Ultrasonic signal decomposition through gradient descent assisted successive parameter estimation
File(s)
Published version
OA Location
Author(s)
Sarris, Georgios
Lowe, Michael JS
Huthwaite, Peter
Type
Journal Article
Abstract
Accurate decomposition of ultrasonic signals into simple pulses is valuable both for data compression purposes, as well as various medical and engineering applications. This work proposes a matching pursuit (MP) based algorithm that deploys a traditional successive parameter estimation approach, to express ultrasonic signals as sums of Gaussian pulses or chirplets. However, here the MP algorithm is aided by mathematical optimisation (gradient descent), which allows for significantly more precise parameter estimation. Our method is validated on simple input signals, and following its validation, its performance is assessed against cases of increasing complexity. The results not only suggest the accuracy and robustness of our approach, but also show how the proposed method performs well with signals containing strongly overlapping pulses, a challenge for existing methods. Results are also obtained from realistic signals generated through finite element modelling or experimental measurements. Finally, beyond the reconstruction results, we discuss and demonstrate how even complicated signals are well described through only a few parameters, eliminating the need for storing full time traces, allowing for effective ultrasonic data compression.
Date Issued
2026-01-15
Date Acceptance
2025-11-15
Citation
Mechanical Systems and Signal Processing, 2026, 243
ISSN
0888-3270
Publisher
Elsevier
Journal / Book Title
Mechanical Systems and Signal Processing
Volume
243
Copyright Statement
© 2025 The Authors. Published by Elsevier Ltd. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
License URL
Identifier
10.1016/j.ymssp.2025.113660
Subjects
COMPRESSION
DECONVOLUTION
ECHOES
Engineering
Engineering, Mechanical
EXPECTATION-MAXIMIZATION ALGORITHM
Gradient descent
LOCAL MINIMA
Matching pursuit
Science & Technology
Signal decomposition
Signal processing
Technology
THICKNESS
Ultrasonic data compression
Publication Status
Published
Article Number
113660
Date Publish Online
2025-11-28