摘要
引入了一种对信号递归滤波的提升方法,该方法与通常的提升方法不同之处是使用IIR滤波器。探讨了空间域中基于离散插值样条的预测算子和更新算子的设计,提出的方法以插值为基础,只涉及信号的采样,不要求使用正交公式,更适合信号的处理。最后由数值仿真验证了该算法的性能,对于软阈值法小波系数去噪,提升小波变换T21同B9/7相比,前者略优于后者,提升方法的优点在于其设计上的灵活性和计算花费少。
This paper develops a lifting scheme based on the recursive filtering of signals. The lifting scheme proposed operates with IIR filters and is different from the conventional lifting scheme. The lifting construction exploits prediction operator and update operator design based on the interpolation discrete splines in a spatial domain. The proposed scheme is based on interpolation and, as such, it involves only samples of signals and does not require any use of quadrature formulas and is more suitable for signal processing. Finally the performance of the algorithm is discussed by comparing the transform with the wavelet transform B9/7on denoise of two - dimension test images according to soft threshold of wavelet coefficient. The former outperforms slightly the latter. The advantages of lifting scheme lie in its flexibility in design and the lower cost in computation.
出处
《空军工程大学学报（自然科学版）》
CSCD
北大核心
2005年第6期52-55,共4页
Journal of Air Force Engineering University(Natural Science Edition)
基金
国家自然科学基金资助项目(10361003)
关键词
小波变换
离散插值样条
提升
去噪
wavelet transform
interpolation discrete splines
lifting scheme
denoising
