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The use of finite impulse response filters in pulse design
Author(s) -
Shinnar Meir,
Bolinger Lizann,
Leigh John S.
Publication year - 1989
Publication title -
magnetic resonance in medicine
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.696
H-Index - 225
eISSN - 1522-2594
pISSN - 0740-3194
DOI - 10.1002/mrm.1910120110
Subject(s) - impulse (physics) , pulse (music) , impulse response , finite impulse response , perturbation (astronomy) , pulse sequence , sequence (biology) , infinite impulse response , mathematics , computer science , control theory (sociology) , algorithm , pulse duration , acoustics , physics , digital filter , mathematical analysis , nuclear magnetic resonance , filter (signal processing) , telecommunications , artificial intelligence , optics , quantum mechanics , control (management) , detector , biology , computer vision , genetics , laser
We develop a new way of synthesizing pulse sequences with desirable frequency characteristics. By combining our previous results with techniques from the theory of finite impulse response filters, we can specify (1) the total duration of the pulse sequence, (2) the frequency ranges it is desired to perturb, (3) the desired perturbation, and (4) the frequency range it is desired not to perturb. We can then synthesize a hard pulse sequence which will yield that desired perturbation with the minimal possible error. The minimum error is global, in the sense that no pulse sequence can do better at achieving the specifications, and is not just a local minimum, around the pulse sequences close to the derived pulse. © 1989 Academic Press, Inc.