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. Author manuscript; available in PMC: 2013 Jan 1.
Published in final edited form as: Magn Reson Med. 2012 Mar 12;69(1):127–136. doi: 10.1002/mrm.24241

Figure 3. Unconstrained Cramér-Rao bounds as coefficients of variation.

Figure 3

Three methods are presented using five sets of intrinsic parameter values (15 in Table 1). This study was performed at σSPGR = 1×10−3 M0, which corresponds to a clinically-feasible SNR for gradient echo sequences, and it should be noted that coefficients of variation scale with image SNR. The dotted lines on each plot are a reference goal for quantitative precision. In all cases, estimates of all parameters except M0 have impractically high variance. There is a surprising improvement in precision when multiple phase cycling patterns are utilized in SSFP acquisitions, despite the addition of an eighth free parameter.

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