Restricted Isometry Property in Wave Buoy Analogy and Application to Multispectral Fusion

Real-time sea state information plays a pivotal role in guiding decisions-making for various marine operations. Utilizing the wave buoy analogy (WBA) enables a cost-effective approach to estimating the wave spectrum through ship motion responses, providing an almost real-time estimation of the sea state. However, non-uniformly distributed response amplitude operators (RAOs) bring about performance deterioration in specific sea states, potentially leading to erroneous estimations that could misguide decision-making and result in severe consequences. Nevertheless, it is possible to combine multiple estimates in a rational manner to improve the robustness and accuracy of the WBA. In this study, the restricted isometry property is introduced to evaluate WBA performance. An RAO-driven assessment criterion is proposed to ascertain the reliability of estimates based solely on RAO input. Building upon this assessment criterion, we propose a multispectral fusion algorithm to amalgamate multiple estimates obtained from ships with different geometries and headings, ultimately generating a comprehensive fused result. Numerical experiments are described to demonstrate the proposed algorithm’s effectiveness.