DIMENSIONAL FIR FILTERS WITH APPLICATION TO TEIE DESIGN OF MULTI
Takuro Kida · 1986
Extended interpolatory approximation method is presented for the n-dimensional (n-D) waves whose spectrums have the weighted L p norms smaller than a given positive number. The sample points are selected from a certain subset of the whole vertices of n-D parallelepipeds arranged periodically in Rn. It is assumed that the sample values contain small statistical error. The proposed method minimizes the measure of error which corresponds to the envelope of the standard deviations of the approximation errors. Some important conditions for the convergence of the proposed approximation are presented. Application to the design of n-D FIR filters is also given.