimes from a target mixture. The present invention combines a processor with an apparatus for generating an excitation signal to transmit at a target mixture and an apparatus for detecting the emitted signal from the target mixture. The present invention extracts the individual fluorescence spectrum and fluorescence lifetime measurements from the frequency and wavelength data acquired from the emitted signal. The present invention uses an iterative solution that first requires the initialization of several decision variables and the initial approximation determinations of intermediate matrices. The iterative solution compares the decision variables for convergence to see if further approximation determinations are necessary.

Abstract: Apparatus and method for measuring the relative distance between different areas on a remote surface or displacements of a selected area of a remote surface with respect to a measuring apparatus are provided. A laser beam is modulated at an RF frequency and focused on a selected area. The selected area is scanned by movement of a mirror and at each selected area the phase difference is measured. Digital data processing of signals derived from the source and return beams is used to provide high precision. For detecting or measuring vibration or displacement, an analog signal is obtained from a low-pass filter.