Approximate extraction of late-time returns via morphological component analysis

Abstract

A fundamental challenge in acoustic data processing is to separate a measured time series into relevant phenomenological components. A given measurement is typically assumed to be an additive mixture of myriad signals plus noise whose separation forms an ill-posed inverse problem. In the setting of sensing elastic objects using active sonar, we wish to separate the early-time return from the object's geometry from late-time returns caused by elastic or compressional wave coupling. Under the framework of morphological component analysis (MCA), we compare two separation models using the short-duration and long-duration responses as a proxy for early-time and late-time returns. Results are computed for a broadside response using Stanton's elastic cylinder model as well as on experimental data taken from an in-air circular synthetic aperture sonar system, whose separated time series are formed into imagery. We find that MCA can be used to separate early and late-time responses in both the analytic and experimental cases without the use of time-gating. The separation process is demonstrated to be compatible with image reconstruction. The best separation results are obtained with a flexible, but computationally intensive, frame based signal model, while a faster Fourier transform based method is shown to have competitive performance.

Document Details

Document Type
Pub Defense Publication
Publication Date
May 01, 2023
Source ID
10.1121/10.0019415

Entities

People

  • Benjamin Cowen
  • Daniel C Brown
  • Geoff Goehle
  • J. Daniel Park
  • Thomas E. Blanford

Organizations

  • Office of Naval Research
  • Pennsylvania State University

Tags

Readers

  • Acoustical Oceanography.
  • Computer Vision.
  • Systems Analysis and Design