滤波器组框架理论及其在图信号处理中的应用  

Filter bank frames: Theory and application in graph signal processing

作　　者：柴利[1] 易静文 盛玉霞[1] CHAI Li, YI Jing-wen, SHENG Yu-xia(Engineering Research Center of Metallurgical Automation and Measurement Technology, Wuhan University of Science and Technology, Wuhan 430081, Chin)

机构地区：[1]武汉科技大学冶金自动化与检测技术教育部工程研究中心,武汉430081

出　　处：《控制与决策》2018年第5期866-878,共13页Control and Decision

基　　金：国家自然科学基金项目(61625305;61501337;61701355)

摘　　要：滤波器组框架理论是应用数学、信号处理、图像处理和数字通信等领域的重要问题之一,对滤波器组框架的分析和设计问题进行研究有着重要的科学意义和应用前景.近年来,随着高维非规则化数据信息大量涌现,很多学者开始研究图信号处理的滤波器组方法.因此对滤波器组框架理论及其在图信号处理中的应用进行了综述研究.首先对传统滤波器组框架理论的基础知识进行概述,总结滤波器组框架分析与设计方法;然后重点介绍两类图信号处理架构以及图滤波器组的最新研究成果;最后对未来的研究进行展望.Filter bank frame is one of the most important topics in applied mathematics, signal processing, image processing and digital communication. The analysis and design of filter bank frames have great scientific significance and practical merits. In recent years, with the emergence of high-dimensional data in irregular domains, many scholars began studying the filter bank methods in graph signals processing. In this paper, we review the filter bank theory and its applications in graph signal processing. After a brief introduction on the background knowledge of filter banks and frames, we summarize various methods in the analysis and design of filter bank frames. Then we present in detail two frameworks of graph signal processing and the state-of-the-art research on graph filter banks. Finally, some interesting problems of the future research are discussed.

关 键 词：滤波器组 框架理论 多采样率 图信号 图滤波器 优化设计 

分 类 号：TP273[自动化与计算机技术—检测技术与自动化装置]