DMUSIC algorithm for 2D NMR signals
The authors propose a super-resolution scheme for the parameter estimation of two-dimensional (2-D) NMR signals. 2-D NMR signals can be modeled as the summation of 2-D damped sinusoids. The frequencies and the damping factors of 2-D damped sinusoids play important roles in protein structure determination using 2-D NMR spectroscopy. The authors develop a super-resolution frequency and damping factor estimation algorithm-the damped MUSIC (DMUSIC) algorithm. Since the DMUSIC algorithm makes full use of the rank-deficiency and the Hankel property of the data matrix composed of the 2-D NMR data, compared with other NMR data analysis algorithms, it can resolve NMR spectroscopy signals under a low signal to noise ratio. The performance of the DMUSIC algorithm is demonstrated by simulations.