In this paper, sufficient condition for -dimensional two-band tight wavelet frames and explicit algorithm for the construction of tight wavelet frames are presented. The decomposition and reconstruction formulas of -dimensional two-band tight wavelet frames are also provided. The methods presented here have generality, the -dimensional -band tight wavelet frames can be constructed similarly, and the similar decomposition and reconstruction formulas of tight wavelet frames can be obtained.
HE Yongtao. , {{custom_author.name_en}}.
Construction of N-Dimensional Two-Band Tight Wavelet Frames. Journal of Systems Science and Mathematical Sciences, 2010, 30(10): 1368-1378 https://doi.org/10.12341/jssms09275