Multidimensional windows over arbitrary lattices and their application to FIR filter design

This paper presents some applications to FIR filter design of multi-D windows over arbitrary lattices and with arbitrary center of spatial symmetry. First, classic windows (such as Hamming, Blackman, etc.) are extended to windows over 1D and multi-D lattices with arbitrary spatial symmetry centers (which multirate applications sometimes require). Then the problem of obtaining a target frequency response with a good transition band from an ideal frequency response (made of a passband having constant gain and a stopband for which the gain is zero) is studied. A method to obtain a described target response using multi-D windows with application to the design of FIR filters is presented. Finally, a procedure for designing multi-D FIR filters by windowing is explained