**Capacity of complexity-constrained noise-free CDMA**

IEEE Communication Letters, vol. 10, pp. 10-12 January 2006

Authors: Ori Shental, Ido Kanter, Anthony J. Weiss

An interference-limited noise-free CDMA downlink channel operating under a complexity constraint on the

receiver is introduced. According to this paradigm, detected bits, obtained by performing hard decisions

directly on the channel's matched filter output, must be the same as the transmitted binary inputs. This

channel setting, allowing the use of the simplest receiver scheme, seems to be worthless, making reliable

communication at any rate impossible. We prove, by adopting statistical mechanics notion, that in the large-

system limit such a complexity-constrained CDMA channel gives rise to a non-trivial Shannon-theoretic

capacity, rigorously analyzed and corroborated using finite-size channel simulations.

**Parallel vs. sequential belief propagation decoding of LDPC codes over GF(q) and Markov sources**

," Physica A: Statistical Mechanics and its Applications, vol. 378, issue 2, pp. 329-335 May 2007

Authors: Ori Shental, Nadav Yacov, Hadar Efraim, Haggai Kfir, Ido Kanter

A sequential updating scheme (SUS) for belief propagation (BP) decoding of LDPC codes over Galois

fields, GF(q)GF(q), and correlated Markov sources is proposed and compared with the standard parallel

updating scheme (PUS). A thorough experimental study of various transmission settings indicates that

the convergence rate, in iterations, of the BP algorithm for the SUS is about one half of that for the PUS,

independent of the finite field size q . Moreover, this 12 factor appears regardless of the correlations of

the source and the channel's noise model, while the error correction performance remains unchanged.

These results may imply on the ‘universality’ of the one half convergence speed-up of SUS decoding. A

comparison to the dynamics of physical spin systems is also addressed.

**Information and multiaccess interference in a complexity-constrained vector channel**

Journal of Physics A: Mathematical and Theoretical, vol. 40, issue 20, pp. 5241-5260 May 2007

Authors: Ori Shental, Rodrigo de Miguel

A noisy vector channel operating under a strict complexity constraint at the receiver is introduced. According

to this constraint, detected bits, obtained by performing hard decisions directly on the channel's matched

filter output, must be the same as the transmitted binary inputs. An asymptotic analysis is carried out using

mathematical tools imported from the study of neural networks, and it is shown that, under a bounded noise

assumption, such complexity-constrained channel exhibits a non-trivial Shannon-theoretic capacity. It is

found that performance relies on rigorous interference-based multiuser cooperation at the transmitter and that

this cooperation is best served when all transmitters use the same amplitude.

**Improved detection in CDMA for biased sources**

Journal of Physics A: Mathematical and Theoretical, vol. 40, issue 33, pp. 9977-9985 August 2008

Authors: Ori Shental, Hadar Efraim, Nadav Yacov, Ido Kanter, David Saad

We consider the detection of biased information sources in the ubiquitous code-division multiple-access

(CDMA) scheme. We propose a simple modification to both the popular single-user matched-filter detector

and a recently introduced near-optimal message-passing-based multiuser detector. This modification allows

for detecting modulated biased sources directly with no need for source coding. Analytical results and

simulations with excellent agreement are provided, demonstrating substantial improvement in bit error rate

in comparison with the unmodified detectors and the alternative of source compression. The robustness of

error-performance improvement is shown under practical model settings, including bias estimation mismatch

and finite-length spreading codes.

**Discrete-input two-dimensional Gaussian channels with memory: Estimation and information rates via**

**graphical models and statistical mechanics**

IEEE Transactions on Information Theory, vol. 54, no. 4, pp. 1500-1513 April 2008

Authors: Ori Shental, , Shlomo Shamai (Shitz), Ido Kanter, Anthony J. Weiss, Yair Weiss

Discrete-input two-dimensional (2D) Gaussian channels with memory represent an important class of

systems, which appears extensively in communications and storage. In spite of their widespread use, the

workings of 2D channels are still very much unknown. In this work, we try to explore their properties from

the perspective of estimation theory and information theory. At the heart of our approach is a mapping of

a 2D channel to an undirected graphical model, and inferring its a posteriori probabilities (APPs) using

generalized belief propagation (GBP). The derived probabilities are shown to be practically accurate, thus

enabling optimal maximum a posteriori (MAP) estimation of the transmitted symbols. Also, the Shannontheoretic information rates are deduced either via the vector-wise Shannon-McMillan-Breiman (SMB)

theorem, or via the recently derived symbol-wise Guo-Shamai-Verdu (GSV) theorem. Our approach is also

described from the perspective of statistical mechanics, as the graphical model and inference algorithm

have their analogues in physics. Our experimental study, based on common channel settings taken from

cellular networks and magnetic recording devices, demonstrates that under nontrivial memory conditions,

the performance of this fully tractable GBP estimator is almost identical to the performance of the optimal

MAP estimator. It also enables a practically accurate simulation-based estimate of the information rate.

