Alexei Ashikhmin

Alexei Ashikhmin received the Ph.D. degree in electrical engineering from the Institute of Information Transmission Problems, Russian Academy of Science, Moscow, Russia, in 1994. His Ph.D. thesis was devoted to fast decoding algorithms of block and convolutional codes and their applications in communications systems.

From September 1995 to September 1996, he was with Mathematics and Computer Science Department of Delft University of Technology, Delft, The Netherlands. His research interests at that time were primarily focused on algebraic and combinatorial problems of error correcting codes, matroid theory, and secret sharing schemes.

From January 1997 to July 1999, he was a Postdoctoral Fellow at Computer, Information, and Communication (CIC-3) Group of Los Alamos National Laboratory, Los Alamos, NM, USA. During this time his research was mostly concentrated at that time recently emerged area of quantum error correcting codes and quantum information theory.

Since 1999, he has been with the Mathematics of Networks and Communications Research Department, Bell Laboratories, Alcatel-Lucent Technologies, Murray Hill, NJ. His current research interests include communications theory, large scale antenna arrays, information theory, classical and quantum error correcting codes.

Ph.D. in Electrical Engineering

• An Associate Editor of IEEE Transactions on Information Theory, 2011-2014
   
• An Associate Editor of IEEE Transactions on Information Theory, 2003-2006
   
• Guest Editor of IEEE Journal of Selected Topics in Signal Processing, Special Issue on Large-Scale MIMO Communication, 2014
   
• Adjunct Professor at Columbia University, New York, NY, 2005-2007
   
• Organizer of the Massive MIMO Communication Session at Communication Theory Workshop (CTW) 2014
   
• Organizer of BroadBand Access Networking Session at Annual Conference in Information Sciences and Systems (CISS) 2010
   
• Co-organizer of Workshop on Algebraic Coding Theory and Information Theory, DIMACS Center, Rutgers University, 2003
   
• Member of Technical Program Committee of the IEEE International Symposium on Information Theory (ISIT): ISIT 2005, ISIT 2006, ISIT 2007, ISIT 2008, ISIT 2009, ISIT 2010, ISIT 2011, ISIT 2014

• Member of Technical Program Committee: the International Symposium on Information Theory and Its Applications (ISITA) 2014
   
• Member of Technical Program Committee: GLOBECOME 2012
   
• Member of Technical Program Committee of the Radio and Wireless Symposium (RWS): RWS 2006, RWS 2007, RWS 2008
   
• Member of Technical Program Committee: XI International Symposium on Problems of Redundancy in Information and Control Systems, 2007
   
• Member of Technical Program Committee: International Wireless Communications and Mobile Computing Conference, 2006
   
• Member of Dissertation Thesis Committee, Electrical Engineering Department, Columbia University, 2006
   
• Ph.D. Thesis Reviewer, Department of Electrical Engineering-Systems, Tel-Aviv University, 2006
   
• Supervising Bell Labs Intern Students, 2000--2014

Signal Processing in Massive MIMO Systems,
Lu Lu, G. Y. Li, A. L. Swindlehurst, A. Ashikhmin, and R. Zhang, Special Issue on Large-Scale MIMO Communications, IEEE Journal of Selected Topics in Signal Processing, 2014 to appear.


Fidelity Lower Bounds for Stabilizer and CSS Quantum Codes
A. Ashikhmin, IEEE Trans. on Information Theory, 2014 to appear.

Inter-cell Interference in Noncooperative TDD Large Scale Antenna Systems
F. Fernandes, A. Ashikhmin, T. Marzetta, IEEE Journal of Selected Areas of Communications, Special Issue on Large-Scale Multiple Antenna Wireless Systems, vol. 31, pp. 192 - 201, 2009.

Analysis of Inverse Crosstalk Channel Estimation Using SNR Feedback,
P. Whiting, G. Kramer, C. Nuzman, A. Ashikhmin, A. van Wijngaarden, M. Zivkovic, IEEE Transactions on Signal Processing, vol.59 , pp. 1102-1115, 2011.

