Construction and properties of multiwavelet packets with arbitrary scale and the related algorithms of decomposition and reconstruction

Abstract: A more flexible method of constructing multiwavelet packets with the scale a ≥ 2 from the same set of multiwavelets is discussed in this paper. The properties of these packets are studied. The formulae for performing iterations and decomposition are given. L 2(R) can be further decomposed by these multiwavelet packets and good bases of L 2(R) are given. Finally, we provide the algorithms for the decomposition and reconstruction using these multiwavelet packets. [Copyright &y& Elsevier]