Rationalization of this excellent performance of GBP in the 2-D Gaussian channel setting is addressed.

**Can quantization improve error performance in CDMA?**

Journal of Physics A: Mathematical and Theoretical, vol. 41, issue 36, pp. 365004 September 2008

Authors: Ori Shental, Hadar Efraim, Nadav Yacov, Ido Kanter

A K-user direct-sequence spread-spectrum code-division multiple-access (CDMA) system with (q log2K)-

bit baseband signal quantization at the demodulator is considered. It is shown that additionally quantizing

the K + 1 level output signal of the CDMA modulator into q bits improves significantly the average biterror performance in a non-negligible regime of noise variance, #2, and user load, #, under various system

settings, like additive white Gaussian noise (AWGN), Rayleigh fading, single-user detection, multi-user

detection, random and orthogonal spreading codes. For the case of single-user detection in random spreading

AWGN-CDMA, this regime is identified explicitly as , where #(q) is a certain pre-factor depending on q, and

the associated BER improvement is derived analytically for q = 1, 2. For the other examined system settings,

computer simulations are provided, corroborating this interesting behavior.

**Thermodynamic derivation of the mutual information for discrete symmetric channels**

Journal of Physics A: Mathematical and Theoretical, vol. 41, issue 40, pp. 402002 October 2008

Authors: Ori Shental, Ido Kanter, Hadar Efraim, Nadav Yacov

The mutual information for the binary symmetric channel as well as for the discrete symmetric channel

consisting of 4-input/output (I/O) symbols is explicitly calculated using the generalized second law of

thermodynamics which was recently proposed by the first two authors. For equiprobable I/O the mutual

information of the examined channels has a very simple thermodynamic form as a function of the internal

energy of the channel. We prove that this simple form of the mutual information governs the class of discrete

memoryless symmetric communication channels with equiprobable I/O symbols.

**Shannon meets Carnot: Generalized second thermodynamic law**

Euro-Physics Letters (EPL), vol. 85, pp. 10006 January 2009

Authors: Ori Shental, Ido Kanter

The classical thermodynamic laws fail to capture the behavior of systems with the energy Hamiltonian being

an explicit function of the temperature. Such Hamiltonian arises, for example, in modeling information

processing systems, like communication channels, as thermal systems. Here we generalize the second

thermodynamic law to encompass systems with temperature-dependent energy levels, , where denotes

averaging over the Boltzmann distribution and reveal a new definition to the basic notion of temperature.

Furthermore, it is shown that the principles of the traditional thermodynamic framework are maintained, e.g.,

two systems in equilibrium have the same generalized temperature and heat always flows from high to low

generalized temperature. This generalization enables to express, for instance, the mutual information of the

Gaussian channel as a consequence of the laws of nature —the laws of thermodynamics.

**An efficient CDMA decoder for correlated information sources**

Journal of Statistical Mechanics: Theory and Experiment, P07039 July 2009

Authors: Ori Shental, Hadar Efraim, Nadav Yacov, Ido Kanter

We consider the detection of correlated information sources in the ubiquitous code-division multiple-access

(CDMA) scheme. We propose a message-passing based scheme for detecting correlated sources directly,

with no need for source coding. The detection is done simultaneously over a block of transmitted binary

symbols (word). Simulation results are provided, demonstrating a substantial improvement in bit error rate

in comparison with the unmodified detector and the alternative of source compression. The robustness of the

error-performance improvement is shown under practical model settings, including wrong estimation of the

generating Markov transition matrix and finite-length spreading codes.

**Mutual information via thermodynamics: Three different approaches**

Journal of Statistical Mechanics: Theory and Experiment January 2010

Authors: Ori Shental, Yitzhak (Tzahi) Peleg, Hadar Efraim, Ido Kanter

Three different approaches for deriving mutual information via thermodynamics are presented, where the

temperature-dependent energy is given by (a) , (b) or (c) . All approaches require the extension of the

traditional physical framework and the modification of the second law of thermodynamics. A realization

of a physical system with an effective temperature-dependent Hamiltonian is discussed and followed by a

suggestion of a physical information–heat engine.

