A Novel Wavelet-base Algorithm for Reconstruction of the Time-Domain Impulse Response from Band-limited Scattering Parameters with Applications

TL;DR

This paper presents a new wavelet-based algorithm that accurately reconstructs time-domain impulse responses from band-limited frequency data, specifically applied to ship hull analysis, demonstrating convergence and efficiency.

Contribution

The paper introduces a novel wavelet algorithm for impulse response reconstruction from band-limited data, with proven convergence and application to ship hull scenarios.

Findings

Algorithm converges reliably for exponential function classes.

Simulation results validate the numerical accuracy.

Efficient reconstruction from limited frequency data.

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.