Magnetic resonance imaging apparatus and method of compensating for error magnetic field

1. A magnetic resonance imaging apparatus, comprising:

a static magnetic field magnet that generates a static magnetic field;

a transmitter/receiver that irradiates a high frequency magnetic field on a subject that is placed in the static magnetic field, and collects nuclear magnetic resonance signals generated from the subject;

a gradient magnetic field coil that adds a gradient magnetic field to the static magnetic field;

a correction coil that corrects non-uniformity of the static magnetic field;

a measurement control unit that controls the transmitter/receiver, the gradient magnetic field coil, and the correction coil; and

a compensation parameter calculation unit that performs calculations related to imaging, wherein

the compensation parameter calculation unit includes a primary compensation parameter calculation unit that calculates primary compensation parameters for a primary error magnetic field, and a secondary compensation parameter calculation unit that calculates secondary compensation parameters for a secondary error magnetic field, wherein

the primary compensation parameter calculation unit uses measurement values of the primary error magnetic field as the primary compensation parameters, generated as a result of applying a test gradient magnetic field of one or a plurality of axes, accompanying with a primary correction magnetic field output for the primary error magnetic field of a gradient magnetic field pulse of each axis, and wherein

the secondary compensation parameter calculation unit calculates, as the secondary compensation parameters, transfer functions whereby an output waveform obtained by applying transfer functions to a step response waveform of the test gradient magnetic field on which the primary correction magnetic field output for the primary error magnetic field is superimposed, best matches measurement values of the secondary error magnetic field; and

the measurement control unit includes a primary correction magnetic field output calculation unit that uses the primary compensation parameters for the primary error magnetic field to calculate the primary correction magnetic field output and a secondary correction magnetic field output calculation unit that uses the secondary compensation parameters for the secondary error magnetic field to calculate a secondary correction magnetic field output; wherein

both the primary correction magnetic field output and the secondary correction magnetic field output are superimposed to be sent as feedback to the primary correction magnetic field output calculation unit, and a last superimposed output after the feedback is supplied as a gradient magnetic field output to the gradient magnetic field coil; and

both the primary correction magnetic field output and the secondary correction magnetic field output, without feedbacking to the primary correction magnetic field output calculation unit, are superimposed as a correction coil output to be supplied to the correction coil.

2. The magnetic resonance imaging apparatus according to claim 1 , wherein the measurement control unit executes a pulse sequence for measuring the secondary error magnetic field that uses, as an output waveform of the test gradient magnetic field, a waveform obtained by superimposing the primary correction magnetic field output for the primary error magnetic field on the step response waveform of the test gradient magnetic field, and collects echo data.

3. The magnetic resonance imaging apparatus according to claim 1 , wherein the secondary compensation parameter calculation unit calculates the secondary compensation parameters for at least one of a polarization component and a gradient component of the secondary error magnetic field.

4. The magnetic resonance imaging apparatus according to claim 2 , wherein the measurement control unit executes, as the pulse sequence for measuring the secondary error magnetic field, a pulse sequence that collects echo data without using phase encoding.

5. The magnetic resonance imaging apparatus according to claim 4 , wherein the secondary compensation parameter calculation unit uses a phase of data of a center proximity region that includes a center region or a center of the echo data collected by the pulse sequence suitable for the measurement of the pulse sequence for measuring the secondary error magnetic field to calculate the secondary compensation parameters for a polarization component of the secondary error magnetic field.

6. The magnetic resonance imaging apparatus according to claim 5 , wherein the secondary correction magnetic field output calculation unit uses the secondary compensation parameters for the polarization component to calculate a secondary correction magnetic field output of the polarization component, and the measurement control unit supplies the secondary correction magnetic field output of the polarization component to the correction coil.

7. The magnetic resonance imaging apparatus according to claim 4 , wherein:

the measurement control unit executes the pulse sequence for measuring the secondary error magnetic field with an axis of the test gradient magnetic field and an axis of a frequency encoding gradient magnetic field being identical, and

the compensation parameter calculation unit calculates compensation parameters for a gradient component of the secondary error magnetic field for the axis of the frequency encoding gradient magnetic field.

8. The magnetic resonance imaging apparatus according to claim 1 , wherein the compensation parameter calculation unit further includes an m th compensation parameter calculation unit that calculates compensation parameters for an m th error magnetic field that is accompanying with correction magnetic field outputs from a primary error magnetic field to an (m−1)t error magnetic field, where m is an integer of 3 or greater.

9. The magnetic resonance imaging apparatus according to claim 8 , wherein the compensation parameter calculation unit further includes a determination unit that determines whether calculation of compensation parameters for the m th error magnetic field is necessary on the basis of the (m−1) th error magnetic field.

10. A method of compensating for a primary error magnetic field in which a gradient magnetic field coil of a magnetic resonance imaging apparatus is driven together with correction magnetic field output to correct a secondary error magnetic field that occurs in at least one of the gradient magnetic field coil and a correction coil included in the magnetic resonance imaging apparatus, the method comprising:

executing a first pulse sequence that applies a first test gradient magnetic field for measuring the primary error magnetic field generated by the application of the first test gradient magnetic field;

calculating and storing, as primary compensation parameters, an amplitude and a time constant of the primary error magnetic field using the primary error magnetic field;

executing a second pulse sequence that applies a second test gradient magnetic field for measuring the secondary error magnetic field, in which a waveform obtained by applying the primary compensation parameters to a response waveform of the first test gradient magnetic field is set as a response waveform, and measuring the secondary error magnetic field generated by the application of the second test gradient magnetic field;

calculating and storing, as secondary compensation parameters, an amplitude and a time constant of the secondary error magnetic field;

superimposing both the primary correction magnetic field output and the secondary correction magnetic field output to be sent as feedback to the primary correction magnetic field output calculation unit, and supplying a last superimposed output after the feedback as a gradient magnetic field output to the gradient magnetic field coil; and

superimposing both the primary correction magnetic field output and the secondary correction magnetic field output, without feedbacking to the primary correction magnetic field output calculation unit, as a correction coil output, and supplying to the correction coil.

11. The method of compensating for an error magnetic field according to claim 10 , wherein:

the second pulse sequence for measuring the secondary error magnetic field is a pulse sequence that does not include phase encoding, measures a polarization component of the secondary error magnetic field, and calculates the secondary compensation parameters for the polarization component, and

in an execution of the pulse sequence, the secondary correction magnetic field output calculated from the secondary compensation parameters for the polarization component is applied to the correction coil.

12. The method of compensating for an error magnetic field according to claim 10 , wherein:

the calculating of the secondary compensation parameters includes

repeating, while changing values of a set of secondary error magnetic field compensation parameters, the setting, as an input waveform, the waveform obtained by applying the primary compensation parameters to the response waveform of the first test gradient magnetic field and applying the set of secondary error magnetic field compensation parameters to the input waveform to obtain an output waveform, and

determining, as the secondary compensation parameters, values of the set of secondary error magnetic field compensation parameters at which the output waveform best matches measured values of the secondary error magnetic field obtained in the measuring of the secondary error magnetic field.