EEG analysis using instantaneous frequency

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This paper describes a method for frequency analysis of EEG using instantaneous frequency. Since instantaneous frequency is the phase transition with respect to time, by this method, it is possible to represent the characteristics of EEG and of evoked responses in the instantaneous frequency region. The envelope a(t) and the instantaneous frequency fi(t) of EEG are quantitatively calculated from the analytic signal, which is defined as s(t)+js(t), where s(t)is the EEG and S(t) is the Hilbert transform of s(t). In order to examine the above possibility, the a(t) and fi(t) are obtained and used for studying characteristics of EEG. Experiments are done for studying the following EEG data obtained from the healthy subjects; the natural EEGs, the evoked responses to flash light stimulus, and the evoked responses elicited by constant current stimulus. The following results were obtained from the experiments. From the natural EEG analysis, it is observed that the values of the instantaneous frequency signals are correspond to the phase transition, and it is confirmed that the fi(t)approximately gives the frequency of the component which has the biggest energy. From the evoked response analysis, we observe that the fi(t)can be utilized for analysis of the latencies of evoked components. Even when the data length is short, fi (t)is effective for time phase analysis because of its high resolving power with respect to data-length.
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EEG analysis using instantaneous frequency

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