# Robert Calderbank

- Charles S. Sydnor Professor of Computer Science
- Professor of Computer Science
- Professor of Electrical and Computer Engineering (Joint)
- Professor of Mathematics (Joint)
- Professor of Physics (Secondary)
- Director of the Information Initiative at Duke

**External address:**140 Science Drive, 317 Gross Hall, Durham, NC 27708

**Internal office address:**Campus Box 90984, 140 Science Drive, Durham, NC 27708

**Phone:**(919) 613-7874

### Research Areas and Keywords

##### Algebra & Combinatorics

##### Analysis

##### Computational Mathematics

##### Number Theory

##### Physical Modeling

##### Probability

##### Signals, Images & Data

Robert Calderbank is Director of the Information Initiative at Duke University, where he is Professor of Electrical Engineering, Computer Science and Mathematics. He joined Duke in 2010, completed a 3 year term as Dean of Natural Sciences in August 2013, and also served as Interim Director of the Duke Initiative in Innovation and Entrepreneurship in 2012. Before joining Duke he was Professor of Electrical Engineering and Mathematics at Princeton University where he also directed the Program in Applied and Computational Mathematics.

Before joining Princeton University Dr. Calderbank was Vice President for Research at AT&T. As Vice President for Research he managed AT&T intellectual property, and he was responsible for licensing revenue. AT&T Labs was the first of a new type of research lab where masses of data generated by network services became a giant sandbox in which fundamental discoveries in information science became a source of commercial advantage

At Duke, Dr. Calderbank works with researchers from the Duke Center for Autism and Brain Development, developing information technology that is able to capture a full spectrum of behavior in very young children. By supporting more consistent and cost-effective early diagnosis, the team is increasing the opportunity for early interventions that have proven very effective.

At the start of his career at Bell Labs, Dr. Calderbank developed voiceband modem technology that was widely licensed and incorporated in over a billion devices. Voiceband means the signals are audible so these modems burped and squeaked as they connected to the internet. One of these products was the AT&T COMSPHERE^{®} modem which was the fastest modem in the world in 1994 – at 33.6kb/s!

Together with Peter Shor and colleagues at AT&T Labs Dr. Calderbank developed the group theoretic framework for quantum error correction. This framework changed the way physicists view quantum entanglement, and provided the foundation for fault tolerant quantum computation.

Dr. Calderbank has also developed technology that improves the speed and reliability of wireless communication by correlating signals across several transmit antennas. Invented in 1996, this *space-time coding* technology has been incorporated in a broad range of 3G, 4G and 5G wireless standards. He served on the Technical Advisory Board of Flarion Technologies a wireless infrastructure company founded by Rajiv Laroia and acquired by Qualcomm for $1B in 2008.

Dr. Calderbank is an IEEE Fellow and an AT&T Fellow, and he was elected to the National Academy of Engineering in 2005. He received the 2013 IEEE Hamming Medal for contributions to coding theory and communications and the 2015 Shannon Award.

Oak Ridge National Lab GO Program awarded by Oak Ridge National Laboratory (Principal Investigator). 2014 to 2019

SHF:Small:Using Coding Theory to Optimize the Representation of Information in Computer Architecture awarded by National Science Foundation (Co-Principal Investigator). 2014 to 2018

ORNL/Duke Collaboration and Program Development awarded by Oak Ridge National Labs (Principal Investigator). 2011 to 2017

Wide-Area Persistent Energy-Efficient Maritime Sensing awarded by Office of Naval Research (Principal Investigator). 2013 to 2016

Discovery of Empirical Components by Information Theory, Random Matrix Theory, and Computational Topology awarded by Princeton University (Co-Principal Investigator). 2013 to 2016

X-Ray Scatter and Phase Imaging for Explosive Detection awarded by US Department of Homeland Security (Co-Principal Investigator). 2011 to 2015

Photon-limited Sensing and Surveillance awarded by Air Force Office of Scientific Research (Principal Investigator). 2011 to 2014

Calderbank, R, and Jafarpour, S. "Finding needles in compressed haystacks." *Compressed Sensing: Theory and Applications.* January 1, 2009. 439-484.
Full Text

Bajwa, WU, Duarte, MF, and Calderbank, R. "Conditioning of Random Block Subdictionaries With Applications to Block-Sparse Recovery and Regression." *IEEE Transactions on Information Theory* 61.7 (July 2015): 4060-4079.
Full Text