**Statistical-mechanics approach to wide-band digital communication**

Physics Review E December 2010

Authors: Ori Shental, Hadar Efraim, Yitzhak (Tzahi) Peleg, Ido Kanter, Yoshiyuki Kabashima

The emerging popular scheme of fourth generation wireless communication, orthogonal frequency-division

multiplexing, is mapped onto a variant of a random field Ising Hamiltonian and results in an efficient

physical intercarrier interference (ICI) cancellation decoding scheme. This scheme is based on Monte Carlo

(MC) dynamics at zero temperature as well as at the Nishimori temperature and demonstrates improved bit

error rate (BER) and robust convergence time compared to the state of the art ICI cancellation decoding

scheme. An optimal BER performance is achieved with MC dynamics at the Nishimori temperature but

with a substantial computational cost overhead. The suggested ICI cancellation scheme also supports the

transmission of biased signals.

**Generalized belief propagation receiver for near-optimal detection of two-dimensional channels with**

**memory**

Proc. 2004 IEEE Information Theory Workshop (ITW), San Antonio, Texas, USA October 2004

Authors: Ori Shental, , Anthony J. Weiss, Yair Weiss

**On the achievable information rates of two-dimensional channels with memory**

Proc. 2005 IEEE Int. Symp. on Inform. Theory (ISIT), Adelaide, Australia September 2005

Authors: Ori Shental, , Shlomo Shamai (Shitz)

**Optimum asymptotic multiuser efficiency of pseudo-orthogonal randomly spread CDMA**

Proc. WIC 27th Symposium on Information Theory in the Benelux (SITB), Noordwijk, The Netherlands June

2006

Authors: Ori Shental, Ido Kanter

**Outsourcing the complexity of detection in MIMO channels**

Proc. IEEE Information Theory Workshop (ITW), Chengdu, China October 2006

Authors: Ori Shental, Rodrigo de Miguel, Ido Kanter, Ralf R. Muller

**Linear detection via belief propagation**

Proc. 45th Annual Allerton Conference on Communication, Control, and Computing, Monticello, IL,

USA September 2007

Authors: Ori Shental, Danny Bickson, Paul H. Siegel, Jack K. Wolf, Danny Dolev

**Gaussian belief propagation solver for systems of linear equations**

Proc. 2008 IEEE Int. Symp. on Inform. Theory (ISIT), Toronto, Canada July 2008

Authors: Ori Shental, Danny Bickson, Paul H. Siegel, Jack K. Wolf, Danny Dolev

**Gaussian belief propagation based multiuser detection**

Proc. 2008 IEEE Int. Symp. on Inform. Theory (ISIT), Toronto, Canada July 2008

Authors: Ori Shental, Danny Bickson, Paul H. Siegel, Jack K. Wolf, Danny Dolev

**Dual transceiver quantization can improve error performance in CDMA**

Proc. 10th International Symposium on Spread Spectrum Techniques and Applications (ISSSTA) August 2008

Authors: Ori Shental, Hadar Efraim, Nadav Yacov, Ido Kanter

**Polynomial linear programming with Gaussian belief**

Proc. 46th Annual Allerton Conference on Communication, Control, and Computing, Monticello, IL,

USA September 2008

Authors: Ori Shental, Danny Bickson, Danny Dolev

**Distributed Kalman filter via Gaussian belief propagation**

Proc. 46th Annual Allerton Conference on Communication, Control, and Computing, Monticello, IL,

USA September 2008

Authors: Ori Shental, Danny Bickson, Danny Dolev

**The second law of thermodynamics for communication channels**

Proc. IEEE 25-th Convention of Electrical and Electronics Engineers in Israel, Eilat, Israel December 2008

Authors: Ori Shental, Ido Kanter

**Compressed sensing channel estimation in OFDM with applications to mobile TV**

Proc. Qualcomm Technology Forum (QTECH), San Diego, CA, USA May 2009

Authors: Ori Shental, Alecsander Eitan

**Sparse representation of white Gaussian noise with application to L0-norm decoding in noisy compressed**

**sensing**

Proc. Qualcomm Technology Forum (QTECH), San Diego, CA, USA, June 2011 June 2011

Authors: Ori Shental

**Generalized belief propagation receiver for near-optimal detection of two-dimensional channels with**

**memory**

Optimization and Inference in Machine Learning and Physics Workshop (PASCAL), Lavin,

Switzerland January 2005

Authors: Ori Shental, , Anthony J. Weiss, Yair Weiss

**Comments on why generalized BP serves so remarkably in 2-D channels**

Proc. Information Theory and Applications (ITA) Workshop, San Diego, CA, USA January 2007

Authors: Ori Shental, , Shlomo Shamai (Shitz), Ido Kanter, Anthony J. Weiss, Yair Weiss

**A message-passing solver for linear systems**

Proc. Information Theory and Applications (ITA) Workshop, San Diego, CA, USA January 2008

Authors: Ori Shental, Danny Bickson, Paul H. Siegel, Jack K. Wolf, Danny Dole

system limit such a complexity-constrained CDMA channel gives rise to a non-trivial Shannon-theoretic

capacity, rigorously analyzed and corroborated using finite-size channel simulations.

