Open AccessFast sensing matrix construction method oriented towards frequency‐sparse signal
Author(s) -
Fu Ning,
Song Pingfan,
Qiao Liyan
Publication year - 2014
Publication title -
electronics letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.375
H-Index - 146
ISSN - 1350-911X
DOI - 10.1049/el.2014.2022
Subject(s) - computer science , sparse matrix , matrix (chemical analysis) , electronic engineering , signal (programming language) , algorithm , materials science , engineering , physics , quantum mechanics , composite material , gaussian , programming language
The sensing matrix is a crucial parameter in the recovery of frequency‐sparse signals according to compressive sensing theory. Generally, it is calculated via multiplication of the measurement matrix and the inverse discrete Fourier transform (IDFT) matrix, which involves a large amount of computational work. To reduce the computational load, a fast sensing matrix construction (FSMC) method is developed. The matrices transpose rule, the symmetry property of the discrete Fourier transform (DFT) matrix, the conjugation relation between the DFT matrix and the IDFT matrix are exploited for the first time to develop this FSMC method in which the fast Fourier transform algorithm can be applied. Experiments demonstrate that the FSMC method can boost computational efficiency and contribute to a reduction in computational load without any loss of accuracy.