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Some conjectures for cogwheel phase cycling.

Colan E Hughes1, Marina Carravetta, Malcolm H Levitt

  • 1Department of NMR Based Structural Biology, Max-Planck-Institute for Biophysical Chemistry, Am Fassberg 11, 37077 Göttingen, Germany.

Journal of Magnetic Resonance (San Diego, Calif. : 1997)
|March 26, 2004
PubMed
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This study introduces new techniques for generating cogwheel phase cycles, which are shorter than traditional nested cycles. These methods aim to simplify the search for optimal cogwheel solutions, reducing computational effort.

Area of Science:

  • Optimization techniques
  • Computational mathematics

Background:

  • Traditional nested phase cycles are common but can be lengthy.
  • Finding optimal solutions for cogwheel phase cycles is challenging.

Purpose of the Study:

  • To present novel techniques for generating cogwheel phase cycles.
  • To reduce the computational search space for optimal cogwheel solutions.

Main Methods:

  • Development of specific techniques and conjectures for cycle generation.
  • Testing conjectures across a wide range of cases.

Main Results:

  • The proposed techniques facilitate the generation of cogwheel phase cycles.
  • Significant reduction in the need for extensive computer searches is demonstrated.

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Conclusions:

  • The presented methods offer a more efficient approach to cogwheel phase cycle generation.
  • Conjectures, while unproven, show practical efficacy in numerous applications.