Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  addresses numerical aspects of the adaptive Wave Filtering (WF) techniques. The WF methodology recently proposed in [1] is based on the conventional Kalman filter (KF) and its derivatives (with respect to unknown system parameters) that is known to be numerically unstable. To improve the numerical stability, the robust square-root variant has been designed in [2]. The so-called UD-based Kalman filtering is an alternative for improving the numerical properties when solving ill conditioned filtering problems. In addition, the UD approach is computationally efficient, having CPU costs that exceeds negligibly the conventional KF costs, that is also less than in the square-root approach. ,  develop the WF technique within robust UD-based approach and compare the new method with the conventional and square-root schemes. The results of numerical experiments favor the UD-based adaptive WF.
['Maria V. Kulikova', 'Julia V. Tsyganova', 'Innokentiy V. Semushin']
I am writing a research paper on a idea Adaptive wave filtering for marine vessels within UD-based algorithms
[{"from": "human", "value": "I am writing a research paper on a idea Adaptive wave filtering for marine vessels within UD-based algorithms"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  addresses numerical aspects of the adaptive Wave Filtering (WF) techniques. The WF methodology recently proposed in [1] is based on the conventional Kalman filter (KF) and its derivatives (with respect to unknown system parameters) that is known to be numerically unstable. To improve the numerical stability, the robust square-root variant has been designed in [2]. The so-called UD-based Kalman filtering is an alternative for improving the numerical properties when solving ill conditioned filtering problems. In addition, the UD approach is computationally efficient, having CPU costs that exceeds negligibly the conventional KF costs, that is also less than in the square-root approach. ,  develop the WF technique within robust UD-based approach and compare the new method with the conventional and square-root schemes. The results of numerical experiments favor the UD-based adaptive WF."}]