基于改进傅里叶基的压缩感知频谱测量  

Spectrum measure with compressed sensing based on improved Fourier basis

作　　者：王泉[1] 张金成[1] 张纳温[1] 吕方旭[1] 王钰[1] 陈可伟[1] 

机构地区：[1]空军工程大学防空反导学院,陕西西安710051

出　　处：《计算机工程与设计》2015年第10期2627-2632,2683,共7页Computer Engineering and Design

摘　　要：提出一种由对称频点原子构成的改进傅里叶稀疏基,通过共轭原子与观测向量的相关累加,提高压缩感知在频谱重构中的抗噪性能,减少重构算法的计算量。在研究多频带信号频谱检测的基础上,提出频域子带表示字典,阐明字典原子间满足正交性并通过计算验证字典与观测矩阵的不相干性。实验结果表明,在多频带信号频谱测量的抗噪性能与检测性能上,基于频谱子带字典的压缩频谱感知方法优于传统的小波边缘检测方法。An improved Fourier basis consisted of symmetric frequency points was presented,through the accumulation between conjugate atoms and observation vector,the anti-noise performance in signal reconstruction with compressed sensing was enhanced,while the amount of computation of restricting algorithm was reduced.With the study of traditional approach for spectrum measuring of multi-band signal,the sub-band sparse dictionary was presented.It was proved that the sub-band sparse dictionary matched the orthogonality,the restricted isometry property was also proved while reconstructing the signal.The simulation results show that compared with traditional wavelet edge detection,the approach based on frequency-sub-band dictionary performs better in anti-noise and spectrum sensing.

关 键 词：压缩感知 改进傅里叶基 多谐波 多频带 频谱测量 

分 类 号：TP393[自动化与计算机技术—计算机应用技术]