Larsson Erik G, Erdogmus Deniz, Yan Rui, Principe Jose C, Fitzsimmons Jeffrey R
Department of Electrical and Computer Engineering, University of Florida, Gainesville, FL 32611, USA.
J Magn Reson. 2003 Jul;163(1):121-3. doi: 10.1016/s1090-7807(03)00132-0.
We consider the commonly used "Sum-of-Squares" (SoS) reconstruction method for phased-array magnetic resonance imaging with unknown coil sensitivities. We show that the signal-to-noise ratio (SNR) in the image produced by SoS is asymptotically (as the input SNR--> infinity ) equal to that of maximum-ratio combining, which is the best unbiased reconstruction method when the coil sensitivities are known. Finally, we discuss the implications of this result.
我们考虑用于具有未知线圈灵敏度的相控阵磁共振成像的常用“平方和”(SoS)重建方法。我们表明,SoS产生的图像中的信噪比(SNR)渐近地(当输入SNR趋于无穷大时)等于最大比合并的信噪比,而最大比合并是在线圈灵敏度已知时的最佳无偏重建方法。最后,我们讨论了这一结果的意义。