A reordering system for reducing respiratory artifacts in magnetic resonance images. The respiration cycle of the patient is measured and divided into N exclusive intervals. A different encoding amplitude is assigned to each interval in a first look-up table (LUT). The encoding pulses are selected by the first LUT responsive to measured respitory intervals. After M encoding pulses have been selected, a new LUT is constructed from the unused encoding pulse amplitudes using a new number (N-M) intervals. The new LUT is then used for another given number of encoding pulses. Other new LUT's are constructed after given numbers of encoding pulses are used until all encoding pulses are used.
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