Gradient waveform design for low-field magnetic resonance imaging systems

1. A method of generating a gradient waveform for use by a low-field magnetic resonance imaging (MRI) system to generate a gradient magnetic field, the low-field MRI system comprising a gradient coil and a gradient power amplifier for driving the gradient coil, the method comprising:

accessing first information indicative of the gradient waveform;

accessing second information indicative of hardware constraints of the low-field MRI system;

determining the gradient waveform using the first information and the second information, wherein the gradient waveform is a trapezoidal gradient waveform having a non-linear ramp-up portion and/or a non-linear ramp-down portion; and

generating the gradient waveform.

2. The method of claim 1 , further comprising generating the gradient magnetic field by using the gradient power amplifier and the gradient waveform to drive the gradient coil.

3. The method of claim 1 , wherein determining the gradient waveform comprises determining a shape of the ramp-up portion and/or the ramp-down portion using the first information and the second information.

4. The method of claim 1 , wherein determining the gradient waveform comprises determining gradient waveform parameters subject to hardware constraints specified using a differential equation, the differential equation specified in part using the second information.

5. The method of claim 1 , wherein accessing the first information comprises accessing information including a moment of the gradient magnetic field, a duration of the gradient magnetic field, and/or a maximum value of the gradient magnetic field.

6. The method of claim 1 , wherein accessing the first information comprises accessing a pre-determined gradient waveform.

7. The method of claim 1 , wherein accessing the second information comprises accessing information indicative of a maximum voltage of the gradient power amplifier, a maximum slew rate of the gradient coil, a resistance of the gradient coil, and an inductance of the gradient coil.

8. The method of claim 7 , wherein the maximum slew rate has a magnitude in a range from 10 T/m/s to 80 T/m/s.

9. The method of claim 7 , wherein the maximum slew rate has a magnitude in a range from 25 T/m/s to 65 T/m/s.

10. The method of claim 7 , wherein the maximum voltage of the gradient power amplifier has a magnitude in a range from 20 V to 120 V.

11. The method of claim 7 , wherein the maximum voltage of the gradient power amplifier has a magnitude in a range from 40 V to 60 V.

12. The method of claim 1 , further comprising:

after determining the gradient waveform, rotating a frame of reference of the gradient waveform to match a frame of reference of the low-field MRI system.

13. The method of claim 1 , wherein the low-field MRI system further comprises at least one permanent magnet configured to generate a B 0 magnetic field having a strength less than 0.2 T.

14. The method of claim 1 , wherein the low-field MRI system further comprises at least one permanent magnet configured to generate a B 0 magnetic field having a strength in a range from 50 mT to 0.1 T.

15. At least one non-transitory computer-readable storage medium storing processor-executable instructions that, when executed by a low-field magnetic resonance imaging (MRI) system, cause the low-field MRI system to perform a method of generating a gradient waveform for use by the low-field MRI system to generate a gradient magnetic field, the low-field MRI system comprising a gradient coil and a gradient power amplifier for driving the gradient coil, the method comprising:

accessing first information indicative of the gradient waveform;

accessing second information indicative of hardware constraints of the low-field MRI system;

determining the gradient waveform using the first information and the second information, wherein the gradient waveform is a trapezoidal gradient waveform having a non-linear ramp-up portion and/or a non-linear ramp-down portion; and

generating the gradient waveform.

16. The at least one non-transitory computer-readable storage medium of claim 15 , wherein determining the gradient waveform comprises determining a shape of the ramp-up portion and/or the ramp-down portion using the first information and the second information.

17. The at least one non-transitory computer-readable storage medium of claim 15 , wherein determining the gradient waveform comprises determining gradient waveform parameters subject to hardware constraints specified using a differential equation, the differential equation specified in part using the second information.

18. A low-field magnetic resonance imaging (MRI) system, comprising:

a magnetics system comprising a plurality of magnetics components configured to produce magnetic fields for performing magnetic resonance imaging, the plurality of magnetics components comprising a gradient coil and a gradient power amplifier for driving the gradient coil; and

at least one controller configured to operate one or more of the plurality of magnetics components, wherein the at least one controller is configured to:

access first information indicative of a gradient waveform;

access second information indicative of hardware constraints of the low-field MRI system;

determine the gradient waveform using the first information and the second information, wherein the gradient waveform is a trapezoidal gradient waveform having a non-linear ramp-up portion and/or a non-linear ramp-down portion; and

generate the gradient waveform.

19. The low-field MRI system of claim 18 , wherein the magnetics system comprises at least one permanent magnet configured to generate a B 0 magnetic field having a strength less than 0.2 T.

20. The low-field MRI system of claim 18 , wherein the magnetics system further comprises at least one permanent magnet configured to generate a B 0 magnetic field having a strength in a range from 50 mT to 0.1 T.