On the noise correlation matrix for multiple radio frequency coils

Magnetic Resonance in Medicine

Volumn 58, Issue 2, 2007, Pages 218-224

  Brown, Ryan ^a,b   Wang, Yi ^a,b,c   Spincemaille, Pascal ^a   Lee, Ray F ^d  

^a WEILL CORNELL MEDICAL COLLEGE   (United States)

^b Weill Cornell Graduate School of Biomedical Sciences   (United States)

^c Cornell University   (United States)

^d NEW YORK UNIVERSITY   (United States)

Author keywords

Coil coupling; Fluctation dissipation theorem; MRI phased array; Mutual impedance; Noise correlation

Indexed keywords

ANTENNA PHASED ARRAYS; ELECTRIC IMPEDANCE MEASUREMENT; INDUCTANCE; INVERSE PROBLEMS; KRAMERS-KRONIG RELATIONS; SPECTROSCOPY; STATISTICAL PHYSICS;

CANONICAL PARTITION FUNCTION; COIL COUPLINGS; FLUCTATION-DISSIPATION THEOREM; FLUCTUATION DISSIPATION THEOREM; MULTIPLE RECEIVER COILS; MUTUAL IMPEDANCE; NOISE CORRELATION; NOISE CORRELATION MATRIXES;

TRANSFER MATRIX METHOD;

ARTICLE; IMPEDANCE; NOISE; NUCLEAR MAGNETIC RESONANCE IMAGING; RADIOFREQUENCY; SIGNAL NOISE RATIO; STATISTICAL ANALYSIS; THEORETICAL STUDY;

EID: 34547936932     PISSN: 07403194     EISSN: 15222594     Source Type: Journal    
DOI: 10.1002/mrm.21324     Document Type: Article

References (30)

1. Roemer PB, Edelstein WA, Hayes CE, Souza SP, Mueller OM. The NMR phased array. Magn Reson Med 1990;16:192-225.
2. Pruessmann KP, Weiger M, Scheidegger MB, Boesiger P. SENSE: sensitivity encoding for fast MRI. Magn Reson Med 1999;42:952-962.
3. Sodickson DK, Manning WJ. Simultaneous acquisition of spatial harmonics (SMASH): ultra-fast imaging with radiofroquency coil arrays. Magn Res Med 1997;38:591-603.
4. Ohliger MA, Ledden PJ, McKenzie CA, Sodickson DK. Effects of inductive coupling on parallel MR image reconstructions. Magn Res Med 2004;52:628-639.
5. Weiger M, Pruessmann KP, Leussler C, Roschmann P, Boesiger P. Specific coil design for SENSE: a six-element cardiac array. Magn Reson Med 2001;45:495-504.
6. Nyquist H. Thermal agitation of electric charge in conductors. Phys Rev 1928;32:110-113.
7. Redpath TW. Noise correlation in multicoil receiver systems. Magn Res Med 1992;24:85-89.
8. Jesmanowicz A, Hyde JS, Froncisz W, Kneeland JB. Noise correlation. Magn Reson Med 1991;20:36-47.
9. Harpen MD. Noise correlations exist for independent RF coils. Magn Res Med 1992;23:394-397.
10. Carlson JW. Power deposition and noise correlation in NMR samples. Magn Res Med 1989;10:399-403.
11. Redpath TW. Signal-to-noise ratio in MRI. Br J Radiol 1998;71:704-707.
12. Landau LD, Lifshitz EM, Pitaevskii LP. Course of theoretical physics, vol. 5. Statistical physics, part I. Oxford: Pergamon; 1984.
13. Einstein A. Investigations on the theory of the Brownian movement. Mineola, NY: Dover Publications; 1956.
14. Callen HB, Welton TA. Irreversibility and generalized noise. Phys Rev 1951;83:34-40.
15. Landau LD, Lifshitz EM, Pitaevskii LP. Course of theoretical physics, vol. 9. Statistical physics, part II: theory of the condensed state. Oxford: Pergamon; 1980.
16. Wright SM, Wald LL. Theory and application of array coils in MR spectroscopy. NMR Biomed 1997;10:394-410.
17. Landau LD, Lifshitz EM, Pitaevskii LP. Course of theoretical physics, vol. 8. Electrodynamics of continuous media. Oxford: Pergamon; 1984.
18. Wang J. A novel method to reduce the signal coupling of surface coils for MRI. In: Proceedings of the 4th Annual Meeting of ISMRM, New York, NY, USA, 1996 (Abstract 1434).
19. Duensing GR, Brooker HR, Fitzsimmons JR. Maximizing signal-to-noise ratio in the presence of coil coupling. J Magn Reson B 1996;111:230-235.
20. Kittel C. Elementary statistical physics. New York: Wiley; 1958.
21. Feynman R, Leighton R, Sands M. Feynman's lectures on physics, vol. 1. Reading, MA: Addison-Wesley; 1977.
22. Pozar DM. Microwave engineering. New York: Wiley; 2005.
23. Lee RF, Giaquinto RO, Hardy CJ. Coupling and decoupling theory and its application to the MRI phased array. Magn Reson Med 2002;48:203-213.
24. Grover FW. Inductance calculations: working formulas and tables. New York: D. Van Nostrand Co.; 1946.
25. Onsager L. Reciprocal relations in irreversible processes. II. Phys Rev 1931;38:2265-2279.
26. Lorrain P, Corson DR. Electromagnetic fields and waves. San Francisco: W.H. Freeman Co.; 1970.
27. Haacke EM, Brown RW, Thompson MR, Venkatesan R. Magnetic Resonance Imaging - physical principles and sequence design. New York: Wiley-Liss; 1999.
28. Chen W, Liang R. A general n-port network reciprocity theorem. IEEE Trans Educ 1990;33:360-362.
29. Hayes CE, Edelstein WA, Schenck J, Mueller OM, Eash M. An efficient, highly homogenous radiofrequency coil for whole-body NMR imaging at 1.5T. J Magn Reson 1985;63:622-628.
30. Fish JP. Electronic noise and low noise design. New York: McGraw-Hill; 1994.