Time Undersampled Acquisition for Multidimensional Sparse Signals With Application to Magnetic Resonance Spectroscopic Imaging

This paper deals with acceleration of multidimensional signal acquisition. The is assumed to have multiple discrete spatial dimensions where each point time varying. one-dimensional Fourier transform the evolution an a priori known bounded support. domain divided into several partitions, which can be sequentially acquired over time. We propose method for undersampling dimension that enables interleaving samples hence speeding up method, applied realistic simulated magnetic resonance spectroscopic imaging data (MRSI), leads reduction in acquisition by factor three.