Channel Estimation and Linear Precoding in Multiuser Multiple-Antenna TDD Systems,
J. Jose, A. Ashikhmin, P. Whiting, S. Vishwanath, IEEE Transactions on Vehicular Technology, vol. 60, pp.2102-2116, 2011.

Pilot Contamination and Precoding in Multi-Cell TDD Systems,
J. Jose, A. Ashikhmin, T. Marzetta, S. Vishwanath, IEEE Transactions on Wireless Communications, vol.10, pp.2640-2651, 2011.

Grassmannian Packings from Operator Reed-Muller Codes,
A. Ashikhmin, A. R. Calderbank, IEEE Transactions on Information Theory, vol.56, pp.5689-5714, 2010.

Approaching MIMO Capacity Using Bitwise Markov Chain Monte Carlo Detection,
R.-R. Chen, R. Peng, A. Ashikhmin, B. Farhang-Boroujeny, IEEE Transactions on Communications, vol.58, pp.423-428, 2010.

Analysis of Inverse Crosstalk Channel Estimation Using SNR Feedback,
P. Whiting, G. Kramer, C. Nuzman, A. Ashikhmin, A. de Lind van Wijngaarden, M. Zivkovic, IEEE Transactions on Signal Processing, vol.58, pp.1-34, 2010.

Concatenated Coded Modulation for Optical Communications Systems,
M. Magarini, R.-J. Essiambre, B. Basch, A. Ashikhmin, G. Kramer, A. de Lind van Wijngaarden, IEEE Photonics Technology Letters vol.22, pp.1244-1246, 2010.

Iterative Estimation and Decoding for the Multi-Path Channels with RAKE Reception,
N. Sharma, A. Ashikhmin, IEEE Trans. on Communications, vol. 56, Issue 9, pp. 1398-1403, 2008.

LDPC Codes for Flat Rayleigh Fading Channels with Channel Side Information,
Y. Jian, A. Ashikhmin, N. Sharma, IEEE Trans. on Communications, vol. 56, Issue 8, pp. 1207--1213, 2008.

EXIT Functions of Hadamard Components in Repeat-Zigzag-Hadamard (RZH) Codes,
K. Li, X. Wang, A. Ashikhmin, IEEE Trans. on Information Theory, vol. 54, Issue 4, pp. 1773--1785, 2008.

Impact of Soft Channel Construction on Iterative Channel Estimation and Data Decoding for Multicarrier Systems,
Y.-N. Lee, A. Ashikhmin, J.-T. Chen, IEEE Trans. on Wireless Communications, vol. 7, Issue 7, pp. 2762--2770, 2008.

Extremal Problems of Information Combining
Y. Jiang, A. Ashikhmin, R. Koetter, A. Singer, IEEE Trans. on Information Theory, vol. 54, Issue 1, 2008.

Design and Development of a Terrestrial Digital Video Broadcast Demodulation Core: An International Collaboration Effort
A. Ashikhmin, A. J. de Lind van Wijngaarden, Z. Haibo, T. L. Marzetta, C. Qinghong, P. A. Wilford, S.-R. Zhou, M. A. Zuniga, E. Zurankski,
Bell Labs Technical Journal, vol. 12, Issue 2, pp. 97-118, 2007.

Performance results for digital subscriber line precoders
Phil Whiting, Alexei Ashikhmin, Sem Borst, Jean Jennen, Gerhard Kramer,
Adriaan J. de Lind van Wijngaarden, Miroslav Zivkovic Bell Labs Technical Journal vol. 13, Issue 1, pp. 147-161, 2008

Foundations of Quantum Error Correction
A. Ashikhmin, S. Litsyn, AMS/IP Studies in Advanced Mathematics, vol. 41: Recent Trends in Coding Theory and its Applications, pp. 151-185, 2007.

Decoding of Expander Codes at Rates Close to Capacity
A. Ashikhmin, V. Skachek IEEE Trans. on Information Theory, vol.52, pp. 5475-5485, 2006.

Analysis of Low-Density Parity-Check codes based on EXIT functions
E. Sharon, A. Ashikhmin, S. Litsyn, IEEE Trans. on Communications, vol. 54, pp. 1407-1414, 2006.

