Fourier-time-transformation (ftt), analysis of sound and auditory perception
pp. 299-329
in: Rolf Bader (ed), Sound - perception - performance, Berlin, Springer, 2013Abstract
The Fourier/time transformation (FTT) has been proposed by Ernst Terhardt (1985, 1992, 1998) as a tool for analysis and representation of audio signals such as speech and music. Terhardt (1985) issued the FTT in the context of an updated interpretation of the Fourier transform (FT) and with the aim to develop a transform suited to perform time/frequency analysis comparable to that of the mammalian auditory system. FTT is re-examined in this chapter and some other methods relevant for musical acoustics and psychoacoustics such as the short-time Fourier transform (STFT), autoregressive spectral modeling (AR) and Wavelet transform (WT) are presented in a brief survey for comparison, and are illustrated by some examples. Different approaches to time/frequency analysis are also viewed as to their power with respect to the so-called uncertainty product Δt Δf.