Harvey P R, Mansfield P
Department of Physics, University of Nottingham, England.
Magn Reson Med. 1994 Aug;32(2):236-41. doi: 10.1002/mrm.1910320213.
Adaptation of Mansfield and Harvey's theory of magnetically induced neural stimulation indicates that, for trapezoidal gradient waveforms and at the relatively low modulation frequencies commonly used in echo-planar imaging, an increase in rise time even to the point of creating a triangular waveform can prove advantageous over the use of simple sinusoidal modulation. For example, a higher image resolution is in principle possible before the neural stimulation limit is reached. For higher modulation frequencies and fast ramp trapezoidal waveforms, the peak gradient can be lower than that for a sinusoidal waveform by a factor approaching 2/pi for equal resolution. This means that by using a multimode resonant gradient drive, the amplifier power requirements are greatly relaxed. The signal sampling bandwidth required is also lower, because, due to the trapezoidal nonlinear sample pattern, sample points are spaced linearly during the waveform plateaus.
曼斯菲尔德和哈维的磁感应神经刺激理论的适应性表明,对于梯形梯度波形以及在回波平面成像中常用的相对较低调制频率下,上升时间的增加甚至达到创建三角形波形的程度,可能比使用简单正弦调制更具优势。例如,在达到神经刺激极限之前原则上可以实现更高的图像分辨率。对于更高的调制频率和快速斜坡梯形波形,在分辨率相同时,峰值梯度可比正弦波形低近2/π倍。这意味着通过使用多模共振梯度驱动,放大器的功率要求可大大放宽。所需的信号采样带宽也较低,因为由于梯形非线性采样模式,在波形平稳期采样点是线性间隔的。