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Master of Science (M.S.)
Year Degree Awarded
Month Degree Awarded
Sensitivity analysis, PDE, Parameter estimation, Wavelet transform, Parameter Signatures, NLS
A method of sensor location selection is introduced for distributed parameter systems. In this method, the sensitivities of spatial outputs to model parameters are computed by a model and transformed via continuous wavelet transforms into the time-scale domain to characterize the shape attributes of output sensitivities and accentuate their diﬀerences. Regions are then sought in the time-scale plane wherein the wavelet coeﬃcient of an output-sensitivity surpasses all the others’ as indication of the output sensitivity’s uniqueness. This method yields a comprehensive account of identifiability each output provides for the model parameters as the basis of output selection. This output selection strategy is evaluated for a numerical case of pollutant dispersion by advection and discussion in a two-dimensional area.