EXIT Functions for Binary Input Memoryless Symmetric Channels
E. Sharon, A. Ashikhmin, S. Litsyn, IEEE Trans. on Communications, vol. 54, pp.1207-1214, 2006.

Bounds of distance distributions in codes of known size
A. Ashikhmin, G. Cohen, M. Krivelevich, and S. Litsyn IEEE Trans. on Information Theory, vol. 51, pp. 250-258, 2005.

Simple MAP decoding of first order Reed-Muller and Hamming codes
A. Ashikhmin and S. Litsyn, IEEE Trans. on Information Theory, vol. 50, pp. 1812-1818, 2004.

Design of low-density parity-check codes for modulation and detection,
S. ten Brink, G. Kramer, and A. Ashikhmin, IEEE Trans. on Information Theory, vol. 52, pp. 670-678, 2004.

Extrinsic information transfer functions: model and erasure channel properties,
A. Ashikhmin, G. Kramer, and Stephan ten Brink, IEEE Trans. on Information Theory, vol. 50, pp. 2657-2674, 2004.

Spectral efficiency of coded phase-shift keying for fiber-optic communication,
G. Kramer, A. Ashikhmin, A.J. van Wijngaarden, and X. Wei, J. Lightwave Techn., vol. 21, no. 10, pp. 2438-2445, Oct. 2003.

Introduction to quantum error correction
E. Knill, R. Laflamme, A. Ashikhmin, H. Barnum, L. Viola, and W. Zurek, LA Science, 27(LAUR-01-6115 and LAUR-02-4311), pp. 188-225, 2002.

Bounds on the Covering Radius of Linear Codes
A. Ashikhmin and Alexander Barg, Designs, Codes and Cryptography, vol. 27, pp. 261-269, 2002.

Linear Codes with Many Light Vectors
A. Ashikhmin, A. Barg, and S. G. Vladuts, Journ. Combin. Theory Ser. A, Series A, vol. 96, pp. 369-399, 2001.

Nonbinary Quantum Stabilizer Codes
A. Ashikhmin and Emanuel Knill, IEEE Trans. on Information Theory, vol. 47, pp. 3065-3072, 2001.

Estimates of the Distance Distribution of Nonbinary Codes, with Applications
A. Ashikhmin, A. Barg, and S. Litsyn, Codes and Association Schemes, AMS, vol. 56, pp. 287-303, 2001.

Asymptotically Good Quantum Codes
A. Ashikhmin, M. A. Tsfasman, and S. Litsyn, Phys. Rev. A, vol. 63, pp. 032311-1-032311-5, 2001.

Estimates of the Distance Distribution of Codes and Designs
A. Ashikhmin, A. Barg, and S. Litsyn, IEEE Trans. on Information Theory, vol. 47, March, pp. 1050-1062, 2001.

A New Upper Bound on the Reliability Function of the Gaussian Channel
A. Ashikhmin, A. Barg, and S. Litsyn, IEEE Trans. on Information Theory, September, no 6, pp. 1945-1962, 2000.

Quantum Error Detection I: Statement of the Problem
A. Ashikhmin, A. Barg, E. Knill, and S. Litsyn, IEEE Trans. on Information Theory, May, no 3, pp. 778-789, 2000.

Quantum Error Detection II: Lower and Upper Bounds
A. Ashikhmin, A. Barg, E. Knill, and S. Litsyn, IEEE Trans. on Information Theory, May, no 3, pp. 789-801, 2000.

A New Upper Bound on Codes Decodable into Size-2 Lists
A. Ashikhmin, A. Barg, and S. Litsyn, DIMACS report 99-05. Numbers, Information and Complexity, 1999.

On Relations Between Covering Radius and Dual Distance
A. Ashikhmin, I. Honkala, T. Laihonen, and S. Litsyn, IEEE Trans. on Information Theory, September, no. 6, pp. 1808-1816, 1999.

New Upper Bounds on Generalized Weights
A. Ashikhmin, A. Barg, and S. Litsyn, IEEE Trans. on Information Theory, May, no. 4, pp. 1258-1263, 1999.

