Decimative subspace-based parameter estimation techniques applied to magnetic resonance spectroscopy signals

In this paper, the problem of estimating the frequencies, dampings, amplitudes and phases of closely spaced complex damped exponentials in the presence of noise is considered. In several papers, decimation is proposed as a way to increase the performance of subspacebased parameter estimation methods, in the case of oversampling [1][2][3]. In this paper, a novel extension of the HTLS-method [4] that operates directly on the decimated data matrix is presented, and it is compared to other decimation methods. Experiments on simulated nuclear magnetic resonance (NMR) spectroscopy signals show the influence of decimation on the accuracy and computational complexity of the estimators. Keywords— decimation, subspace-based parameter estimation, NMR, quantitation