Computational array signal processing via modulo non-linearities
File(s)
Accepted version
Author(s)
Fernandez-Menduina, Samuel
Krahmer, Felix
Leus, Geert
Bhandari, Ayush
Type
Journal Article
Abstract
Conventionalliterature on array signal processing (ASP) is based on the “capture first, process later” philosophy and to this end, signal processing algorithms are typically decoupled from the hardware. This poses fundamental limitations because if the sensors result in information loss, the algorithms may no longer be able to achieve their guaranteed performance. In this paper, our goal is to overcome the barrier of information loss via sensor saturation and clipping. This is a significant problem in application areas including physiological monitoring and extra-terrestrial exploration where the amplitudes may be unknown or larger than the dynamic range of the sensor. To overcome this fundamental bottleneck, we propose “computational arrays” which are based on a co-design approach so that a collaboration between the sensor array hardware and algorithms can be harnessed. Our work is inspired by the recently introduced unlimited sensing framework. In this context, our computational arrays encode the high-dynamic-range information by folding the signal amplitudes, thus introducing a new form of information loss in terms of the modulo measurements. On the decoding front, we develop mathematically guaranteed recovery algorithms for spatio-temporal array signal processing tasks that include DoA estimation, beamforming and signal reconstruction. Numerical examples corroborate the applicability of our approach and pave a path for the development of novel computational arrays for ASP.
Date Issued
2022-03-01
Date Acceptance
2022-07-22
Citation
IEEE Transactions on Signal Processing, 2022, 70, pp.2168-2179
ISSN
1053-587X
Publisher
Institute of Electrical and Electronics Engineers
Start Page
2168
End Page
2179
Journal / Book Title
IEEE Transactions on Signal Processing
Volume
70
Identifier
https://www.webofscience.com/api/gateway?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000795104600006&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=a2bf6146997ec60c407a63945d4e92bb
Subjects
Array signal processing
direction of arrival (DoA) estimation
Direction-of-arrival estimation
Engineering
Engineering, Electrical & Electronic
Estimation
Hardware
LOCALIZATION
multi-channel sampling
non-linear sensing
Parallel processing
Science & Technology
SENSOR
Signal processing algorithms
Signal reconstruction
Technology
Publication Status
Published