On construction of orthogonal periodic wavelt of birariate Box splines function

In the algorithm the characteristic of periodic wavelet on L~2([0,l]) and the Hilbert kernel were used to solve and make the stiff matrix lower dimension and become sparser through threshold.

Decomposition algorithms and reconstruction algorithms of periodic wavelets based on orthogonal splines;

A short-cut method of constructing Daubechies biorthonormal wavelet with even symmetry double scale parameter;

The extended matrix corresponding to multiple channelorthonormal wavelet filters is also obtained in this paper, which solves the problem of the general solutions of matrixextension associated with multiple channel orthonormal wavelet filters systematically.

Compactly supported orthonormal wavelet, compactly supported biorthogonal wavelet, and B spline wavelet, etc.

Choosing proper orthogonal wavelet function,the low frequency sub-band was enhanced obviously and the high frequency sub-band was restrained moderately to realize image enhancing via the modulation of information entropy window.

The construction of the B-spline wavelet is simple, and it has better stability than the orthogonal wavelet.

On the basis of wavelet transform technique and OFDM modulation technique, an technique substituting multi-scale orthogonal wavelet for cosine function in OFDM for the optimiza- tion design of system is proposed.

Stationary subdivision scheme is a newly developed geometric modeling schemes for discrete points interpolation, which have important roles in geometr ic modeling and interrogation, image decomposition and reconstruction, the const ruction of compactly supported orthogonal wavelets by multi-resolution analysis , as well as, in fractal and its computer generation, etc.

Compact support of Fourier transform for scaling function and orthogonal wavelets are characterized by some inequalities and equalities.