Nokleby, M, Rodrigues, M, and Calderbank, R. "Discrimination on the Grassmann Manifold: Fundamental Limits of Subspace Classifiers." *IEEE Transactions on Information Theory* 61.4 (April 2015): 2133-2147.
Full Text

Harms, A, Bajwa, WU, and Calderbank, R. "Identification of Linear Time-Varying Systems Through Waveform Diversity." *IEEE Transactions on Signal Processing* 63.8 (April 2015): 2070-2084.
Full Text

Wang, L, Huang, J, Yuan, X, Krishnamurthy, K, Greenberg, J, Cevher, V, Rodrigues, MRD, Brady, D, Calderbank, R, and Carin, L. "Signal Recovery and System Calibration from Multiple Compressive Poisson Measurements." *SIAM Journal on Imaging Sciences* 8.3 (January 2015): 1923-1954.
Full Text

Liming Wang, , Carlson, DE, Rodrigues, MRD, Calderbank, R, and Carin, L. "A Bregman Matrix and the Gradient of Mutual Information for Vector Poisson and Gaussian Channels." *IEEE Transactions on Information Theory* 60.5 (May 2014): 2611-2629.
Full Text

Bennatan, A, Shamai, S, and Calderbank, AR. "Soft-Decoding-Based Strategies for Relay and Interference Channels: Analysis and Achievable Rates Using LDPC Codes." *IEEE Transactions on Information Theory* 60.4 (April 2014): 1977-2009.
Full Text

Calderbank, R, Thompson, A, and Xie, Y. "On block coherence of frames." *Applied and Computational Harmonic Analysis* 38.1 (January 1, 2014): 50-71.
Full Text

Goparaju, S, Rouayheb, SE, and Calderbank, R. "New codes and inner bounds for exact repair in distributed storage systems." *2014 48th Annual Conference on Information Sciences and Systems, CISS 2014* (January 1, 2014).
Full Text

Carpenter, K, Sprechmann, P, Fiori, M, Calderbank, R, Egger, H, and Sapiro, G. "Questionnaire simplification for fast risk analysis of children's mental health." *ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings* (January 1, 2014): 6009-6013.
Full Text

Nokleby, M, Rodrigues, M, and Calderbank, R. "Information-theoretic criteria for the design of compressive subspace classifiers." *ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings* (January 1, 2014): 3067-3071.
Full Text

## Pages

Harms, A, Bajwa, W, and Calderbank, R. "Efficient linear time-varying system identification using chirp waveforms." January 1, 2015. Full Text

Xian, Y, Thompson, A, Qiu, Q, Nolte, L, Nowacek, D, Lu, J, and Calderbank, R. "Classification of whale vocalizations using the Weyl transform." January 1, 2015. Full Text

Huang, J, Qiu, Q, Calderbank, R, Rodrigues, M, and Sapiro, G. "Alignment with intra-class structure can improve classification." January 1, 2015. Full Text

Huang, J, Yuan, X, and Calderbank, R. "Multi-scale Bayesian reconstruction of compressive X-ray image." January 1, 2015. Full Text

Yuan, X, Huang, J, and Calderbank, R. "Polynomial-phase signal direction-finding and source-tracking with a single acoustic vector sensor." January 1, 2015. Full Text

Huang, J, Yuan, X, and Calderbank, R. "Collaborative compressive X-ray image reconstruction." January 1, 2015. Full Text

Wang, L, Razi, A, Dias Rodrigues, M, Calderbank, R, and Carin, L. "Nonlinear information-theoretic compressive measurement design." January 1, 2014.

Calderbank, R, Das, S, Al-Dhahir, N, Diggavi, S, and IEEE, . "A novel full-rate full-diversity STBC with application to WiMAX." 2005.

Das, S, Al-Dhahir, N, Diggavi, S, Calderbank, R, and IEEE, . "Opportunistic space-time block codes." 2005.

Souvik, D, Thangaraj, A, McLaughlin, SW, and Calderbank, AR. "Linear-time decodable secrecy codes for binary erasure wiretap channels." January 1, 2005.

## Pages

With math equations that analyze brush strokes, new discoveries about the world's greatest art are possible. It took X-ray fluorescence spectroscopy and a painting algorithm to reveal the hidden portrait of a peasant underneath the painting of... read more »