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Updated: Oct 20, 2025

Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
Generating spiral gradient waveforms with a compact frequency spectrum
James G Pipe1, Daniel D Borup2
1Department of Radiology, Mayo Clinic, Rochester, MN, USA.
Purpose:
To generate efficient gradient waveforms for spiral MRI which mitigate the high-frequency attenuation inherent in gradient systems.
Theory And Methods:
Spiral MRI has many clinical advantages, including high temporal and SNR efficiency. One of the challenges for robust spiral MRI is a high sensitivity to imperfections in the gradient system, which requires some form of correction in order to map data correctly in k-space. A previous numerical algorithm for generating spiral gradient waveforms was modified to reduce its high-frequency content with minimal increase in waveform duration.
Results:
Examples are shown of compact frequency gradient waveforms. Software implementing the algorithm is made available.
Conclusion:
An algorithm to produce gradient waveforms with a compact frequency spectrum is described. This algorithm results in greatly reduced overall error and better compatibility with gradient systems than the original algorithm from which it was derived.
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