A New Approach, to Signal Analysis in Electroencephalography

This paper describes the theoretical aspects of the work done in an Air Force research program on the analysis of electroencephalographic waveforms (brain waves). An analytical characterization of an electroencephalographic (eeg) time series is presented and a neurophysiological model is discussed for relating eeg waveshape to the response of neural populations. The mathematical theory is based on a statistical representation of the eeg signal. A system of signal analysis which may be implemented by measuring the location of zeros, extremals and points of inflection results from treating the individual rectified sections of the eeg signal as statistical distributions.