摘要
本文构造了具有紧支撑对偶的内插子波。与已有的内插子波相比,它可以通过FIR滤波器组进行快速分解和重构,并且设计上具有更大的灵活性。最后,实验结果表明它还具有良好的去噪性能。
This paper constructs a family of compactly supported interpolating wavelets with compactly supported duals. Comparing with the existed interpolating wavelets, the new wavelets are greater flexible in design and the decomposition and synthesis algorithms can be realized completely by using FIR filter banks. Finally, the test results show that they perform well in denoising.
关键词
内插子波
内插滤波器
双正交性
信号分析
对偶
Interpolating wavelet, Interpolating filter, Biorthogonality, Duals
