A smooth non-rectangular time-frequency segmentation of L/sup 2/(R/sup 2/)
Doug W. Warner, D.M. Healy, Daniel N. Rockmore · 2002
We present a direct generalization of local trigonometric bases to decompositions of L/sup 2/(R/sup 2/) with non-rectangular support. We describe decompositions of L/sup 2/(R/sup 2/) into n subspaces supported on approximate equiangular sectors and work out the case for n=3 in detail. For prototypical decompositions, windowed circular harmonics serve as basis functions. The technique applies equally well to decompositions of higher dimensional space.