An approximation method for time domain synthesis of linear networks

Time domain synthesis of linear networks requires approximation of functions with a finite sum of weighted exponentials. In this paper an error function, obtained by orthonormal filtering, suitable to numeric optimization, is evaluated. The error function is the integrated squared difference between the obtained function and the desired one. The procedure can be used to form an optimum set of basis exponentials to an ensemble of functions. Finally, the procedure is illustrated with some simple examples.