Analytically exact correction scheme for signal extraction from noisy magnitude MR signals

by: Cheng G Koay, Peter J Basser

Journal of Magnetic Resonance, Vol. 179, No. 2. (April 2006), pp. 317-322.

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Abstract

An analytically exact method is proposed to extract the signal intensity and the noise variance simultaneously from noisy magnitude MR signals. This method relies on a fixed point formula of signal-to-noise ratio (SNR) and a correction factor. The correction factor, which is a function of SNR, establishes a fundamental link between the variance of the magnitude MR signal and the variance of the underlying Gaussian noise in the two quadrature channels. A more general but very similar method is developed for parallel signal acquisitions with multiple receiver coils. In the context of MR imaging, the proposed method can be carried out on a pixel-by-pixel basis if the mean and the standard deviation of the magnitude signal are available.

@article{citeulike:2745990, abstract = {An analytically exact method is proposed to extract the signal intensity and the noise variance simultaneously from noisy magnitude MR signals. This method relies on a fixed point formula of signal-to-noise ratio (SNR) and a correction factor. The correction factor, which is a function of SNR, establishes a fundamental link between the variance of the magnitude MR signal and the variance of the underlying Gaussian noise in the two quadrature channels. A more general but very similar method is developed for parallel signal acquisitions with multiple receiver coils. In the context of MR imaging, the proposed method can be carried out on a pixel-by-pixel basis if the mean and the standard deviation of the magnitude signal are available.}, author = {Koay, Cheng G. and Basser, Peter J. }, citeulike-article-id = {2745990}, doi = {10.1016/j.jmr.2006.01.016}, journal = {Journal of Magnetic Resonance}, keywords = {mri, noise, rician}, month = {April}, number = {2}, pages = {317--322}, posted-at = {2008-05-02 15:31:38}, priority = {2}, title = {Analytically exact correction scheme for signal extraction from noisy magnitude MR signals}, url = {http://dx.doi.org/10.1016/j.jmr.2006.01.016}, volume = {179}, year = {2006} }

RIS record

TY - JOUR ID - citeulike:2745990 L3 - citeulike-article-id:2745990 TI - Analytically exact correction scheme for signal extraction from noisy magnitude MR signals JF - Journal of Magnetic Resonance VL - 179 IS - 2 SP - 317 EP - 322 N2 - An analytically exact method is proposed to extract the signal intensity and the noise variance simultaneously from noisy magnitude MR signals. This method relies on a fixed point formula of signal-to-noise ratio (SNR) and a correction factor. The correction factor, which is a function of SNR, establishes a fundamental link between the variance of the magnitude MR signal and the variance of the underlying Gaussian noise in the two quadrature channels. A more general but very similar method is developed for parallel signal acquisitions with multiple receiver coils. In the context of MR imaging, the proposed method can be carried out on a pixel-by-pixel basis if the mean and the standard deviation of the magnitude signal are available. KW - mri KW - noise KW - rician AU - Koay, Cheng AU - Basser, Peter PY - 2006/04// UR - http://dx.doi.org/10.1016/j.jmr.2006.01.016 ER -

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