Upper Bounds on the Size of Quantum Codes
A. Ashikhmin and S. Litsyn, IEEE Trans. on Inf. Theory, May, no. 4, pp. 1206-1216, 1999.

Binomial Moments of the Distance Distribution: Bounds and Applications
A. Ashikhmin and A. Barg, IEEE Trans. on Inf. Theory, March, no. 2, pp. 438-453, 1999.

Binomial Moments of the Distance Distribution and the Probability of Undetected Error
A. Barg and A. Ashikhmin, Designs, Codes and Cryptography, vol.16, no. 2, pp.103-116, 1999.

Generalized Hamming Weights of Galois Ring Linear Codes
A. Ashikhmin, Designs, Codes and Cryptography, vol. 14. no.2, pp.107-127, 1998.

On Delsarte Inequalities
A. Ashikhmin and J. Simonis, Linear Algebra and its Applications, vol. 269, pp. 197-217, 1998.
Also REPORT 96-87, the Faculty of Technical Mathematics and Informatics, Delft University of Technology, ISSN 0922-5641.

Almost Affine Codes
J. Simonis and A. Ashikhmin, Designs, Codes and Cryptography, vol.14, no.2, pp.179-197, 1998.

Minimal Vectors in Linear Codes
A. Ashikhmin and A. Barg, IEEE Trans. on Inf. Theory, Sept, no. 5, pp. 2010-2018, 1998 . Also Bielefeld, SFB 343 Diskrete Strukturen in der Mathematik, preprint 94-113, 1994, available online at
http://www.mathematik.uni-bielefeld.de/sfb343/preprints.

Fast Decoding of Non-Binary First Order Reed-Muller Codes
A. Ashikhmin and S. Litsyn, Applicable Algebra in Engineering, Communication and Computing, vol. 7, no. 4, pp.299-308, 1996.

Fast Decoding Algorithms for First Order Reed-Muller and Related Codes A. Ashikhmin and S. Litsyn, Designs, Codes and Cryptography, vol. 7, no. 3, pp.187-214, 1996.

Variations on Minimal Codewords in Linear Codes
A. Ashikhmin, A. Barg, G. Cohen, and L. Huguet, Lecture Notes in Computer Science, no. 948, Springer Verlag, pp.96-105, 1995.

Samples of Unit-Memory Codes Over Z_4
A. Ashikhmin and V. Zyablov in: Proc. 1994 IEEE International Workshop on Information Theory Moscow, Russia, pp. 119-121, 1994.

Partial Unit Memory Codes on the Base of Subcodes of Hadamard Codes
A. Ashikhmin and V. Zyablov in: Advances in Error Control, Cryptology, and Speech Compression. Lecture Notes in Computer Science, no. 829, pp. 69-73, 1994.

A Fast Search for the Maximum Element of the Fourier Spectrum
A. Ashikhmin and S. Litsyn in: Algebraic Coding. Lecture Notes in Computer Science, no. 573, pp. 134-141, 1991.

Conference Papers Conference papers are usually numerous and allow one to significantly extend his/her list of publications. At the same time conference papers typically appear, at a later stage, as journal papers. Hence, I do not see any reason to present my conference papers here.

A.Ashikhmin, T.Marzetta,  ``Interference Reduction In Wireless Networks,''  U.S. Patent US8724610, 2014.

A.Ashikhmin, T.Marzetta,  ``Power Allocation In A Wireless System With Base Stations Having Antenna Arrays,''  U.S. Patent US8620373 , 2013.

P.Whiting,  A.Ashikhmin, ``Crosswalk Estimation And Power Setting Based On Interpolation In A Multi-Channel Communication System,''  U.S. Patent US8498408, 2013.

A.Ashikhmin, ``Complex Vector Quantization Codebook For Use In Downlink Multi-User MIMO Mobile Broadcast Systems,'' U.S. Patent 8411777, 2013.

T.Marzetta,  A.Ashikhmin,  ``MIMO System Having A Plurality Of
Service Antennas For Data Transmission And Reception And Method
There of,''  U.S. Patent 8594215, 2013.

