SNR-optimality of sum-of-squares reconstruction for phased-array magnetic resonance imaging |
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| Authors: | Larsson Erik G Erdogmus Deniz Yan Rui Principe Jose C Fitzsimmons Jeffrey R |
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| Institution: | Department of Electrical and Computer Engineering, University of Florida, Gainesville, FL 32611, USA. larsson@dsp.ufl.edu |
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| Abstract: | 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. |
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