25-Point Matrix Method for Improving the Precision of Surface Laplacian Potential
Ruxiang Xu · Nanotechnology and Precision Engineering · 2012
The source of bioelectrical signal can be accurately located by improving the precision of surface Laplacian potential,based on which the formula of calculating surface Laplacian potential by 25-point matrix method was theoretically derived in this paper,with truncation error not influenced by six-order derivative.This approach reaches the six-order estimation of surface Laplacian potential.At the same time,the simulation contrastive experiments show that,when the measurement position is different,the measurement result by the 25-point matrix method was improved by 18.08%—27.30% compared with that by the traditional nine-point method.Therefore,both theoretical analysis and experimental verification show that the precision of the 25-point matrix method is improved significantly compared with that of the existing methods reported in literatures.This method can provide a powerful tool for the research and clinical applications of brain cognition,gastrointestinal electricity and uterine muscle electricity.