Digital lock-in algorithm for biomedical spectroscopy and imaging instruments with multiple modulated sources

Digital lock-in detection provides spectroscopic and imaging instruments a means of measuring physical quantities with improved signal to noise ratios compared to analogue detection schemes. We introduce a digital lock-in detection algorithm for measuring the amplitude and phase of multiple amplitude modulated signals simultaneously by using particular modulation and sampling constraints and averaging filters. The technique exhibits exceptional reduction in both noise and inter-source distortion. It is shown that the digital lock-in technique can be performed as a simple matrix multiplication in order to reduce computation time. The digital lock-in algorithm is described and analyzed under certain sampling and modulation conditions. Results are shown for experimental data.