Table 1 (A) The mean errors in the magnetic field estimates fitted by various orders (1 to 4) of spatial polynomials over the entire EPI gradient waveform at maximal gradient amplitudes of 10, 20, 30 and 40 mT/m. (B) The mean errors in the accumulated phase estimates fitted by various orders (1 to 4) of spatial polynomials over the entire EPI gradient waveform at maximal gradient amplitudes of 10, 20, 30 and 40 mT/m.
From: Decoupled dynamic magnetic field measurements improves diffusion-weighted magnetic resonance images
Order of spatial polynomials | 1 | 2 | 3 | 4 |
|---|---|---|---|---|
Gradient strength | ||||
(A) Error in the magnetic field strength estimates | ||||
10 mT/m | 0.018 | 0.026 | 0.033 | 0.040 |
20 mT/m | 0.034 | 0.052 | 0.069 | 0.084 |
30 mT/m | 0.046 | 0.069 | 0.092 | 0.111 |
40 mT/m | 0.058 | 0.086 | 0.115 | 0.140 |
(B) Errors in accumulated phase estimates | ||||
10 mT/m | 0.038 | 0.041 | 0.044 | 0.044 |
20 mT/m | 0.064 | 0.072 | 0.079 | 0.081 |
30 mT/m | 0.088 | 0.096 | 0.102 | 0.105 |
40 mT/m | 0.113 | 0.121 | 0.127 | 0.133 |
