图像压缩感知在分数阶Fourier域、分数阶余弦域的性能比较

The Performance Comparision of Image Compressed Sensing in Fractional Fourier Domain and Fractional Cosine Domain

模拟信号的数字采样是模拟通向数字信息世界的纽带。本文基于图像信号在分数阶Fourier域(FRFT)、分数阶余弦域(FRCT)域具有稀疏性的特性,对灰度图像压缩感知在以上两种变换域的性能做了初步比较。本文采用正交匹配追踪法(OMP)重构原信号,采用局部哈达码矩阵作为测量矩阵,采用峰值信噪比(PSNR)和均方误差(MSE)作为客观评价标准。

Sampling is the bridge between analog source signal and digital signal. Based on image signal in the fractional Fourier domain （FRKF）, fractional cosine domain （FRCT） with sparse features, this article makes a preliminary comparison of the performance of gray image compression perception in the above two kinds of transform domain. This article uses the method of orthogonal matching pursuit （OMP） to reconstruct the original signal, uses local hada code matrix as measurement matrix, and uses the peak signal-to-noise ratio （PSNR） and mean square error （MSE） as the objective evaluation standard.