Abstract
When transient diffusion and/or advection occur in a physical system modelled by linear equations whose coefficients are time-invariant, the relationships between a source (a temperature or a thermal power) and its consequences (local temperatures) are convolution products. This study deals with identification of a transfer function when an additive noise not only corrupts the output (response) but also the input (excitation) in a calibration experiment. Regularization is implemented either through Truncated Singular Value Decomposition or by Total Least Squares.
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