A comparison of different window formulations for two-dimensional FIR filter design

Two-dimensional windows are generally derived by beginning with a one-dimensional window as a prototype and either rotating that window in the 2-D plane to produce a window with a round region of support or forming the outer product of that window with itself to produce a window with a square region of support. In this paper we present a comparison of results obtained using these two window formulations for 2-D FIR filter design. Design formulas are produced for estimating filter order for a given set of frequency domain specifications when a one-dimensional Kaiser window is used as the prototype window. The results suggest some interesting differences from the one-dimensional case.