Fisher information and Cramer-Rao lower bound for experimental design in parallel imaging.

ABSTRACT: PURPOSE:The Cramér-Rao lower bound (CRLB) is widely used in the design of magnetic resonance (MR) experiments for parameter estimation. Previous work has considered only Gaussian or Rician noise distributions in this calculation. However, the noise distribution for multi-coil acquisitions, such as in parallel imaging, obeys the noncentral χ-distribution under many circumstances. The purpose of this paper is to present the CRLB calculation for parameter estimation from multi-coil acquisitions. THEORY AND METHODS:We perform explicit calculations of Fisher matrix elements and the associated CRLB for noise distributions following the noncentral χ-distribution. The special case of diffusion kurtosis is examined as an important example. For comparison with analytic results, Monte Carlo (MC) simu

SUBMITTER: Bouhrara M 

PROVIDER: S-EPMC5843523 | biostudies-literature | 2018 Jun

REPOSITORIES: biostudies-literature