Applications of the STFT

This chapter briefly tours selected applications involving spectral audio signal processing, with associated examples in matlab. Related historical background and techniques appear in Appendix G. Therefore, this chapter can focus more on practical methods known to the author regarding applications of the Short-Time Fourier Transform (STFT) (defined and discussed in §7.1). The following applications are considered:

• fundamental frequency estimation from spectral peaks
• cross-synthesis
• spectral envelope extraction by cepstral windowing
• spectral envelope extraction by linear prediction
• sinusoidal modeling of audio signals
• sines+noise modeling
• sines+noise+transients modeling
• chirplet modeling
• time-scale modification
• frequency scaling
• FFT filter banks