Implementation of Low-Pass Fractional Filtering for the Purpose of Analysis of Electroencephalographic Signals

Vital Sign Monitoring in Car Seats Based on Electrocardiography, Ballistocardiography and Seismocardiography: A Review

“…Analysis of EEG signals is a very complex task which is even more difficult when the main system has to communicate with other various subsystems to source data or maintain proper [ 76 , 105 , 106 , 107 ]. That is due to the non-stationary character of these signals, their susceptibility to various artifacts (external and internal) and other disturbances [ 76 , 106 , 107 ].…”

“…Analysis of EEG signals is a very complex task which is even more difficult when the main system has to communicate with other various subsystems to source data or maintain proper [ 76 , 105 , 106 , 107 ]. That is due to the non-stationary character of these signals, their susceptibility to various artifacts (external and internal) and other disturbances [ 76 , 106 , 107 ]. The EEG signal is usually analyzed and evaluated in various frequency spectra: Delta rhythm (0.5 ≤ f < 4 Hz) is a symptom of deeper stages of sleep; Theta rhythm (4 Hz ≤ f < 8) is typically present in the initial stages of sleep; Alpha rhythm (8 Hz ≤ f ≤ 13) is the main manifestation of the resting brain activity, while Beta rhythm (13 < f < 30 Hz) is present in nervous or anxious subjects.…”

Comparison of Smoothing Filters in Analysis of EEG Data for the Medical Diagnostics Purposes

“…The authors of this work are planning to apply non-integer order filters and to compare them with the above-mentioned filters with fractional filters. Non-integer order filtering implementation in the analysis of biomedical data is still an innovative and uncommon idea [3,4], but the theoretical background of fractional systems has a much longer history [8,53]. At first, it was mentioned in a letter to L'Hospital in 1695.…”

“…The first contributions to the topic were made already in the 18th century by Euler and Lagrange and the first studies on it were performed in the 19th century by Liouville, Riemann and Holmgren [54]. The theoretical basis of non-integer order filters has been very well documented in various publications (such as inter alia: [55]), but its use in bio-medical field is still new and not fully discovered [8,53,56].…”

“…The use of non-integer filters in the processing of biomedical signals is becoming more and more popular [3,4,8,53,[56][57][58]. This is especially in regards of analysis of EEG, EMG or ECG), as it was mentioned above [13,14,56].…”