Dette, HolgerMelas, Viatcheslav B.Shpilev, Petr2009-10-292009-10-292009-07-04http://hdl.handle.net/2003/2648810.17877/DE290R-813In the common Fourier regression model we investigate the optimal design problem for the estimation of linear combinations of the coefficients, where the explanatory variable varies in the interval [-pi; pi]. In a recent paper Dette et. al. (2008) determined optimal designs for estimating certain pairs of the coefficients in the model. The optimal design problem corresponds to a linear optimality criterion for a specific matrix L. In the present paper these results are extended to more general matrices L. By our results the optimal design problem for a Fourier regression of large degree can be reduced to a design problem in a model of lower degree, which allows the determination of L-optimal designs in many important cases. The results are illustrated by several examples.enDiscussion Paper / SFB 823; 14/2009equivalence theoremFourier regression modelsL-optimal designsparameter subsets310330620report