A Super - Resolution Parameter Estimation Algorithmfor Multi - Dimensional NMR Spectroscopy 1
نویسندگان
چکیده
A super-resolution parameter estimation scheme for multi-dimensional nuclear magnetic resonance spectroscopy is presented in this paper. Multi-dimensional nuclear magnetic resonance signals can be modeled as the summation of multi-dimensional damped sinusoids. The frequencies and the damping factors of multi-dimensional damped sinusoids play important roles in protein structure determination using multi-dimensional nuclear magnetic resonance spectroscopy. A super-resolution frequency and damping factor estimation algorithm is proposed. Since this algorithm makes full use of the rank-deeciency and Hankel properties of the data matrix composed of multi-dimensional nuclear magnetic resonance data, compared with other nuclear magnetic resonance data analysis algorithms, it has the ability to resolve the spectrum using very few data points. The performance of the new algorithm is demonstrated by computer simulation, and its validation is connrmed by experiment using real two-dimensional nuclear magnetic resonance data.
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