Framelet scaling set with matrix dilation in L2(R2)

Abstract

. In this paper, we have constructed the non-overlapping frame scaling set with 2 × 2 expansive matrix dilation for the time frequency analysis in R 2 . The FMRA (Frame Multiresolution Analysis) always contains a frame scaling set. We have investigated that frequency domain of any frame scaling function contains a non-overlapping scaling set.