### ASA 124th Meeting New Orleans 1992 October

## 3aPP7. Time-frequency representations of auditory signatures: Dynamic
signal models.

**Shelley E. Scruggs
**

**
Gregory H. Wakefield
**

**
**
*Dept. of Elec. Eng. and Comput. Sci., Univ. of Michigan, 1301 Beal Ave.,
Ann Arbor, MI 48109-2122
*

*
*
Signal theory provides a mathematical framework within which to pose
questions of representation. Such theory establishes the minimum conditions for
which signals can be represented uniquely, for example. Time-frequency
distributions are often used as representations of the temporally varying
spectral characteristics of acoustic signals. When one desires a correspondence
between the distribution of a signal and the auditory perception of that
signal, however, it is not clear how to proceed. Several researchers have
approached the auditory representation problem within the domain of
time-frequency distributions [M. D. Riley, Speech Time-Frequency
Representations (Kluwer Academic, Boston, 1989) and W. Heinbach, Acustica 67,
113--121 (1988)]. In the present paper, an alternative approach is provided
based on dynamic signal models and psychoacoustic spectral processing theory.
This approach is applied to characterizing acoustic transients such as
automotive starter sounds. A dynamic signal model is introduced and
experimental results are presented concerning the ability of this model to
uniquely characterize the signals of interest. Application of Terhardt's
Fourier t transform is also investigated [E. Terhardt, Acustica 57, 242--256
(1985)] and results are compared with other time-frequency distributions. [Work
supported by a Bell Communications Research graduate fellowship, the Ford Motor
Company, and a National Science Foundation PYI award.]