Optimal design of multiple-channel RF pulses under strict power and SAR constraints

Magnetic Resonance in Medicine

Volumn 63, Issue 5, 2010, Pages 1280-1291

  Brunner, David O ^a   Pruessmann, Klaas P ^a  

^a ETH ZURICH   (Switzerland)

Author keywords

B1 non uniformity; Parallel transmission; Pulse design; RF safety; Transmit array; Transmit SENSE; Ultra high field MRI

Indexed keywords

IMAGE RECONSTRUCTION; ITERATIVE METHODS; RADAR IMAGING; RADIO WAVES; TRANSMISSIONS;

NON-UNIFORMITIES; PARALLEL TRANSMISSION; PULSE DESIGN; RF SAFETIES; TRANSMIT ARRAYS; TRANSMIT SENSE; ULTRA-HIGH FIELD MRIS;

RADIO TRANSMISSION;

ALGORITHM; ARTICLE; MATHEMATICAL ANALYSIS; POWER ANALYSIS; PROCESS OPTIMIZATION; RADIATION ABSORPTION; RADIATION PROCESSING; RADIOFREQUENCY; RADIOFREQUENCY PULSE; SIMULATION; COMPUTER ASSISTED DIAGNOSIS; IMAGE ENHANCEMENT; IMAGE QUALITY; INSTRUMENTATION; METHODOLOGY; NUCLEAR MAGNETIC RESONANCE IMAGING; RADIOFREQUENCY RADIATION; REPRODUCIBILITY; SENSITIVITY AND SPECIFICITY; SIGNAL PROCESSING;

ALGORITHMS; IMAGE ENHANCEMENT; IMAGE INTERPRETATION, COMPUTER-ASSISTED; MAGNETIC RESONANCE IMAGING; PHANTOMS, IMAGING; RADIO WAVES; REPRODUCIBILITY OF RESULTS; SENSITIVITY AND SPECIFICITY; SIGNAL PROCESSING, COMPUTER-ASSISTED;

EID: 77955297704     PISSN: 07403194     EISSN: 15222594     Source Type: Journal    
DOI: 10.1002/mrm.22330     Document Type: Article

References (46)

