Lysaght, Thomas and Timoney, Joseph and Lazzarini, Victor
Signal Synthesis from the Modal Distribution Using Minimum Phase.
IET International Conference on Information and Communications Technologies (IETICT 2013).
IET, pp. 8-13.
The Modal Distribution (MD) is a time-frequency distribution
specifically designed to model the quasi-harmonic, multisinusoidal,
nature of music signals and belongs to the Cohen
general class of time-frequency distributions. Signal synthesis
from bilinear time-frequency representations such as the
Wigner distribution has been based on methods which exploit
an outer-product interpretation of these distributions [1, 2].
Methods of synthesis from the MD based on a sinusoidalanalysis-
synthesis procedure using estimates of instantaneous
frequency and amplitude only have been investigated in [3, 4,
5]. However, the modal distribution is basically a subsampled
version of the smoothed pseudo Wigner distribution and thus
does not lend itself easily to direct inversion such as in the
outer product methods mentioned above. Furthermore, the
modal distribution is real, and the above sinusoidal-analysissynthesis
methods rely on phase estimated as the integral of
instantaneous frequency. In this paper, we show that in some
cases, this synthesis results in a roughness or phasiness in the
synthesized signal and demonstrate that using minimum
phase derived from the magnitude spectrum of the
distribution produces a timbre closer to the original in the
case of certain brass sounds. Suggestions for future work are
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