The FFT is one of the backbones of signal processing, allowing us to quickly transform a signal from time-domain to frequency-domain (and vice-versa via the inverse FFT). This allows us to analyze or manipulate the signal such as filtering, noise reduction, pitch detection or correction, time-stretching or even removing elements from the signal. The FFT
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Autocorrelation for Tempo Estimation
Automatic tempo estimation is a useful tool for musicians for the purposes of transcription and also for audio researchers as we can use the tempo of a piece of music to inform other types of analysis such as pitch detection or chord detection. Since musically significant events such as chord changes tend to occur on
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