Analytic assessment of Laplacian estimates via novel variable interring distances concentric ring electrodes
Document Type
Conference Proceeding
Date of Original Version
10-13-2016
Abstract
Noninvasive concentric ring electrodes are a promising alternative to conventional disc electrodes. Currently, superiority of tripolar concentric ring electrodes over disc electrodes, in particular, in accuracy of Laplacian estimation has been demonstrated in a range of applications. In our recent work we have shown that accuracy of Laplacian estimation can be improved with multipolar concentric ring electrodes using a general approach to estimation of the Laplacian for an (n + 1)-polar electrode with n rings using the (4n + 1)-point method for n ≥ 2. This paper takes the next step toward further improving the Laplacian estimate by proposing novel variable inter-ring distances concentric ring electrodes. Derived using a modified (4n + 1)-point method, linearly increasing inter-ring distances tripolar (n = 2) and quadripolar (n = 3) electrode configurations are analytically compared to their constant inter-ring distances counterparts using coefficients of the Taylor series truncation terms. Obtained results suggest that increasing inter-ring distances electrode configurations may decrease the truncation error of the Laplacian estimation resulting in more accurate Laplacian estimates compared to respective constant inter-ring distances configurations. For currently used tripolar electrode configuration the truncation error may be decreased more than two-fold while for the quadripolar more than seven-fold decrease is expected.
Publication Title, e.g., Journal
Proceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society EMBS
Volume
2016-October
Citation/Publisher Attribution
Makeyev, Oleksandr, and Walter G. Besio. "Analytic assessment of Laplacian estimates via novel variable interring distances concentric ring electrodes." Proceedings of the Annual International Conference of the IEEE Engineering in Medicine and Biology Society EMBS 2016-October, (2016). doi: 10.1109/EMBC.2016.7591132.