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Breaking the Nyquist Barrier: A New Paradigm in Data Conversion and Transmission

Total Cost €


EC-Contrib. €






Project "BNYQ" data sheet

The following table provides information about the project.


Organization address
city: HAIFA
postcode: 32000

contact info
title: n.a.
name: n.a.
surname: n.a.
function: n.a.
email: n.a.
telephone: n.a.
fax: n.a.

 Coordinator Country Israel [IL]
 Project website
 Total cost 2˙400˙000 €
 EC max contribution 2˙400˙000 € (100%)
 Programme 1. H2020-EU.1.1. (EXCELLENT SCIENCE - European Research Council (ERC))
 Code Call ERC-2014-CoG
 Funding Scheme ERC-COG
 Starting year 2015
 Duration (year-month-day) from 2015-08-01   to  2020-07-31


Take a look of project's partnership.

# participants  country  role  EC contrib. [€] 


 Project objective

Digital signal processing (DSP) is a revolutionary paradigm shift enabling processing of physical data in the digital domain where design and implementation are considerably simplified. However, state-of-the-art analog-to-digital convertors (ADCs) preclude high-rate wideband sampling and processing with low cost and energy consumption, presenting a major bottleneck. This is mostly due to a traditional assumption that sampling must be performed at the Nyquist rate, that is, twice the signal bandwidth. Modern applications including communications, medical imaging, radar and more use signals with high bandwidth, resulting in prohibitively large Nyquist rates. Our ambitious goal is to introduce a paradigm shift in ADC design that will enable systems capable of low-rate, wideband sensing and low-rate DSP. While DSP has a rich history in exploiting structure to reduce dimensionality and perform efficient parameter extraction, current ADCs do not exploit such knowledge. We challenge current practice that separates the sampling stage from the processing stage and exploit structure in analog signals already in the ADC, to drastically reduce the sampling and processing rates. Our preliminary data shows that this allows substantial savings in sampling and processing rates --- we show rate reduction of 1/28 in ultrasound imaging, and 1/30 in radar detection.

To achieve our overreaching goal we focus on three interconnected objectives -- developing the 1) theory 2) hardware and 3) applications of sub-Nyquist sampling. Our methodology ties together two areas on the frontier of signal processing: compressed sensing (CS), focused on finite length vectors, and analog sampling. Our research plan also inherently relies on advances in several other important areas within signal processing and combines multi-disciplinary research at the intersection of signal processing, information theory, optimization, estimation theory and hardware design.


