Wavelet Transform With Tunable Q-Factor

被引:514
作者
Selesnick, Ivan W. [1 ]
机构
[1] NYU, Polytech Inst, Brooklyn, NY 11201 USA
基金
美国国家科学基金会;
关键词
Constant-Q transform; filter bank; Q-factor; wavelet transform; FILTER BANKS; DESIGN; RECONSTRUCTION; NONUNIFORM; ALGORITHM;
D O I
10.1109/TSP.2011.2143711
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
This paper describes a discrete-time wavelet transform for which the Q-factor is easily specified. Hence, the transform can be tuned according to the oscillatory behavior of the signal to which it is applied. The transform is based on a real-valued scaling factor (dilation-factor) and is implemented using a perfect reconstruction over-sampled filter bank with real-valued sampling factors. Two forms of the transform are presented. The first form is defined for discrete-time signals defined on all of. The second form is defined for discrete-time signals of finite-length and can be implemented efficiently with FFTs. The transform is parameterized by its Q-factor and its oversampling rate (redundancy), with modest oversampling rates (e.g., three to four times overcomplete) being sufficient for the analysis/synthesis functions to be well localized.
引用
收藏
页码:3560 / 3575
页数:16
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