On the optimal reconstruction of dMRI images with multi-coil acquisition system

In this paper, we consider a multi-coil diffusion MRI system and compare the achievable performance bounds for two image reconstruction methods using, respectively, the Matched Filtering (MF) and the Sum-of-Squares (SoS) techniques. This performance comparison is related to the parameter estimation accuracy of the multi-tensor diffusion model expressed in terms of Cramér-Rao Bounds (CRB). In particular, this analysis allows us to thoroughly quantify the large gain in favor of the MF approach and to illustrate the significant acquisition time reduction we can obtain if we replace the standard SoS technique by the MF-based one.