Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  deals with a verification method of diagnosis of analog piecewise linear circuits based on the homotopy approach. Homotopy maps one function f(x) into another g(x) by changing the homotopic parameter t/spl isin/[0, 1]. The homotopic path shows the passing way of some point x/sub 0/ from the function domain f(x) to an appropriate point x* of the function g(x). The idea of the method relies on the application of function f(x) to the description of a circuit under diagnosis in the nonfaulty state and of function g(x) to the description of a faulty circuit. The homotopic path is used for monitoring the change of some element parameter p/sub j/ from nominal to faulty value. In the presented method, the node homotopic paths are used for verification of fault hypotheses. The assumed hypothesis is true if different node homotopic paths hit the same end point. The essential feature of the method is the small number of hypothesis verifications. This method gives the possibility of fault localization as ll as fault identification. The method is illustrated by the example of single-fault diagnosis of a one-stage transistor amplifier.
['A. Robotycki', 'R. Zielonko']
I am writing a research paper on a idea Fault diagnosis of analog piecewise linear circuits based on homotopy
[{"from": "human", "value": "I am writing a research paper on a idea Fault diagnosis of analog piecewise linear circuits based on homotopy"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely:  deals with a verification method of diagnosis of analog piecewise linear circuits based on the homotopy approach. Homotopy maps one function f(x) into another g(x) by changing the homotopic parameter t/spl isin/[0, 1]. The homotopic path shows the passing way of some point x/sub 0/ from the function domain f(x) to an appropriate point x* of the function g(x). The idea of the method relies on the application of function f(x) to the description of a circuit under diagnosis in the nonfaulty state and of function g(x) to the description of a faulty circuit. The homotopic path is used for monitoring the change of some element parameter p/sub j/ from nominal to faulty value. In the presented method, the node homotopic paths are used for verification of fault hypotheses. The assumed hypothesis is true if different node homotopic paths hit the same end point. The essential feature of the method is the small number of hypothesis verifications. This method gives the possibility of fault localization as ll as fault identification. The method is illustrated by the example of single-fault diagnosis of a one-stage transistor amplifier."}]