An introduction to coil array design for parallel MRI

The basic principles of radiofrequency coil array design for parallel MRI are described from both theoretical and practical perspectives. Because parallel MRI techniques rely on coil array sensitivities to provide spatial information about the sample, a careful choice of array design is essential. The concepts of coil array spatial encoding are first discussed from four qualitative perspectives. These qualitative descriptions include using coil arrays to emulate spatial harmonics, choosing coils with selective sensitivities to aliased pixels, using coil sensitivities with broad k‐space reception profiles, and relying on detector coils to provide a set of generalized projections of the sample. This qualitative discussion is followed by a quantitative analysis of coil arrays, which is discussed in terms of the baseline SNR of the received images as well as the noise amplifications (g‐factor) in the reconstructed data. The complications encountered during the experimental evaluation of coil array SNR are discussed, and solutions are proposed. A series of specific array designs are reviewed, with an emphasis on the general design considerations that motivate each approach. Finally, a set of special topics is discussed, which reflect issues that have become important, especially as arrays are being designed for more high‐performance applications of parallel MRI. These topics include concerns about the depth penetration of arrays composed of small elements, the use of adaptive arrays for systems with limited receiver channels, the management of inductive coupling between array elements, and special considerations required at high field strengths. The fundamental limits of spatial encoding using coil arrays are discussed, with a primary emphasis on how the determination of these limits impacts the design of optimized arrays. This review is intended to provide insight into how arrays are currently used for parallel MRI and to place into context the new innovations that are to come. Copyright © 2006 John Wiley & Sons, Ltd.

[1]  R. E. Collin,et al.  The signal-to-noise ratio of nuclear magnetic resonance surface coils and application to a lossy dielectric cylinder model. I. Theory , 1995 .

[2]  J. L. Duerk,et al.  Intravascular Parallel Imaging : A Feasibility Study , 2002 .

[3]  P. Boesiger,et al.  Specific coil design for SENSE: A six‐element cardiac array , 2001, Magnetic resonance in medicine.

[4]  W. Manning,et al.  Simultaneous acquisition of spatial harmonics (SMASH): Fast imaging with radiofrequency coil arrays , 1997, Magnetic resonance in medicine.

[5]  J. Duyn,et al.  Design of a SENSE‐optimized high‐sensitivity MRI receive coil for brain imaging , 2002, Magnetic resonance in medicine.

[6]  Ming Lei,et al.  Digitalization decoupling method and its application to the phased array in MRI , 2003 .

[7]  Thoralf Niendorf,et al.  Highly parallel volumetric imaging with a 32‐element RF coil array , 2004, Magnetic resonance in medicine.

[8]  M. Ohliger,et al.  Parallel imaging with Augmented Radius in k-Space (PARS) , 2002 .

[9]  C A McKenzie,et al.  Coil‐by‐coil image reconstruction with SMASH , 2001, Magnetic resonance in medicine.

[10]  E. McVeigh,et al.  Signal‐to‐noise measurements in magnitude images from NMR phased arrays , 1997 .

[11]  Z. You,et al.  Improved high resolution imaging with 4-element liquid nitrogen phased array coil and VD-AUTO-SMASH at 1 . 5 , 2002 .

[12]  D. Hoult Sensitivity and Power Deposition in a High‐Field Imaging Experiment , 2000, Journal of magnetic resonance imaging : JMRI.

[13]  J W Carlson,et al.  Imaging time reduction through multiple receiver coil data acquisition and image reconstruction , 1993, Magnetic resonance in medicine.

[14]  Robin M Heidemann,et al.  Generalized autocalibrating partially parallel acquisitions (GRAPPA) , 2002, Magnetic resonance in medicine.

[15]  Steven M. Wright,et al.  Full‐wave analysis of planar radiofrequency coils and coil arrays with assumed current distribution , 2002 .

[16]  Ray F. Lee,et al.  Lumped‐element planar strip array (LPSA) for parallel MRI , 2004, Magnetic resonance in medicine.

[17]  Yi Wang,et al.  Description of parallel imaging in MRI using multiple coils , 2000, Magnetic resonance in medicine.

[18]  J B Ra,et al.  Fast imaging using subencoding data sets from multiple detectors , 1993, Magnetic resonance in medicine.

[19]  Renxin Chu,et al.  Scalable multichannel MRI data acquisition system , 2004, Magnetic resonance in medicine.

[20]  K. Uğurbil,et al.  Analysis of wave behavior in lossy dielectric samples at high field , 2002, Magnetic resonance in medicine.

[21]  Gg Shen,et al.  A new array design using tunable loop microstrip (TLM) coil , 2004 .

[22]  Peter Boesiger,et al.  2D sense for faster 3D MRI , 2002, Magnetic Resonance Materials in Physics, Biology and Medicine.

[23]  Steven M. Wright,et al.  SMASH imaging with an eight element multiplexed RF coil array , 2000, Magnetic Resonance Materials in Physics, Biology and Medicine.

[24]  Steen Moeller,et al.  An Elliptical Open-Faced Transceive Array for Ultra High Field Parallel Imaging and fMRI Applications , 2004 .

