A Fast Self-Learning Subspace Reconstruction Method for Non-Uniformly Sampled Nuclear Magnetic Resonance Spectroscopy

Fast Multipole Method based filtering of non-uniformly sampled data

Non-uniform fast Fourier Transform (NUFFT) and inverse NUFFT (INUFFT) algorithms, based on the Fast Multipole Method (FMM) are developed and tested. Our algorithms are based on a novel factorization of the FFT kernel, and are implemented with attention to data structures and error analysis.

Magnetic resonance image reconstruction from non-equidistantly sampled data

In this paper, we consider the problem of magnetic resonance (MR) image reconstruction from non-uniformly sampled data acquired by echo-planar imaging (EPI) and spiral scan imaging (SSI) techniques. In EPI, mismatches in the timings of the odd and even echoes collected with readout gradients of alternating polarity will result in \N=2" ghosting in the reconstructed images. We propose a new meth...

A Non-Uniformly Under-Sampled Blade Tip-Timing Signal Reconstruction Method for Blade Vibration Monitoring

High-speed blades are often prone to fatigue due to severe blade vibrations. In particular, synchronous vibrations can cause irreversible damages to the blade. Blade tip-timing methods (BTT) have become a promising way to monitor blade vibrations. However, synchronous vibrations are unsuitably monitored by uniform BTT sampling. Therefore, non-equally mounted probes have been used, which will re...

A Comparative Study of Subspace-based Methods for 2-d Nuclear Magnetic Resonance Spectroscopy Signals

One of the major challenges is using subspace-based approaches for the determination of the parameters of oneor multidimensional signals is their practical applicability on real data containing damped exponentials. In this paper, we present a comparison survey of low complexity subspacebased methods and we focus on 2-D nuclear magnetic resonance (NMR) spectroscopy application. We first present ...

Proton Nuclear Magnetic Resonance Spectroscopy