Enhancing EEG Surface Resolution by Using a Combination of Kalman Filter and Interpolation Method

Abstract

Abstract-With recent progress in the medical signals processing, the EEG allows to study the Brain functioning with a high temporal and spatial resolution. This approach is possible by combining the standard processing algorithms of cortical brain waves with characterization and interpolation methods. First, a new vector of characteristics for each EEG channel was introduced using the Extended Kalman filter (EKF). Next, the spherical spline interpolation technique was applied in order to rebuild other vectors corresponding to virtual electrodes. The temporal variation of these vectors was restored by applying the EKF. Finally, the accuracy of the method has been estimated by calculating the error between the actual and interpolated signal after passing by the characterization method with the Root Mean Square Error algorithm (RMSE).

Band-limited functions, and Time-Frequency Analysis of Non-Stationary Signals: Application to Bioelectrical Signals Analysis

“…Considered as signals, EEG are well known to be non-linear and non-stationary ( [11], [54], [67], [114]). Several strategies, methods, and techniques, including time-frequency-type analyses, have been designed and/or applied to the study of EEG signals and its applications ( [71], [127], [44], [48], [5], [102], [46], [125], [95], [86], [100], [59], [56], [66], [38], [7], [24], [85], [104], [65], [64], and references therein). Particularly, the HSA, EMD and HHT methodologies have been applied to the study of EEG signals ( [70], [92], [103], [80], [51], [124], [87], [43], [57], [58]).…”