Using prior knowledge in SVD-based NMR spectroscopy - the ATP example

We introduce the KNOB-SVD (knowledge based singular value decomposition) method for exploiting prior knowledge in NMR spectroscopy based on the singular value decomposition (SVD) of the data matrix. The ATP (adenosine triphosphate) complex, often modeled as a sum of seven exponentially damped sinusoids, is used as a vehicle for describing our SVD-based method throughout the paper. By means of a simple numerical example we show that our method provides more accurate parameter estimates than a commonly used general-purpose SVD-based method and a previously suggested prior knowledge-based SVD method using the same type of prior knowledge as considered herein.