**Parallel vs. sequential belief propagation decoding of LDPC codes over GF(q) and Markov sources**

," Physica A: Statistical Mechanics and its Applications, vol. 378, issue 2, pp. 329-335 May 2007

Authors: Ori Shental, Nadav Yacov, Hadar Efraim, Haggai Kfir, Ido Kanter

A sequential updating scheme (SUS) for belief propagation (BP) decoding of LDPC codes over Galois

fields, GF(q)GF(q), and correlated Markov sources is proposed and compared with the standard parallel

updating scheme (PUS). A thorough experimental study of various transmission settings indicates that

the convergence rate, in iterations, of the BP algorithm for the SUS is about one half of that for the PUS,

independent of the finite field size q . Moreover, this 12 factor appears regardless of the correlations of

the source and the channel's noise model, while the error correction performance remains unchanged.

These results may imply on the ‘universality’ of the one half convergence speed-up of SUS decoding. A

comparison to the dynamics of physical spin systems is also addressed.

**Information and multiaccess interference in a complexity-constrained vector channel**

Journal of Physics A: Mathematical and Theoretical, vol. 40, issue 20, pp. 5241-5260 May 2007

Authors: Ori Shental, Rodrigo de Miguel

A noisy vector channel operating under a strict complexity constraint at the receiver is introduced. According

to this constraint, detected bits, obtained by performing hard decisions directly on the channel's matched

filter output, must be the same as the transmitted binary inputs. An asymptotic analysis is carried out using

mathematical tools imported from the study of neural networks, and it is shown that, under a bounded noise

assumption, such complexity-constrained channel exhibits a non-trivial Shannon-theoretic capacity. It is

found that performance relies on rigorous interference-based multiuser cooperation at the transmitter and that

this cooperation is best served when all transmitters use the same amplitude.

**Improved detection in CDMA for biased sources**

Journal of Physics A: Mathematical and Theoretical, vol. 40, issue 33, pp. 9977-9985 August 2008

Authors: Ori Shental, Hadar Efraim, Nadav Yacov, Ido Kanter, David Saad

We consider the detection of biased information sources in the ubiquitous code-division multiple-access

(CDMA) scheme. We propose a simple modification to both the popular single-user matched-filter detector

and a recently introduced near-optimal message-passing-based multiuser detector. This modification allows

for detecting modulated biased sources directly with no need for source coding. Analytical results and

simulations with excellent agreement are provided, demonstrating substantial improvement in bit error rate

in comparison with the unmodified detectors and the alternative of source compression. The robustness of

error-performance improvement is shown under practical model settings, including bias estimation mismatch

and finite-length spreading codes.

**Discrete-input two-dimensional Gaussian channels with memory: Estimation and information rates via**

**graphical models and statistical mechanics**

IEEE Transactions on Information Theory, vol. 54, no. 4, pp. 1500-1513 April 2008

Authors: Ori Shental, , Shlomo Shamai (Shitz), Ido Kanter, Anthony J. Weiss, Yair Weiss

Discrete-input two-dimensional (2D) Gaussian channels with memory represent an important class of

systems, which appears extensively in communications and storage. In spite of their widespread use, the

workings of 2D channels are still very much unknown. In this work, we try to explore their properties from

the perspective of estimation theory and information theory. At the heart of our approach is a mapping of

a 2D channel to an undirected graphical model, and inferring its a posteriori probabilities (APPs) using

generalized belief propagation (GBP). The derived probabilities are shown to be practically accurate, thus

enabling optimal maximum a posteriori (MAP) estimation of the transmitted symbols. Also, the Shannontheoretic information rates are deduced either via the vector-wise Shannon-McMillan-Breiman (SMB)

theorem, or via the recently derived symbol-wise Guo-Shamai-Verdu (GSV) theorem. Our approach is also

described from the perspective of statistical mechanics, as the graphical model and inference algorithm

have their analogues in physics. Our experimental study, based on common channel settings taken from

cellular networks and magnetic recording devices, demonstrates that under nontrivial memory conditions,

the performance of this fully tractable GBP estimator is almost identical to the performance of the optimal

MAP estimator. It also enables a practically accurate simulation-based estimate of the information rate.

