Effect of sampling on the estimation of the apparent coefficient of diffusion in MRI

The Apparent Diffusion Coefficient (ADC) is a quantitative measure derived from MRI that is able to asses the amount of diffusion within living tissues. It is employed to characterize different diseases and to evaluate response to therapy. For ADC estimation, the diffusion signal needs to be sampled using a small number of values, presenting distortions due to the aliasing and windowing effect. In this work we theoretically study these effects and propose some new robust estimators for ADC based on the Fourier Transform of the signal.