A two-dimensional genetic algorithm of wavelet coefficient is presented by using the ENO wavelet transform and the decomposed characterization of the two-dimensional Haar wavelet. And simulated by the ENO interpolation the article shows the affectivity and the superiority of this algorithm.
The aim of this paper is to present construction of finite element multiscaling function with three coefficients. In order to illuminate the result, two examples are given finally.
Basic facts for Gabor frame {Eu(m)bTu(n)ag}m, n∈P on local field are investigated. Accurately, that the canonical dual of frame {Eu(m)bTu(n)ag}m,n∈P also has the Gabor structure is showed; that the product ab decides whether it is possible for {Eu(m)bTu(n)ag}m,n∈P to be a frame for L^2(K) is discussed; some necessary conditions and two sufficient conditions of Gabor frame for L^2 (K) are established. An example is finally given.