In this paper we characterize a symmetrizability property using the theory of output sets. Employing the basic properties of symmetric matrices and an efficient algorithm for systematic generation of output sets, an algorithm for testing the symmetrizability of a matrix is presented and illustrated.
An algorithm for eddy currents symmetrization and compensation
β Scribed by Yuval Zur; Saul Stokar
- Publisher
- John Wiley and Sons
- Year
- 1996
- Tongue
- English
- Weight
- 665 KB
- Volume
- 35
- Category
- Article
- ISSN
- 0740-3194
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β¦ Synopsis
Abstract
Eddy currents, which are induced in the magnet cryostat by pulsed magnetic field gradients in MRI, generate undesired eddy fields within the imaging volume. In this work, an automated and computerized algorithm to compensate these eddy currents is presented. The compensation is done in two steps: (i) Eddy fields are symmetrized electronically with an RβC filter, (ii) The symmetric eddy fields are compensated by another RβC filter. The compensation algorithm is iterative; therefore, errors that remain from one iteration are eliminated in the next iteration. Hence, the compensation process is very robust and accurate. It is shown that all the even harmonics of the eddy fields are eliminated by the symmetrization process, but the odd field harmonics remain. The amplitude of these odd harmonics can be significantly reduced if the gradient coils are designed so that the field they generate is spatially similar to the eddy fields.
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