TY - JOUR A2 - Cattani, Carlo AU - Huang, Yongdong AU - Li, Qiufu AU - Li, Ming PY - 2012 DA - 2012/09/09 TI - Minimum-Energy Multiwavelet Frames with Arbitrary Integer Dilation Factor SP - 640789 VL - 2012 AB - In order to organically combine the minimum-energy frame with the significant properties of multiwavelets, minimum-energy multiwavelet frames with arbitrary integer dilation factor are studied. Firstly, we define the concept of minimum-energy multiwavelet frame with arbitrary dilation factor and present its equivalent characterizations. Secondly, some necessary conditions and sufficient conditions for minimum-energy multiwavelet frame are given. Thirdly, the decomposition and reconstruction formulas of minimum-energy multiwavelet frame with arbitrary integer dilation factor are deduced. Finally, we give several numerical examples based on B-spline functions. SN - 1024-123X UR - https://doi.org/10.1155/2012/640789 DO - 10.1155/2012/640789 JF - Mathematical Problems in Engineering PB - Hindawi Publishing Corporation KW - ER -