We address the problem of reference-based compressed sensing: reconstruct a sparse signal from few linear measurements using as prior information a reference signal, a signal similar to the signal we want to reconstruct. Access to reference signals arises in applications such as medical imaging, e.g., through prior images of the same patient, and compressive video, where previously reconstructed frames can be used as reference. Our goal is to use the reference signal to reduce the number of required measurements for reconstruction. We achieve this via a reweighted â„“1-â„“1 minimization scheme that updates its weights based on a sample complexity bound. The scheme is simple, intuitive and, as our experiments show, outperforms prior algorithms, including reweighted â„“1 minimization, â„“1-â„“1 minimization, and modified CS.
Mota, J, Weizman, L, Deligiannis, N, Eldar, Y & Rodrigues, M 2016, Reference-based compressed sensing: A sample complexity approach. in IEEE International Conference on Acoustics, Speech, and Signal Processing: ICASSP 2016. pp. 1-5, IEEE International Conference on Acoustics, Speech, and Signal Processing: ICASSP 2016., 20/03/17.
Mota, J., Weizman, L., Deligiannis, N., Eldar, Y., & Rodrigues, M. (2016). Reference-based compressed sensing: A sample complexity approach. In IEEE International Conference on Acoustics, Speech, and Signal Processing: ICASSP 2016 (pp. 1-5)
@inproceedings{0faf84016b1b479c8cd984f45ed854d8,
title = "Reference-based compressed sensing: A sample complexity approach",
abstract = "We address the problem of reference-based compressed sensing: reconstruct a sparse signal from few linear measurements using as prior information a reference signal, a signal similar to the signal we want to reconstruct. Access to reference signals arises in applications such as medical imaging, e.g., through prior images of the same patient, and compressive video, where previously reconstructed frames can be used as reference. Our goal is to use the reference signal to reduce the number of required measurements for reconstruction. We achieve this via a reweighted â„“1-â„“1 minimization scheme that updates its weights based on a sample complexity bound. The scheme is simple, intuitive and, as our experiments show, outperforms prior algorithms, including reweighted â„“1 minimization, â„“1-â„“1 minimization, and modified CS.",
keywords = "Compressed sensing, reweighted â„“1 minimization, prior information, sample complexity",
author = "Jo{\~a}o Mota and Lior Weizman and Nikolaos Deligiannis and Yonina Eldar and Miguel Rodrigues",
year = "2016",
language = "English",
pages = "1--5",
booktitle = "IEEE International Conference on Acoustics, Speech, and Signal Processing",
note = "IEEE International Conference on Acoustics, Speech, and Signal Processing: ICASSP 2016. : ICASSP ; Conference date: 20-03-2017 Through 25-03-2017",
}