Abstract

LEGAL DISCLAIMER: This is an academic research report. I, my supervisor, defence committee, and university, make no claim as to the fitness for any purpose, and accept no direct or indirect liability for the use of algorithms, findings, or recommendations in this thesis. ii The 2-D INADEQUATE experiment is a useful experiment for determining carbon structures of organic molecules known for having low signal-to-noise ratios. A non-linear optimization method for solving low-signal spectra result-ing from this experiment is introduced to compensate. The method relies on the peak locations defined by the INADEQUATE experiment to create boxes around these areas and measure the signal in each. By measuring pairs of these boxes and applying penalty functions that represent a priori information, we are able to quickly and reliably solve spectra with an acquisition time under a quarter of that required by traditional methods. Examples are shown using