Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Hammerstein systems represent the coupling of a static nonlinearity and a linear time invariant (LTI) system. The identification problem of such systems has been a focus of research during a long time as it is not a trivial task.  a methodology for identifying Hammerstein systems is proposed. To achieve this, a combination of two porful techniques is used, namely,  combine Least Squares Support Vector Machines (LS-SVM) and the Best Linear Approximation (BLA). First, an approximation to the LTI block is obtained through the BLA method. Then, the estimated coefficients of the transfer function from the LTI block are included in a LS-SVM formulation for modeling the system. The results indicate that a good estimation of the underlying nonlinear system can be obtained up to a scaling factor.
['Ricardo Castro-Garcia', 'Koen Tiels', 'Johan Schoukens', 'Johan A. K. Suykens']
I am writing a research paper on a idea Incorporating Best Linear Approximation within LS-SVM-based Hammerstein System Identification
[{"from": "human", "value": "I am writing a research paper on a idea Incorporating Best Linear Approximation within LS-SVM-based Hammerstein System Identification"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Hammerstein systems represent the coupling of a static nonlinearity and a linear time invariant (LTI) system. The identification problem of such systems has been a focus of research during a long time as it is not a trivial task.  a methodology for identifying Hammerstein systems is proposed. To achieve this, a combination of two porful techniques is used, namely,  combine Least Squares Support Vector Machines (LS-SVM) and the Best Linear Approximation (BLA). First, an approximation to the LTI block is obtained through the BLA method. Then, the estimated coefficients of the transfer function from the LTI block are included in a LS-SVM formulation for modeling the system. The results indicate that a good estimation of the underlying nonlinear system can be obtained up to a scaling factor."}]