### Fourier-t transformation - FTT

The concept of Fourier-t transformation, FTT, emerged from my
basic considerations on Fourier-transformation
[68]. As opposed to FFT, the FTT can
be readily made aurally adequate, i.e., with respect to the
scaling of frequency and of analysis bandwidths. Because the time
window used in FTT is asymmetrical, its BxT product is much
smaller than that of FTT. Moreover, FTT can efficiently be
computed by a recursive algorithm, such that a frequency function
is obtained that is quasi-continuous both in frequency and time [69], [75],
[104] p. 78-86.

Both in its original layout [68],
[104], and in a modified version (Schlang & Mummert
1990a, Schlang 1989a)
the FTT was employed in various types and applications of aurally
adequate signal analysis (Baumann
1991b, 1991c, 1992a, 1994b, 1995a, Heinbach 1986a, 1987a, 1988a, Horn 1998a, Mummert 1990a, 1991a, 1998a, Rücker 1997a, 1998a, Valenzuela 1997a, 1998a, 1998b, Wartini et al. 1995a, 1995b, 1996a, Wartini & Rücker
1994a).

Author: Ernst Terhardt terhardt@ei.tum.de - Mar 9 2000

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