year authors and title journal last update
List of publications.
2017 Avinoam Bar-Zion, Charles Tremblay-Darveau, Oren Solomon, Dan Adam, Yonina C. Eldar
Fast Vascular Ultrasound Imaging With Enhanced Spatial Resolution and Background Rejection
published pages: 169-180, ISSN: 0278-0062, DOI: 10.1109/TMI.2016.2600372
IEEE Transactions on Medical Imaging 36/1 2019-05-30
2017 Deborah Cohen, Yonina C. Eldar
Sub-Nyquist Cyclostationary Detection for Cognitive Radio
published pages: 3004-3019, ISSN: 1053-587X, DOI: 10.1109/TSP.2017.2684743
IEEE Transactions on Signal Processing 65/11 2019-05-30
2017 Eliel Hojman, Thomas Chaigne, Oren Solomon, Sylvain Gigan, Emmanuel Bossy, Yonina C. Eldar, Ori Katz
Photoacoustic imaging beyond the acoustic diffraction-limit with dynamic speckle illumination and sparse joint support recovery
published pages: 4875, ISSN: 1094-4087, DOI: 10.1364/OE.25.004875
Optics Express 25/5 2019-05-30
2017 Kfir Aberman, Yonina C. Eldar
Sub-Nyquist SAR via Fourier Domain Range-Doppler Processing
published pages: 6228-6244, ISSN: 0196-2892, DOI: 10.1109/TGRS.2017.2723620
IEEE Transactions on Geoscience and Remote Sensing 55/11 2019-05-30
2017 Shahar Stein Ioushua, Or Yair, Deborah Cohen, Yonina C. Eldar
CaSCADE: Compressed Carrier and DOA Estimation
published pages: 2645-2658, ISSN: 1053-587X, DOI: 10.1109/TSP.2017.2664054
IEEE Transactions on Signal Processing 65/10 2019-05-30
2017 Tamir Bendory, Yonina C. Eldar, Nicolas Boumal
Non-Convex Phase Retrieval from STFT Measurements
published pages: 1-1, ISSN: 0018-9448, DOI: 10.1109/TIT.2017.2745623
IEEE Transactions on Information Theory 2019-05-30
2017 Tamir Bendory, Pavel Sidorenko, Yonina C. Eldar
On the Uniqueness of FROG Methods
published pages: 722-726, ISSN: 1070-9908, DOI: 10.1109/LSP.2017.2690358
IEEE Signal Processing Letters 24/5 2019-05-30
2017 Dani Kogan, Yonina C. Eldar, Dan Oron
On the 2D Phase Retrieval Problem
published pages: 1058-1067, ISSN: 1053-587X, DOI: 10.1109/TSP.2016.2631455
IEEE Transactions on Signal Processing 65/4 2019-05-30
2017 Dikla Oren, Maor Mutzafi, Yonina C. Eldar, Mordechai Segev
Quantum state tomography with a single measurement setup
published pages: 993, ISSN: 2334-2536, DOI: 10.1364/optica.4.000993
Optica 4/8 2019-05-30
2017 Omri Lev, Tal Wiener, Deborah Cohen, Yonina C. Eldar
WINDOW: wideband demodulator for optical waveforms
published pages: 19444, ISSN: 1094-4087, DOI: 10.1364/oe.25.019444
Optics Express 25/16 2019-05-30
2018 Deborah Cohen, Kumar Vijay Mishra, Yonina C. Eldar
Spectrum Sharing Radar: Coexistence via Xampling
published pages: 1279-1296, ISSN: 0018-9251, DOI: 10.1109/taes.2017.2780599
IEEE Transactions on Aerospace and Electronic Systems 54/3 2019-05-22
2019 Nir Shlezinger, Yonina C. Eldar
On the Spectral Efficiency of Noncooperative Uplink Massive MIMO Systems
published pages: 1956-1971, ISSN: 0090-6778, DOI: 10.1109/tcomm.2018.2884008
IEEE Transactions on Communications 67/3 2019-05-22
2018 David Cohen, Deborah Cohen, Yonina C. Eldar, Alexander M. Haimovich
SUMMeR: Sub-Nyquist MIMO Radar
published pages: 4315-4330, ISSN: 1053-587X, DOI: 10.1109/tsp.2018.2838541
IEEE Transactions on Signal Processing 66/16 2019-05-22
2018 Chuang Wang, Yonina C. Eldar, Yue M. Lu
Subspace Estimation From Incomplete Observations: A High-Dimensional Analysis
published pages: 1240-1252, ISSN: 1932-4553, DOI: 10.1109/JSTSP.2018.2877405
IEEE Journal of Selected Topics in Signal Processing 12/6 2019-05-22
2018 Regev Cohen, Yonina C. Eldar
Sparse Doppler Sensing Based on Nested Arrays
published pages: 2349-2364, ISSN: 0885-3010, DOI: 10.1109/tuffc.2018.2872870
IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control 65/12 2019-05-22
2017 Lior Weizman, Karla L. Miller, Yonina C. Eldar, Mark Chiew
PEAR: PEriodic And fixed Rank separation for fast fMRI
published pages: 6166-6182, ISSN: 0094-2405, DOI: 10.1002/mp.12599
Medical Physics 44/12 2019-05-22
2016 Lior Weizman, Yonina C. Eldar, Dafna Ben Bashat
Reference-based MRI
published pages: 5357-5369, ISSN: 0094-2405, DOI: 10.1118/1.4962032
Medical Physics 43/10 2019-05-22
2018 Gal Mazor, Lior Weizman, Assaf Tal, Yonina C. Eldar
Low-rank magnetic resonance fingerprinting
published pages: 4066-4084, ISSN: 0094-2405, DOI: 10.1002/mp.13078
Medical Physics 45/9 2019-05-22
2018 Deborah Cohen, Shahar Tsiper, Yonina C. Eldar
Analog-to-Digital Cognitive Radio: Sampling, Detection, and Hardware
published pages: 137-166, ISSN: 1053-5888, DOI: 10.1109/MSP.2017.2740966
IEEE Signal Processing Magazine 35/1 2019-05-22
2019 Oren Solomon, Yonina C. Eldar, Maor Mutzafi, Mordechai Segev
SPARCOM: Sparsity Based Super-resolution Correlation Microscopy
published pages: 392-419, ISSN: 1936-4954, DOI: 10.1137/18m1174921
SIAM Journal on Imaging Sciences 12/1 2019-05-22

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