Title
One-Bit Compressive Sensing: Can We Go Deep and Blind?
Abstract
One-bit compressive sensing is concerned with the accurate recovery of an underlying sparse signal of interest from its one-bit noisy measurements. The conventional signal recovery approaches for this problem are mainly developed based on the assumption that an exact knowledge of the sensing matrix is available. In this work, however, we present a novel data-driven and model-based methodology that achieves blind recovery; i.e., signal recovery without requiring the knowledge of the sensing matrix. To this end, we make use of the deep unfolding technique and develop a model-driven deep neural architecture which is designed for this specific task. The proposed deep architecture is able to learn an alternative sensing matrix by taking advantage of the underlying unfolded algorithm such that the resulting learned recovery algorithm can accurately and quickly (in terms of the number of iterations) recover the underlying compressed signal of interest from its one-bit noisy measurements. In addition, due to the incorporation of the domain knowledge and the mathematical model of the system into the proposed deep architecture, the resulting network benefits from enhanced interpretability, has a very small number of trainable parameters, and requires very small number of training samples, as compared to the commonly used black-box deep neural network alternatives for the problem at hand.
Year
DOI
Venue
2022
10.1109/LSP.2022.3187318
IEEE SIGNAL PROCESSING LETTERS
Keywords
DocType
Volume
Sensors, Signal processing algorithms, Decoding, Sparse matrices, Neural networks, Compressed sensing, Training, Blind compressive sensing, deep-unfolded neural networks, interpretable deep learning, one-bit sampling
Journal
29
ISSN
Citations 
PageRank 
1070-9908
0
0.34
References 
Authors
0
3
Name
Order
Citations
PageRank
Yiming Zeng100.34
Shahin Khobahi211.37
Mojtaba Soltanalian301.01