基于等角紧框架的稀疏信号重构算法

Sparse Signal Reconstruction Algorithm Based on ETF

摘要: 由于信号稀疏表示的优良特性，已被用于信号处理很多领域，但计算复杂成为其实际应用中一大障碍。框架理论是一个新的研究方向，框架可以更为灵活的表示信号。本文结合稀疏信号和框架的特点，提出一种基于等角紧框架(Equiangular Tight Frames, ETF)的稀疏信号重构算法，并通过相应仿真验证。

Abstract: As sparse representation of signals has excellent characteristics, it has been applied in several fields of signal processing. However, the computational complexity has become a major obstacle in practical application. Frame theory is a new research direction and can be more flexible repre-sentation signal. In this paper, with the characteristics of sparse signal and frameworks, we propose a sparse signal reconstruction algorithm based on ETF, and then simulate and verify it.