Title :
Reconstruction of Sparse Wavelet Signals From Partial Fourier Measurements
Author :
Yang Chen ; Cheng Cheng ; Qiyu Sun
Author_Institution :
Dept. of Math., Hunan Normal Univ., Changsha, China
Abstract :
In this letter, we show that high-dimensional sparse wavelet signals can be reconstructed from their partial Fourier measurements on a deterministic sampling set with cardinality about a multiple of signal sparsity.
Keywords :
Fourier transforms; signal reconstruction; signal sampling; wavelet transforms; deterministic sampling set; high-dimensional sparse wavelet signal reconstruction; partial Fourier measurement; Fourier transforms; Image coding; Image reconstruction; Polynomials; Sun; Wavelet analysis; Wavelet transforms; Compressive sensing; Fourier transform; wavelet;
Journal_Title :
Signal Processing Letters, IEEE
DOI :
10.1109/LSP.2015.2478007
