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Fourier Techniques for Sound Visualization

Abstract

Many mathematical techniques have been developed for signal analysis. The best-known -- technique is the Fourier transform, which receives a signal and outputs the frequency spec- -- trum. If we add a window function to the Fourier transform we can output a spectrogram, -- which is a plot of frequency versus time for the signal. The nal technique, the continuous -- wavelet transform, simultaneously translates and dilates a window function while applying -- Fourier transforms in order to produce a scalogram - a plot similar to a spectrogram that has the frequency axis plotted logarithmically. This produces a plot of perceived pitch rather -- than frequency. For my project, I investigate each of these techniques and produce MATLAB -- code that will generate each of them for given signals

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