CONSTRUCTION OF N-DIMENSIONAL TWO-BAND TIGHT WAVELET FRAMES
N维2带小波紧框架的构造

In this paper, sufficient condition for $N$-dimensional two-band tight wavelet frames and explicit algorithm for the construction of tight wavelet frames arepresented. The decomposition and reconstruction formulas of $N$-dimensional two-band tight wavelet frames are also provided. The methods presented here have generality, the $N$-dimensional $M$-band tight wavelet frames can be constructed similarly, and the similar decomposition and reconstruction formulas of tight wavelet frames can be obtained.