1. Pauly J, Nishimura D,Macovski A. A k-space analysis of small-tip-angle excitation. J Magn Reson 1989;81:43-56.
2. Pauly J, Nishimura D, Macovski A. A linear class of large-tip-angle selective excitation pulses. J Magn Reson 1989;82:571-587.
3. Katscher U, Boernert P, Leussler C, van den Brink JS. Transmit sense. Magn Reson Med 2003;49:144-150. (Pubitemid 36042344)
4. Zhu Y. Parallel excitation with an array of transmit coils. Magn Reson Med 2004;51:775-784. (Pubitemid 38420455)
5. Ullmann P, Junge S, Wick M, Seifert F, Ruhm W, Hennig J. Experimental analysis of parallel excitation using dedicated coil setups and simultaneous RF transmission on multiple channels. Magn Reson Med 2005;54:994-1001. (Pubitemid 41457071)
6. Grissom W, Yip C-Y, Zhang Z, Stenger VA, Fessler JA, Noll DC. Spatial domain method for the design of RF pulses in multicoil parallel excitation. Magn Reson Med 2006;56:620-629. (Pubitemid 44338881)
7. Katscher U, Roehrs J, Boernert P. Basic considerations on the impact of the coil array on the performance of transmit sense. Magn Reson Mater Phy 2005;18:81-88. (Pubitemid 40767698)
8. Yip C-Y, Fessler JA, Noll DC. A constrained minimization approach to designing multi-dimensional, spatially selective RF pulses. In: Proceedings of the Interl Soc Mag Reson Med, Kyoto, 2004. p 188.
9. Zhu Y. An analysis of reciprocity in parallel MRI. In: Proc Intl Soc Mag Reson Med, Berlin, 2007. p 1684.
10. International Commission on Non-ionizing Radiation Protection Guidelines for limiting exposure to time-varying electric, magnetic, and electromagnetic fields (up to 300 ghz). Health Physics 1998;74:494-522.
11. + homogenization and specific absorption rate hotspot suppression using a magnetic resonance phased array transmit coil. Magn Reson Med 2007;57:577-586.
12. Brunner DO, Pruessmann KP. Enforcing strict constraints in multiplechannel rf pulse optimization. In: Proc Intl Soc Mag Reson Med, Berlin, 2007. p 1690.
13. Katscher U, Boernert P, van den Brink JS. Theoretical and numerical aspects of transmit sense. IEEE Trans Med Imaging 2004;23:520-525.
14. Hansen PC. Analysis of discrete ill-posed problems by means of the l-curve. SIAM Rev 1992;34:561-580.
15. Hanke M, Hansen PC. Regularization methods for large-scale problems. Surv Math Ind 1993;3:253-315.
16. Lobo MS, Vandenberghe L, Boyd S, Lebret H. Applications of second-order cone programming. Linear Algebra Appl 1998;284:193-228.
17. Golub GH, von Matt U. Quadratically constrained least squares and quadratic problems. Numerische Mathematik 1991;59:561-580.
18. ThoaiNV. Duality bound method for the general quadratic programming problem with quadratic constraints. J Opt Theor Appl 2000;107:331-354. (Pubitemid 33212084)
19. Vandenberghe L, Boyd S. Semidefinite programming. SIAM Rev 1996;38:49-95. (Pubitemid 126610912)
20. Hanke M. On lanczos based methods for the regularization of discrete ill-posed problems. BIT 2001;41:1008-1018. (Pubitemid 33752963)
21. Golub GH, Loan CFV. Matrix computations. 3rd edition Johns Hopkins University Press; Baltimore, Maryland, 1996, p 694.
22. Toh KC, al e. SDPT3: a Matlab software package for semidefinite programming.
23. Loefberg J. Yalmip: a toolbox for modeling and optimization in matlab. In: Proceedings of the CACSD Conference, Taipei 2004.
24. Kannengiesser SAR, Brenner AR, Noll TG. Memory and time efficient deconvolution of b0 field inhomogeneity effects. In: ESMRMB, Seville, 1999. p 67-68.
25. Pruessmann KP, Weiger M, Boernert P, Boesiger P. Advances in sensitivity encoding with arbitrary k-space trajectories. Magn Reson Med 2001;46:638-651. (Pubitemid 32906132)
26. Sutton BP, Noll DC, Fessler JA. Fast, iterative, field-corrected image reconstruction for mri. IEEE Trans Med Imaging 2003;22:178-188.
27. Sánchez-González J, Tsao J, Dydak U, Desco M, Boesiger P, Pruessmann KP. Minimum-norm reconstruction for sensitivity-encoded magnetic resonance spectroscopic imaging. Magn Reson Med 2006;55:287-295. (Pubitemid 43238096)
28. Qu P, Luo J, Zhang B, Wang J, Shen GX. An improved iterative sense reconstruction method. Con Mag Reson Part B-Magnetic Resonance Engineering 2007;31B:44-50.
29. Yip C-Y, Fessler JA, Noll DC. Iterative RF pulse design for multi-dimensional, small-tip-angle selective excitation. Magn Reson Med 2005;54:908-917. (Pubitemid 41457063)
30. Graesslin I, Katscher U, Schweser F, Niemann M, Boernert P. Iterative solution of transmit sense using a conjugate gradient method. Proc Intl Soc Mag Reson Med, Seattle, 2006, p 2470.
31. Strakos Z, Tichy P. On error estimation in the conjugate gradientmethod and why it works in finite precision computations. Elec Trans Numer Anal 2002;13:56-80. (Pubitemid 38773955)
32. Jackson JI, Meyer CH, Nishimura DG, Macovski A. Selection of a convolution function for fourier inversion using gridding. IEEE Trans Med Imaging 1991;10:473-478. (Pubitemid 21727988)
33. Beatty PJ, Nishimura DG, Pauly JM. Rapid gridding reconstruction with a minimal oversampling ratio. IEEE Trans Med Imaging 2005;24:799-808. (Pubitemid 40850531)
34. Man L-C, Pauly JM, Macovski A. Multifrequency interpolation for fast off-resonance correction. Magn Reson Med 1997;37:758-792.
35. 0 inhomogeneity: a simultaneous reconstruction approach. In: Proc Intl Soc Mag Reson Med, Kyoto, 2005.
36. Mentrup D, Eggers H. Signal decay correction in 2D ultra-short echo time imaging. Magn Reson Mater Phy 2006;19:62-70.
37. Froehlich J, Baumann D, Brunner DO, Pruessmann KP, Vahldieck R. Computational analysis and validation of coil arrays for whole-brain mr-imaging at 7 T. In: Intl Microwave Symposium Digest 2007, Honolulu, HI, 2007. IEEE-MTT-S. p 2217-2220.
38. 1 inhomogeneity. Magn Reson Med 2006;55:719-724.
39. Brunner DO, Pruessmann KP. Increasing bandwidth of spatially selective transmit sense pulses using constrained optimization. In: Proc Intl Soc Mag Reson Med 2008, Toronto, 2008. p 635.
40. Setsompop K, Wald LL, Alagappan V, Gagoski BA, Adalsteinsson E. Magnitude least squares optimization for parallel radio frequency excitation design demonstrated at 7 tesla with eight channels. Magn Reson Med 2008;59:908-915. (Pubitemid 351501959)
41. Xu D, King KF, Zhu Y, McKinnon GC, Liang Z-P. A noniterative method to design large-tip-angle multidimensional spatially-selective radio frequency pulses for parallel transmission. Magn Reson Med 2007;58:326-334. (Pubitemid 47267650)
42. Greenbaum A, Strakos Z. Predicting the behavior of finite precision lanczos and conjugate gradient computations. SIAM J Matrix Anal Appl 1992;13:121-137.
43. Zelinski AC, Wald LL, Setsompop K, Alagappan V, Gagoski BA, Goyal VK, Hebrank F, Fontius U, Schmitt F, Adalsteinsson E. Comparison of three algorithms for solving linearized systems of parallel excitation RF waveform design equations: Experiments on an eight-channel system at 3 tesla. Conc Magn Reson B 2007;31B:176-190.
44. Xu D, King KF, Zhu Y, McKinnon GC, Liang Z-P. Designing multichannel, multidimensional, arbitrary flip angle rf pulses using an optimal control approach. Con Mag Reson Part B-Magnetic Resonance Engineering 2008;59:547-560. (Pubitemid 351348226)
45. Mao W, Wang Z, Smith MB, Collins CM. Calculation of SAR for transmit coil arrays. Con Mag Reson Part B-Magnetic Resonance Engineering 2007;31:127-131.
46. 1 field homogeneity for human MRI via rigorous FDTD approach. J Magn Reson Imaging 2007;25:1235-1247.