线性正则变换域多通道采样理论及其在图像超分辨重建中的应用

项目名称： 线性正则变换域多通道采样理论及其在图像超分辨重建中的应用

项目编号： No.61301283

项目类型： 青年科学基金项目

立项/批准年度： 2014

项目学科： 无线电电子学、电信技术

项目作者： 魏德运

作者单位： 西安电子科技大学

项目金额： 25万元

中文摘要： 多通道采样是提高模数转换速率的关键技术，然而随着信息化的不断深入，目前传统傅里叶变换域多通道采样已不能满足实际需要，尤其无法处理通信、雷达信息系统宽带和非平稳信号的采样重建问题。本项目将引入线性正则变换（LCT）域信号处理技术，研究多通道采样重构理论及应用。根据LCT在信号分析中的时频分析特性，其多通道采样理论为宽带非平稳信号重构提供了新的理论工具。项目解决的关键问题包括：借助LCT域滤波方式，建立LCT域一维和多维信号的多通道采样理论；并利用多维导数采样和周期非均匀采样分别给出图像缩放的新算法以及图像/视频的超分辨分析；建立LCT域带限信号插值和采样恒等结构，并据此给出LCT域一维和多维多通道采样的滤波器组高效插值和重建方法。本项目的研究成果将为光电系统非平稳信号处理奠定理论基础；为图像/视频的超分辨分析提供新的研究思路；为通信技术的多路复用以及并行采样模数转换系统设计提供理论依据。

中文关键词： 多通道采样；线性正则变换；变换域；滤波器；图像超分辨

英文摘要： Multichannel sampling is a key technique to improve the rate of the analog-to-digital conversion. However, with the deepening of information technology, the multichannel sampling with traditional Fourier transform domain can not meet the actual needs. In particular, it is unable to handle the sampling reconstruction problem of broadband and non-stationary signals associated with communication, radar information systems. The project will introduce a signal processing technique with linear canonical transform (LCT) domain, and then study multichannel sampling and its applications. According to the time-frequency analysis characteristic of the LCT, multichannel sampling associated with LCT provides a new theoretical tool for the broadband and non-stationary signal reconstruction. Key issues addressed by the project include the following three things. First, establish multichannel sampling theory in LCT domain for one-dimensional and multi-dimensional signals based on the LCT domain filtering ways. Second, develop interpolation and sampling identity structure of band-limited signals in the LCT domain through analyzing sampling rate conversion. Then, design effcient filter bank interpolation and reconstruction methods for one-dimensional and multi-dimensional multichannel sampling using the identity structure. Last,

英文关键词： multichannel sampling；linear canonical transform；transform domian；filterbank；image super-resolution