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Spatial domain method for the design of RF pulses in multicoil parallel excitation
Author(s) -
Grissom William,
Yip Chunyu,
Zhang Zhenghui,
Stenger V. Andrew,
Fessler Jeffrey A.,
Noll Douglas C.
Publication year - 2006
Publication title -
magnetic resonance in medicine
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.696
H-Index - 225
eISSN - 1522-2594
pISSN - 0740-3194
DOI - 10.1002/mrm.20978
Subject(s) - excitation , tikhonov regularization , regularization (linguistics) , frequency domain , computer science , parallel communication , bloch equations , pulse (music) , nonlinear system , physics , acoustics , algorithm , nuclear magnetic resonance , optics , mathematics , mathematical analysis , inverse problem , telecommunications , artificial intelligence , quantum mechanics , transmission (telecommunications) , computer vision , detector
Parallel excitation has been introduced as a means of accelerating multidimensional, spatially‐selective excitation using multiple transmit coils, each driven by a unique RF pulse. Previous approaches to RF pulse design in parallel excitation were either formulated in the frequency domain or restricted to echo‐planar trajectories, or both. This paper presents an approach that is formulated as a quadratic optimization problem in the spatial domain and allows the use of arbitrary k ‐space trajectories. Compared to frequency domain approaches, the new design method has some important advantages. It allows for the specification of a region of interest (ROI), which improves excitation accuracy at high speedup factors. It allows for magnetic field inhomogeneity compensation during excitation. Regularization may be used to control integrated and peak pulse power. The effects of Bloch equation nonlinearity on the large‐tip‐angle excitation error of RF pulses designed with the method are investigated, and the utility of Tikhonov regularization in mitigating this error is demonstrated. Magn Reson Med, 2006. © 2006 Wiley‐Liss, Inc.