Minimum-Energy Multiwavelet Frame on the Interval [0,1]

الملخص EN

Drawing inspiration from the idea of combining multiwavelets on the interval with frame theory organically, we study minimum-energy multiwavelet frame on the interval [0,1] (MEMWFI).

Firstly, left boundary multiscalingfunctions, right boundary multiscaling functions, and the definition of MEMWFI are put forward, and the equivalent characterizations ofMEMWFI are given.

Then, two algorithms of constructing MEMWFI are proposed.

Finally, the decomposition formula, reconstruction formulas, and numerical examples are given.