Method for designing a selective RF pulse for use in a...

Electricity: measuring and testing – Particle precession resonance – Using a nuclear resonance spectrometer system

Reexamination Certificate

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Reexamination Certificate

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06853192

ABSTRACT:
In a method for designing a selective RF pulse for a magnetic resonance apparatus, based on a determination of a first polynomial (An(z)) and a second polynomial (Bn(z)) that are Shinnar-LeRoux transforms of the RF pulse, a flip angle distribution (α(x)) to be achieved with the RF pulse is prescribed, the first polynomial (An(z)) is determined proceeding from the flip angle distribution (α(x)), the phase distribution of the transverse magnetization to be achieved with the RF pulse is prescribed, and the second polynomial (Bn(z)) is determined such that the magnitude is determined by the flip angle distribution (α(x)) and the phase thereof corresponds to a sum of the prescribed phase distribution and the phase of the, first polynomial (An(z)).

REFERENCES:
patent: 5212448 (1993-05-01), Le Roux et al.
patent: 5280245 (1994-01-01), Pauly
patent: 5499629 (1996-03-01), Kerr et al.
patent: 5572126 (1996-11-01), Shinnar
patent: 5821752 (1998-10-01), LeRoux
patent: 6028428 (2000-02-01), Cunningham et al.
patent: 6181134 (2001-01-01), Wald
patent: 6265875 (2001-07-01), Saranathan et al.
patent: 6597170 (2003-07-01), Beard et al.
“Parameter Relations for the Shinnar-Le Roux Selective Excitation Pulse Design Algorithm,” Pauly et al, IEEE Trans. On Medical Imaging, vol. 10, No. 1, Mar. 1991, pp. 53-65.
“On The Design of FIR Filters by Complex Chebyschev Approximation,” Preuss, IEEE Trans. On Acoustics, Speech and Signal Processing, vol. 37, No. 5, May 1989, pp. 702-712.

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