A Linear Optimization of Dual-Tree Complex Wavelet Transform

被引:0
|
作者
Kyochi, Seisuke [1 ]
Shimizu, Takafumi [1 ]
Ikehara, Masaaki [1 ]
机构
[1] Keio Univ, Dept Elect & Elect Engn, Yokohama, Kanagawa 2238522, Japan
关键词
dual-tree complex wavelet transform; half sample delay condition; directionality; shift invariance; least squares method; PARAUNITARY FILTER BANKS; LATTICE STRUCTURE; DESIGN;
D O I
10.1587/transfun.E94.A.1386
中图分类号
TP3 [计算技术、计算机技术];
学科分类号
0812 ;
摘要
In this paper, a linear optimization of the dual-tree complex wavelet transform (DTCWT) based on the least squares method is proposed. The proposed method can design efficient DTCWTs by improving the design degrees of freedom and solving the least square solution iteratively. Because the resulting DTCWTs have good approximation accuracy of the half sample delay condition and the stopband attenuation, they provide precise shift-invariance and directionality. Finally, the proposed DTCWTs are evaluated by applying to non-linear approximation and image denoising, and showed their effectiveness, compared with the conventional DTCWTs.
引用
收藏
页码:1386 / 1393
页数:8
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