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. Author manuscript; available in PMC: 2014 Jan 1.
Published in final edited form as: J Magn Reson. 2012 Nov 17;226:79–87. doi: 10.1016/j.jmr.2012.11.004

Table 1.

Frequency waveform polynomial coefficients, mean sensitivities (s̄) and maximum |β| of the approximated waveforms.

Dur (ms) 0.5 1 1.5 2
BW (Hz) 600 1200 1800 600 1200 1800 600 1200 1800 600 1200 1800
c0 2.52 3.22 3.19 1.40 1.77 2.36 1.25 1.47 1.80 1.01 1.34 1.56
c2 -1.69e1 -5.33e1 -8.75e-1 4.51e1 2.57e1 -2.67e1 -2.73e1 2.00e1 5.26 6.09 -2.10e1 3.89e1
c4 1.12e3 2.49e3 1.08e3 -2.49e3 -1.66e3 -1.12e3 2.98e3 -1.30e3 -2.63e2 -4.81e2 2.34e3 -3.81e3
c6 -4.05e4 -8.03e4 -6.11e4 8.17e4 7.99e4 1.52e5 -1.25e5 3.32e4 1.92e4 1.30e4 -8.82e4 1.44e5
c8 9.38e5 1.71e6 1.50e6 -1.67e6 -2.07e6 -4.59e6 2.86e6 -3.06e5 -5.83e5 -3.91e4 1.73e6 -2.48e6
c10 -1.26e7 -2.20e7 -1.95e7 2.11e7 2.98e7 6.72e7 -3.79e7 -3.50e5 8.36e6 -2.55e6 -2.02e7 2.07e7
c12 9.91e7 1.70e8 1.44e8 -1.64e8 -2.46e8 -5.46e8 2.97e8 2.83e7 -5.97e7 4.00e7 1.50e8 -6.89e7
c14 -4.49e8 -7.62e8 -6.05e8 7.58e8 1.16e9 2.51e9 -1.36e9 -2.24e8 2.04e8 -2.61e8 -6.89e8 -7.26e7
c16 1.08e9 1.82e9 1.34e9 -1.89e9 -2.90e9 -6.08e9 -3.36e9 7.61e8 -2.61e8 8.13e8 1.78e9 1.02e9
c18 -1.07e9 -1.77e9 -1.22e9 1.94e9 2.96e9 6.03e9 -3.44e9 -9.82e8 -2.49e7 -9.93e8 -1.96e9 -1.78e9
s̄ (rad/μT) 0.012 0.010 0.009 0.034 0.030 0.027 0.064 0.055 0.049 0.097 0.083 0.073
max |β| 0.010 0.010 0.010 0.010 0.010 0.011 0.011 0.010 0.011 0.011 0.012 0.013