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

Analytically exact correction scheme for signal extraction from noisy magnitude MR signals
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DOI:
10.1016/j.jmr.2006.01.016
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发表时间:
2006-04-01
影响因子:
2.2
通讯作者:
Basser, PJ
Basser, PJ
中科院分区:
化学3区
文献类型:
--
作者:
Koay, CG;Basser, PJ

文献摘要

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提出了一种从含噪磁共振信号中同时提取信号强度和噪声方差的解析精确方法。该方法依赖于信噪比(SNR)的固定点公式和校正因子。作为SNR的函数的校正因子建立了两个正交通道中MR信号幅度的方差与潜在高斯噪声的方差之间的基本联系。开发了一种更通用但非常相似的方法,用于使用多个接收器线圈进行并行信号采集。在MR成像的背景下,所提出的方法可以在逐像素的基础上进行,如果幅度信号的平均值和标准偏差是可用的。爱思唯尔公司出版
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 M R 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. Published by Elsevier Inc.