Development of Digital Filters for Inverse Heat Conduction Problems

Abstract. This work uses the idea of digital filter in order to solve multidimensional heat conduction inverse problems. The inverse technique is based on the general linear constant-coefficient difference equation that can be applied in an important class of linear time-invariant discrete-time dynamic systems. Besides the difference equation this work also uses the idea of dynamic system in order to obtain the response frequency trough of an auxiliary problem and Green’s function concept. The technique is also adapted to define a thermal model transfer function that is able to use more than one temperature information at the same time that improved the accuracy and stability of the algorithm. The modified technique is applied in two experimental and controlled cases. The inverse technique proposed has a simple algorithm that is easy to implement and gives a good estimations of results.