变换域全相位信号处理算法  

All-phase Signal Processing Algorithm in Transform Domain

作　　者：段宇翔 苏飞[1] 

机构地区：[1]天津理工大学电子信息工程学院,天津300384

出　　处：《数据采集与处理》2016年第3期614-622,共9页Journal of Data Acquisition and Processing

基　　金：全国大学生创新创业计划基金(201410060017)资助项目

摘　　要：全相位处理有效地改善了信号吉布斯现象,为了在数据压缩、谱分析和多分辨率分析等领域内充分利用全相位方法,本文设计了各种正交变换下全相位信号处理算法的一般形式,即全相位变换等于信号准2倍延拓的全相位核加权,推导出离散傅里叶变换(Discrete Fourier transform,DFT)、离散余弦变换(Discrete cosine transform,DCT)和DCT正交基下的全相位核的数学表达式及反变换公式。为进一步改善算法效果,给出了加窗的变换域全相位处理算法的系统实现框图,对满足线性的窗进行了分析。最后,基于DCT、离散小波变换(Discrete wavelet transform,DWT)的传输特性和信号子带分解实验证实了该算法的正确性和可实现性。Abstract： To make the best use of all phase method in signal compression, spectrum and multi-resolution analysis fields etc, all-phase signal processing algorithm in three orthogonal transforms is designed which improves weak Gibbs effectively, and the mathematical expressions and inverse transformation formulas of all phase kernel in DFT, DCT and DCT orthogonal bases are derived. Then implementation structure of windowed all-phase processing is presented for improving the performance of the algorithm. In addi- tion, window function is analyzed for the linearity. Finally, two experiments, designing transmission property based on DCT and discrete wavelet transform （DWT） and sub-band dividing, testify the correct- ness and feasibility of the presented algorithm.

关 键 词：全相位变换 正交基 全相位核 子带分解 

分 类 号：TN911.72[电子电信—通信与信息系统]