Abstract: A system with a data collection section and an algorithm is introduced that increases frequency sensitivity in 1D NMR Lorentzian spectra. Such spectra can be obtained for modest concentrations of solutes containing 15N and 13C (Carbonyls) and other low abundance nuclei in natural abundance. Lower levels of enrichment can be used if enrichment is at all necessary.

Abstract: A windowed noise reduction technique is presented that allows a noise-reduced spectrum of satisfactory accuracy to be recovered from original noisy spectroscopic data, while acquiring a significantly reduced number of transient acquisitions. The signal-averaged, decimated signal is written as a sum of a noisefree component and a noise component, and a vector space that contains a noisefree subspace and a noise subspace is created using these decimated signals. A correlation matrix is constructed in this vector space, and diagonalized to yield the singular values. The appearance of a clear gap between the noisefree singular values and the noise singular values, in a singular value graph, and the stability of the gap, supplies the criteria for determining that a sufficient number of iterations has been performed.

Abstract: A windowed noise reduction technique is presented that allows a noise-reduced spectrum of satisfactory accuracy to be recovered from original noisy spectroscopic data, while acquiring a significantly reduced number of transient acquisitions. The signal-averaged, decimated signal is written as a sum of a noisefree component and a noise component, and a vector space that contains a noisefree subspace and a noise subspace is created using these decimated signals. A correlation matrix is constructed in this vector space, and diagonalized to yield the singular values. The appearance of a clear gap between the noisefree singular values and the noise singular values, in a singular value graph, and the stability of the gap, supplies the criteria for determining that a sufficient number of iterations has been performed.