# Spectral analysis fourier series

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*2020-02-17 12:47*

FFT spectral analysis. Frequency analysis is just another way of looking at the same data. Instead of observing the data in the time domain, frequency analysis decomposes time data in the series of sinus waves. Fast Fourier transform is a mathematical method for transforming a function of time into a function of frequency.Spectral Analysis Idea: decompose a stationary time series Xt into a combination of sinusoids, with random (and uncorrelated) coefcients. Just as in Fourier analysis, where we decompose (deterministic) functions into combinations of sinusoids. This is referred spectral analysis fourier series

Spectrum Analysis and Filtering 5. Fourier Transform and Spectrum Analysis Fourier series help us to find the spectrum of periodic signals Most signals are not periodic Speech, audio, etc. Need another tool to find the spectrum of nonperiodic (aperiodic) signals Fourier Transform