Title :
Reconstruction of sparse multiband wavelet signals from Fourier measurements
Author :
Yang Chen ; Cheng Cheng ; Qiyu Sun
Author_Institution :
Dept. of Math., Hunan Normal Univ., Changsha, China
Abstract :
In this paper, we consider the problem of reconstructing sparse multiband wavelet signals of finite levels from their samples in Fourier domain. We show that those sparse signals are determined by their Fourier measurements on a set of size proportional to their sparsity.
Keywords :
Fourier transforms; signal reconstruction; wavelet transforms; Fourier domain samples; Fourier measurements; sparse multiband wavelet signal reconstruction; Compressed sensing; Fourier transforms; Frequency modulation; Image reconstruction; Sun; Wavelet transforms;
Conference_Titel :
Sampling Theory and Applications (SampTA), 2015 International Conference on
Conference_Location :
Washington, DC
DOI :
10.1109/SAMPTA.2015.7148854
