Differencing Algorithm for Exponentially Decaying Sinusoid Analysis
Larry George Shindel · American Journal of EEG Technology · 1989
.Exponentially decaying sinusoid waveforms have been used to model oscillatory brain electrical activity. This is mathematically based on properties at the cell membrane level and on the interactions of masses of interacting excitatory and inhibitory neurons. Two parameters of this waveform, wavelength and decay, have been used to recognize individual waveform components, and to distinguish and quantify the effects of variables such as attention, arousal, drugs, and age.Clinical and wider research exploration of these parameters has been impeded by absence of an efficient means of waveform analysis. This paper introduces related algorithms to solve this problem. Two methods which are frequency sensitive, in effect either sharpening or smoothing raw data, and which are already in use, can be independently rederived. Further insight is thus gained into differencing related spike detection, and the Hanning 3-point smooth algorithm.