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Study Materials

Introductory Material on Fourier Transforms

Karu, Z. Z. "Fourier Transforms." Chap. 16 in Signals and Systems Made Ridiculously Simple. ZiZi Press, 1995.

Miscellaneous Useful Materials

Haacke, Brown, Thompson and Venkatesan. Chapters from Magnetic Resonance Imaging: Physical Principles and Sequence Design.

  • Chap. 1: "Magnetic Resonance Imaging: A Preview."
  • Chap. 2: "Clasical Nucleus in Magnetic Field."
  • Chap. 3: "Rotating Reference Frames and Resonance."
  • Chap. 4: "Magnetization, Relaxation and the Bloch Equation."
  • Chap. 41: "MRI I: The Quantum View of Nuclear Magnetic Resonance Imaging."
  • Chap. 42: "MRI II: The Classical View of Nuclear Magnetic Resonance Imaging."
  • Chap. 43: "MRI III: Relaxation Times, Pulse Sequences, and Image Contrast."
  • Chap. 44: "MRI IV: Imaging."

Brigham, E. O. Chapters from The Fast Fourier Transform and its Applications.

  • Chap. 2: "The Fourier Transform."
  • Chap. 3: "Fourier Transform Properties."

Kimmich, R. Chapters from NMR Tomography, Diffusometry, Relaxometry.

  • Chap. 24: "Survey."
  • Chap. 25: "Fundamentals of NMR Imaging."

Moonen, C. T. W., and P. A. Bandettini. Chapters from Functional MRI. 1999.

  • Chap. 11: "Basic Theoretical Models of BOLD Signal Change." R. M. Weisskoff.
  • Chap. 13: "Echo-Planar Imaging and Functional MRI." M. S. Cohen.
  • Chap. 16: "Physiological Noise: Strategies for Correction." P. Jezzard.

Hinshaw, W. S., and A. H. Lent. "An Introduction to NMR Imaging: From the Bloch Equation to the Imaging Equation." IEEE 71, no. 3 (March 1983): 112-113.

Mesulam, M. "From Sensation to Cognition." Brain 121 (1998): 1013-1052.