### ASA 127th Meeting M.I.T. 1994 June 6-10

## 3aPA4. Time-frequency analysis of model based pulse scattering from a
rough fluid-elastic interface.

**Garner C. Bishop
**

**
Quyen Huynh
**

**
**
*Naval Undersea Warfare Ctr. Div. Newport, Newport, RI 02840
*

*
*
A null field T-matrix formalism for plane-wave scattering from a doubly
infinite fluid--solid interface with doubly periodic surface roughness [Bishop
and Smith, J. Acoust. Soc. Am. 94, 1560--1583 (1993)] is extended to include
scattering of broadband acoustic pulses. The scattered pressure field is
expressed in terms of a Fourier integral over the spectra of the incident pulse
and the T matrix. Time series are calculated for the scatter of a Gaussian
amplitude-modulated linear frequency-modulated pulse from a fluid--elastic
interface with sinusoidal and triangular roughness. The time series are
analyzed using short time Fourier, Wigner, wavelet packet, and local cosine T-F
transforms. The results are displayed graphically in a T-F plot in which the
T-F plane is covered by rectangular boxes of dimensions
(Delta)tx(Delta)(omega). These results are used to evaluate the ability of each
of the transforms to address inverse scattering and identification problems. It
is shown that the T-F analysis provided by the wavelet packet may be used to
distinguish between the scatter from surfaces of different roughness and is
superior to the T-F analysis provided by both the short time Fourier and Wigner
transforms.