Restricted Isometry Property in Wave Buoy Analogy and Application to Multispectral Fusion🏆
Real-time sea state information plays a pivotal role in guiding decision-making for various marine operations, such as the installation and maintenance of offshore structures, ship-borne aircraft take-off and landing, and ocean shipping. The “Wave Buoy Analogy” (WBA) method, which utilizes ship motion responses to estimate the wave spectrum, has gained attention as it provides a cost-effective approach for almost real-time sea state estimation .
However, unlike standard spherical buoys, ships have complex geometries, and their hydrodynamic responses (i.e., Response Amplitude Operators, RAOs) are non-uniformly distributed across different frequencies and directions. This leads to a significant deterioration in WBA performance under specific sea states (e.g., when facing waves from certain directions or at high frequencies), potentially resulting in erroneous estimations that could misguide decision-making and lead to severe consequences .
To address the issue of WBA performance instability, this study introduces the “Restricted Isometry Property” (RIP) from compressed sensing theory into the WBA framework to mathematically explain the performance variation . The research proposes an RAO-driven assessment criterion, which relies solely on RAOs as input, to pre-evaluate the reliability of WBA performance in specific sea states before calculation.
Building upon this assessment criterion, the paper further proposes a multispectral fusion algorithm. Considering that marine operations often involve multiple ships, this algorithm can rationally amalgamate multiple estimates obtained from ships with different geometries and headings. By using the proposed assessment criterion as the basis for weight distribution, the algorithm can effectively restrain the influence of inaccurate estimates while amplifying the contribution of accurate ones, ultimately generating a comprehensive fused result that is more precise and robust than any single estimate . The algorithm’s effectiveness is demonstrated through numerical experiments.
The related research results were published in the international journal IEEE TRANSACTIONS ON INTELLIGENT TRANSPORTATION SYSTEMS under the title “Restricted Isometry Property in Wave Buoy Analogy and Application to Multispectral Fusion” . The first author of this paper is Taiyu Zhang from the Shenzhen International Graduate School, Tsinghua University , and the corresponding author is Zhengru Ren. This work was supported by the Shenzhen Science and Technology Program and the Natural Science Foundation of Guangdong Province, China . The paper has been selected as an ESI Highly Cited Paper.