基于双正交小波的光阑小波滤波器

Optical Wavelet Filter Based on Biorthogonal Wavelets

提出了一种应用于4f光学系统的光学小波滤波器的设计与制作方法。结合光学信号的优势与小波变换的优点,利用双正交小波的共轭镜像特性构造出了频域形式的分解和重构滤波器。通过将滤波器放置在4f系统的频谱面上对图像成功实现了二维分解和重构。另外还根据信息处理要求和采样器件的特性,制作了振幅型和位相型两种小波滤波器。这两套滤波器都可以完整地分解和重构图像,因而进一步推进了光学小波变换实现图像数据的实时压缩,为图像的快速传输奠定了基础。该方法是4f系统频谱滤波器上的一种创新。选用离散的Bior2.2小波进行了仿真与实验。实验结果表明,这种方法具有可行性。

A method for designing and constructing optical wavelet filters for 4f optical systems is proposed.Frequency domain decomposition and reconstruction wavelet filters are constructed according to the advantages of optical signals and wavelet transform and the conjugate mirror characteristics of biorthogonal wavelets.The filters can implement two-dimensional decomposition and reconstruction of images successfully when they are placed on the spectrum surfaces of 4f optical systems.In addition,both amplitude wavelet filters and phase wavelet filters constructed according to the information processing needs and sampling device properties can also decompose and reconstruct images completely.This method is an innovation in frequency filters for 4f optical systems.It is simulated by using the discrete Bior 2.2 wavelet in experiment.The experimental result shows that this method is feasible.