A.Ashikhmin, P.Whiting, ``Channel Estimation In A Multi-Channel Communication System Using Pilot Signals Having Quasi-Orthogonal Subpilots,''  U.S. Patent 8422541, 2013.

A.Ashikhmin, ``Providing Feedback In A MIMO System,''
 U.S. Patent 8270515, 2012.

M.Zzivkovic,  A.Ashikhmin, A.Wijgaarden, G.Kramer, P.Whiting,
``Interpolation Method And Apparatus For Increasing Efficiency Of Crosstalk Estimation,'',
 U.S. Patent 8300726, 2012.

 C.Nuzman,  A.Ashikhmin, A.Wijgaarden, G.Kramer, P.Whiting,
``Fast Seamless Joining Of Channels In A Multi-Channel Communication System,''  U.S. Patent 8300518, 2012.

A.Ashikhmin, T.Marzetta,
``Pilot Signal Allocation Method and Apparatus for Multi-User Wireless Systems,''  U.S. Patent 8179779, 2012.

J.Jose,  A.Ashikhmin,  T.Marzetta,
``Methods for Reducing Inter-Cell Interference by Precoding Signals for Transmission in Wireless MIMO System ,''
 U.S. Patent 8140070, 2012.

A.Ashikhmin,  ``Methods for Precoding Signals for Transmission in Wireless MIMO System ,''
 U.S. Patent 8107550, 2012.

P.Whiting,  A.Ashikhmin,
``Power Control Using Denoised Crosswalk Estimates in a Multi-Channel Communication System,''
 U.S. Patent 8094745, 2012.

A.van Wijngaarden,  A.Ashikhmin,  T.Marzetta,  ``Method and Apparatus for Synchronizing a Receiver ,''  U.S. Patent 8054925, 2011.

C.Nuzman,  A.Ashikhmin,  et. al., ``Flexible Orthogonal Crosstalk Estimation Targeting Subsets of DSL Lines,''  U.S. Patent 8018868, 2011.


A.Ashikhmin, ``Method and Apparatus for Quantizing Complex Vectors in Communication Systems,''  U.S. Patent 7995666, 2011.

A.Ashikhmin, J.Jose, P.Whiting,  ``MIMO Communication System with User Scheduling and Modified Precoding Based on Channel Vector Magnitude,''    U.S. Patent 7907552, 2011.

M.Zzivkovic,  A.Ashikhmin, et. al., ``Method and Apparatus for Providing Synchronization in a Multi-Line Communication System,''  U.S. Patent 7860044, 2010.

A.Ashikhmin, P.Whiting,
A.vanWijngaarden, ``Crosstalk Estimation Methods and Apparatus Using Auxiliary
Time-Domain Signals,''  U.S. Patent 7809070, 2010.

A.Ashikhmin, N.Sharma, ``Methods and Apparatus for Generating Channel Estimate Using
a Non-Pilot Portion of a Signal,''  U.S. Patent 7660568, 2010.

A.Ashikhmin,  ``Coding in a MIMO Communication Systems,''  U.S. Patent 7599444, 2009.

A.Ashikhmin, N.Gopalakrishnan, et. al., ``Method and Apparatus for Link Error Prediction in a Communication System,''  U.S. Patent 7860044, 2008.

A.Ashikhmin,  G.Kramer, and
S.ten Brink, ``Methods and  Apparatus for Communication Using Generalized
Low Density Parity Check Codes,''  U.S. Patent 7251769, 2007.

A.Ashikhmin, S.Litsyn, "Method and Apparatus
for Map Decoding of Binary Hamming Codes and Related Error Correction
Codes",  U.S. Patent 7168028, 2007.

A.Ashikhmin,  G.Kramer, and S.ten Brink, ``MIMO Systems
Having a Channel Decoder Matched to a MIMO Detector'',  US
patent  7013116 , 2006.

A.Ashikhmin ``Method and Apparatus
for MAP Decoding of First Order Reed-Muller Codes and Related Error
Correction Codes,''  US patent  6990626, 2006.