A Novel Wavelet-base Algorithm for Reconstruction of the Time-Domain Impulse Response from Band-limited Scattering Parameters with Applications
Signal Processing
2024-12-16 v1 Information Theory
math.IT
Abstract
In this paper, we introduce a novel waveletbased algorithm for reconstructing time-domain impulse responses from band-limited scattering parameters (frequencydomain data) with a particular focus on ship hull applications. We establish the algorithm and demonstrate its convergence, as well as its efficiency for a class of functions that can be expanded as exponential functions. We provide simulation results to validate our numerical results.
Cite
@article{arxiv.2412.09633,
title = {A Novel Wavelet-base Algorithm for Reconstruction of the Time-Domain Impulse Response from Band-limited Scattering Parameters with Applications},
author = {Shantia Yarahmadian and Maryam Rahmani and Michael Mazzola},
journal= {arXiv preprint arXiv:2412.09633},
year = {2024}
}