Neural data-analysis Workshop

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Presentation transcript:

Neural data-analysis Workshop Ben-Gurion University of the Negev Dept. of Brain and Cognitive Sciences Neural data-analysis Workshop

Fourier Analysis Fourier analysis represents a signal in the frequency domain rather than in the time domain. The Fourier representation is invertible, so one can recover the original signal. This representation reveals important information about the signal and is the basis for many subsequent analyses.

Fourier Analysis The general idea is that a signal can be decomposed into a linear combination of sine and cosine wave functions.

Fourier Series Fourier series makes use of the orthogonality relationships of the sine and cosine functions

Examples

Power Spectrum The power spectrum is square of the amplitude at each frequency (the square of the cosine coefficient plus the square of the sine coefficient). It reflects the contribution of each frequency to the signal. It ignores the precise temporal structure.

Extracting Individual Alpha Frequency