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. Author manuscript; available in PMC: 2010 Apr 1.
Published in final edited form as: Magn Reson Med. 2009 Apr;61(4):981–988. doi: 10.1002/mrm.21851

Table 3. The absolute value of phase noise covariance between every two directions for balanced encoding strategies and simple encoding strategies and the corresponding ratios.

Theoretical values Experimental values

|cov(x, y)| |cov(x, z)| |cov(y, z)|
|cov|¯
Three-point Balanced 0 0.00033 0.00033
Simple
σφ2
0.04361 0.04361
Bal/Sim 0 0.8% 0.8%

Four-point Balanced 0 0.00044 0.00014 0.00034 0.00031
Simple
σφ2
0.04644 0.04753 0.04609 0.04669
Bal/Sim 0 0.9% 0.3% 0.7% 0.7%