A New Class of Multi-wavelet Bases:V-System
QI Faculty · 2012
The V-system is a complete orthogonal system of functions defined on the interval [0,1],generated by finite Legendre polynomials and the dilation and translation of a function generator,which consists of a finite number of continuous and discontinuous functions.The V-system has interesting properties,such as orthogonality,symmetry,completeness and short compact support.It is shown in this paper that the V-system is essentially a special multi-wavelet basis.As a result,some basic properties of the V-system are established through the well-developed theory of multi-wavelets.From this point of view,more other V-systems are constructed.