[25]  Ray F. Lee,et al.  Planar strip array (PSA) for MRI , 2001, Magnetic resonance in medicine.

[26]  P. Boesiger,et al.  Electrodynamics and ultimate SNR in parallel MR imaging , 2004, Magnetic resonance in medicine.

[27]  Daniel K Sodickson,et al.  Concentric coil arrays for parallel MRI , 2005, Magnetic resonance in medicine.

[28]  J. Fitzsimmons,et al.  Maximizing signal-to-noise ratio in the presence of coil coupling. , 1996, Journal of magnetic resonance. Series B.

[29]  D. Sodickson,et al.  Ultimate intrinsic signal‐to‐noise ratio for parallel MRI: Electromagnetic field considerations , 2003, Magnetic resonance in medicine.

[30]  Renxin Chu,et al.  Magnetic Resonance in Medicine 51:22–26 (2004) Signal-to-Noise Ratio and Parallel Imaging Performance of a 16-Channel Receive-Only Brain Coil Array at , 2022 .

[31]  D. Hoult The principle of reciprocity in signal strength calculations—a mathematical guide , 2000 .

[32]  Daniel K Sodickson,et al.  Effects of inductive coupling on parallel MR image reconstructions , 2004, Magnetic resonance in medicine.

[33]  Ray F. Lee,et al.  Coupling and decoupling theory and its application to the MRI phased array , 2002, Magnetic resonance in medicine.

[34]  P. Roemer,et al.  The NMR phased array , 1990, Magnetic resonance in medicine.

[35]  G. R. Duensing,et al.  The MRI Eigencoil: 2N-Channel SNR with N-Receivers , 2003 .

[36]  P. Boesiger,et al.  Advances in sensitivity encoding with arbitrary k‐space trajectories , 2001, Magnetic resonance in medicine.

[37]  K. Uğurbil,et al.  Parallel imaging performance as a function of field strength—An experimental investigation using electrodynamic scaling , 2004, Magnetic resonance in medicine.

[38]  D. Sodickson,et al.  A generalized approach to parallel magnetic resonance imaging. , 2001, Medical physics.

[39]  K. P. Pruessmann,et al.  An Investigation into the Role of Dielectric Resonance in Parallel Imaging , 2002 .

[40]  J. D. Hazle,et al.  Superconducting single and phased-array probes for clinical and research MRI , 2003 .

[41]  Yu-Chung N. Cheng,et al.  Magnetic Resonance Imaging: Physical Principles and Sequence Design , 1999 .

[42]  L. Wald,et al.  Theory and application of array coils in MR spectroscopy , 1997, NMR in biomedicine.

[43]  M. Nittka,et al.  Partially parallel imaging with localized sensitivities (PILS) , 2000, Magnetic resonance in medicine.

[44]  Hoby P Hetherington,et al.  SENSE imaging with a quadrature half‐volume transverse electromagnetic (TEM) coil at 4T , 2006, Journal of magnetic resonance imaging : JMRI.

[45]  Joseph Murphy-Boesch,et al.  Solenoidal array coils , 2002, Magnetic resonance in medicine.

[46]  Manojkumar Saranathan,et al.  Large field‐of‐view real‐time MRI with a 32‐channel system , 2004, Magnetic resonance in medicine.

[47]  Lawrence L Wald,et al.  Degenerate mode birdcage volume coil for sensitivity‐encoded imaging , 2003, Magnetic resonance in medicine.

[48]  K. P. Pruessmann,et al.  Transceive Stripline Arrays for Ultra High Field Parallel Imaging Applications , 2002 .

[49]  Jack K. Cohen,et al.  Nonuniqueness in the inverse source problem in acoustics and electromagnetics , 1975 .

[50]  A. Reykowski,et al.  Calculation of the signal-to-noise ratio for simple surface coils and arrays of coils [magnetic resonance imaging] , 1995, IEEE Transactions on Biomedical Engineering.

[51]  P. Boesiger,et al.  SENSE: Sensitivity encoding for fast MRI , 1999, Magnetic resonance in medicine.

[52]  Jacob Willig-Onwuachi,et al.  The SENSE-Cage: A Half-Birdcage Volume Coil , 2004 .

[53]  R. Edelman,et al.  Signal‐to‐noise ratio and signal‐to‐noise efficiency in SMASH imaging , 1999, Magnetic resonance in medicine.

[54]  A. Reykowski,et al.  A Novel Head/Neck Coil Design Using Matrix Clusters And Mode Combiners , 2004 .

[55]  H. Nyquist Thermal Agitation of Electric Charge in Conductors , 1928 .

[56]  A. Reykowski,et al.  Mode Matrix - A Generalized Signal Combiner For Parallel Imaging Arrays , 2004 .

[57]  Matthias M. Müller,et al.  8 channel double spiral head array coil for enhanced 3D parallel MRI at 1.5T , 2004 .

[58]  James A Bankson,et al.  Simulation‐based investigation of partially parallel imaging with a linear array at high accelerations , 2002, Magnetic resonance in medicine.

[59]  Mark Bydder,et al.  Generalized SMASH imaging , 2002, Magnetic resonance in medicine.