LMMSE filter for Rician MRI data

Version 1.2.0.0 (3 KB) by SANTIAGO AJA-FERNANDEZ
A filtering scheme for denoising MR data assuming an underlying Rician model.
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Updated 12 Jun 2012

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The linear minimum mean square error (LMMSE) estimator estimates the signal out of a noisy MR adquisition. The method automatically estimates the noise level from background. It is based on a Rician noise assumption, which is valid for single coil adquisitions (and sometimes in SENSE).

The whole method is described in

S Aja-Fernández, M. Niethammer, M. Kubicki, M. E. Shenton, C.F. Westin, "Restoration of DWI data using a Rician LMMSE estimator". IEEE Tr. on Medical Imag. Vol. 27, No. 10, Oct. 2008, pp. 1389-1403.

Cite As

SANTIAGO AJA-FERNANDEZ (2026). LMMSE filter for Rician MRI data (https://uk.mathworks.com/matlabcentral/fileexchange/36741-lmmse-filter-for-rician-mri-data), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R11
Compatible with any release
Platform Compatibility
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Version Published Release Notes
1.2.0.0

Default method to estimate noise is added. Function moda.m was missing and it was added to the end to the file.
1.0.0.0