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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Shinnar–Le Roux algorithm ： ウィキペディア英語版 Shinnar–Le Roux algorithm (詳細はmagnetic resonance imaging radio frequency pulse sequence design. Selective pulses are used in MRI to isolate a slice through the subject. Given a desired magnetization profile, determining the RF pulse that will produce it is not trivial. At low tip angles, the RF excitation waveform can be approximated by the inverse Fourier Transform of the desired frequency profile. The RF pulse design problem is generally nonlinear due to the non-linearity of the Bloch equations. A direct solution to the pulse design problem was independently proposed by Shinnar 〔M. Shinnar, L. Bolinger, and J. S. Leigh, “Use of finite impulse response filters in pulse design,” in Proc. 7th SMRM, Aug. 1988, p. 695.〕〔M. Shinnar, L. Bolinger, and J. S. Leigh, “Synthesis of soft pulses with specified frequency responses,” in Proc. 7th SMRM, Aug. 1988, p. 1040.〕〔M. Shinnar, S. Eleff, H. Subramanian, and J. S. Leigh, “The synthesis of pulse sequences yielding arbitrary magnetization vectors,” Magnet. Resonance Med., vol. 12, pp. 74-80, Oct. 1989.〕〔M. Shinnar, L. Bolinger, and J. S. Leigh, “The use of finite impulse response filters in pulse design,” Magnetic Resonance Med., vol. 12, pp. 75-87, Oct. 1989.〕 and Le Roux 〔P. Le Roux, “Exact synthesis of radio frequency waveforms,” in Proc. 7th SMRM, Aug. 1988, p. 1049.〕 based on a discrete approximation to the spin domain version of the Bloch equations. == Theory == The Shinnar-LeRoux algorithm simplifies the solution of the Bloch equations to the design of two polynomials, which can be solved using well-known digital filter design algorithms.〔 :$()\backslash Longleftarrow\; SLR\; \backslash Longrightarrow\; ()$ Where ''N'' is the number of bins, or hard pulse divisions that you wish to approximate with, and ''φ(t)'' is the phase of the ''B1(t)'' waveform at a given time ''t''. The mapping of the RF pulse into two complex polynomials will be denoted as the Forward SLR Transform. Given two polynomials $()$ the SLR transform can be inverted to calculate the RF pulse the produces these polynomials. The order of the polynomials $()$ is $N-1$. A minimum phase $A\_N(z)$ results in a minimum energy RF pulse. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Shinnar–Le Roux algorithm」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.