Rationalization of this excellent performance of GBP in the 2-D Gaussian channel setting is addressed.

**Can quantization improve error performance in CDMA?**

Journal of Physics A: Mathematical and Theoretical, vol. 41, issue 36, pp. 365004 September 2008

Authors: Ori Shental, Hadar Efraim, Nadav Yacov, Ido Kanter

A K-user direct-sequence spread-spectrum code-division multiple-access (CDMA) system with (q log2K)-

bit baseband signal quantization at the demodulator is considered. It is shown that additionally quantizing

the K + 1 level output signal of the CDMA modulator into q bits improves significantly the average biterror performance in a non-negligible regime of noise variance, #2, and user load, #, under various system

settings, like additive white Gaussian noise (AWGN), Rayleigh fading, single-user detection, multi-user

detection, random and orthogonal spreading codes. For the case of single-user detection in random spreading

AWGN-CDMA, this regime is identified explicitly as , where #(q) is a certain pre-factor depending on q, and

the associated BER improvement is derived analytically for q = 1, 2. For the other examined system settings,

computer simulations are provided, corroborating this interesting behavior.

**Thermodynamic derivation of the mutual information for discrete symmetric channels**

Journal of Physics A: Mathematical and Theoretical, vol. 41, issue 40, pp. 402002 October 2008

Authors: Ori Shental, Ido Kanter, Hadar Efraim, Nadav Yacov

The mutual information for the binary symmetric channel as well as for the discrete symmetric channel

consisting of 4-input/output (I/O) symbols is explicitly calculated using the generalized second law of

thermodynamics which was recently proposed by the first two authors. For equiprobable I/O the mutual

information of the examined channels has a very simple thermodynamic form as a function of the internal

energy of the channel. We prove that this simple form of the mutual information governs the class of discrete

memoryless symmetric communication channels with equiprobable I/O symbols.

**Shannon meets Carnot: Generalized second thermodynamic law**

Euro-Physics Letters (EPL), vol. 85, pp. 10006 January 2009

Authors: Ori Shental, Ido Kanter

The classical thermodynamic laws fail to capture the behavior of systems with the energy Hamiltonian being

an explicit function of the temperature. Such Hamiltonian arises, for example, in modeling information

processing systems, like communication channels, as thermal systems. Here we generalize the second

thermodynamic law to encompass systems with temperature-dependent energy levels, , where denotes

averaging over the Boltzmann distribution and reveal a new definition to the basic notion of temperature.

Furthermore, it is shown that the principles of the traditional thermodynamic framework are maintained, e.g.,

two systems in equilibrium have the same generalized temperature and heat always flows from high to low

generalized temperature. This generalization enables to express, for instance, the mutual information of the

Gaussian channel as a consequence of the laws of nature —the laws of thermodynamics.

**An efficient CDMA decoder for correlated information sources**

Journal of Statistical Mechanics: Theory and Experiment, P07039 July 2009

Authors: Ori Shental, Hadar Efraim, Nadav Yacov, Ido Kanter

We consider the detection of correlated information sources in the ubiquitous code-division multiple-access

(CDMA) scheme. We propose a message-passing based scheme for detecting correlated sources directly,

with no need for source coding. The detection is done simultaneously over a block of transmitted binary

symbols (word). Simulation results are provided, demonstrating a substantial improvement in bit error rate

in comparison with the unmodified detector and the alternative of source compression. The robustness of the

error-performance improvement is shown under practical model settings, including wrong estimation of the

generating Markov transition matrix and finite-length spreading codes.

**Mutual information via thermodynamics: Three different approaches**

Journal of Statistical Mechanics: Theory and Experiment January 2010

Authors: Ori Shental, Yitzhak (Tzahi) Peleg, Hadar Efraim, Ido Kanter

Three different approaches for deriving mutual information via thermodynamics are presented, where the

temperature-dependent energy is given by (a) , (b) or (c) . All approaches require the extension of the

traditional physical framework and the modification of the second law of thermodynamics. A realization

of a physical system with an effective temperature-dependent Hamiltonian is discussed and followed by a

suggestion of a physical information–heat engine.

**Statistical-mechanics approach to wide-band digital communication**

Physics Review E December 2010

Authors: Ori Shental, Hadar Efraim, Yitzhak (Tzahi) Peleg, Ido Kanter, