Almost Tight Rational Coefficients Biorthogonal Wavelet Filters

作者：Tay David B H^*; Lin Zhiping

来源：IEEE Signal Processing Letters, 2018, 25(6): 748-752.

DOI：10.1109/LSP.2018.2819971

• Filter banks
• rational coefficients
• tight frame
• wavelets

Wavelet filters with rational coefficients can be implemented efficiently in digital hardware using simple register shifts and adders. In this letter, a technique to construct biorthogonal filters with rational coefficients is presented. The filters have linear phase and also have very similar characteristics to orthogonal filters, while the latter cannot have linear phase. The frame bound ratio of the filters is very close to unity, i.e., almost tight. The filters are constructed via the lifting scheme with four lifting steps. The perfect reconstruction and the no-dc-leakage properties are preserved with these rational coefficients filters.

• 出版日期2018-6
• 单位迪肯大学; 南阳理工学院