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MATLAB for Neuroscientists, 2nd Edition by Nicholas G. Hatsopoulos, Adam Seth Dickey, Tanya I. Baker, Marc D. Benayoun, Michael E. Lusignan, Pascal Wallisch

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Chapter 11

Frequency Analysis Part I

Fourier Decomposition

Pascal Wallisch

This chapter introduces the most common method of decomposing a time series into frequency components, Fourier analysis. You will learn about the Fourier transform and the associated amplitude and phase spectra. The MATLAB® implementation of the fast Fourier transform (FFT), an efficient algorithm for calculating Fourier transformations, will be introduced and applied to the analysis of human speech sounds.

Keywords

Fourier analysis; Fourier transform; fast Fourier transform; Fourier series; power; phase analysis

11.1 Goals of this Chapter

This chapter introduces the most common method of decomposing a time series into frequency components, Fourier analysis. You will learn about ...

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