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Access Type

Campus Access

Document Type


Degree Program

Mechanical Engineering

Degree Type

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.


First Advisor

Kourosh Danai