Degradation algorithm of compressive sensing

作     者：Chunhui Zhao Wei Liu 

作者机构：College of Information and Communication Engineering Harbin Engineering University Harbin 150001 P. R. China 

出 版 物：《Journal of Systems Engineering and Electronics》 (系统工程与电子技术（英文版）)

年 卷 期：2011年第22卷第5期

页      面：832-839页

核心收录：

学科分类：080202[工学-机械电子工程] 08[工学] 081601[工学-大地测量学与测量工程] 0816[工学-测绘科学与技术] 0802[工学-机械工程] 

基　　金：supported by the National Natural Science Foundation of China (61077079) the Specialized Research Fund for the Doctoral Program of Higher Education (20102304110013) the Program Ex-cellent Academic Leaders of Harbin (2009RFXXG034) 

主　　题：compressive sensing (CS) dimensionality reduction transform matrix accuracy control matrix degradation algorithm joint photographic exports group (JPEG) compression. 

摘      要：The compressive sensing （CS） theory allows people to obtain signal in the frequency much lower than the requested one of sampling theorem. Because the theory is based on the assumption of that the location of sparse values is unknown, it has many constraints in practical applications. In fact, in many cases such as image processing, the location of sparse values is knowable, and CS can degrade to a linear process. In order to take full advantage of the visual information of images, this paper proposes the concept of dimensionality reduction transform matrix and then se- lects sparse values by constructing an accuracy control matrix, so on this basis, a degradation algorithm is designed that the signal can be obtained by the measurements as many as sparse values and reconstructed through a linear process. In comparison with similar methods, the degradation algorithm is effective in reducing the number of sensors and improving operational efficiency. The algorithm is also used to achieve the CS process with the same amount of data as joint photographic exports group （JPEG） compression and acquires the same display effect.