Spectral or Fourier Analysis

The modern methods of time series analysis are often used to simplify complicated waveforms such as EEG. Many industrial applications involve such methods as electric circuits, signal processing (television, radar, astronomy, etc.), and voice recognition. Most time series analyses are based on spectral (or Fourier) methods. Computers extract the amplitudes Anm and phases fnm associated with each data channel (m) and frequency (n) from the often complicated EEG, represented by Eq. (1). The computer "unwraps" the waveform Vm(t) to reveal its individual components. Such spectral analysis is analogous to the physical process performed naturally by atmospheric water vapor to separate light into its component colors. Each color is composed of electromagnetic waves within a narrow frequency band, forming rainbows.

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