The orientationally-averaging or the so-called power-averaging is a common approach to reduce the impact of macroscopic anisotropy in diffusion MRI (dMRI). This paper analytically derives two new closed-form unbiased orientationally-averaging diffusion MRI signal estimators and shows that the noise-related bias could be significantly suppressed with these new findings. The new formulas might be applied to retrospectively orientationally-averaged dMRI signals with minimal computational effort.
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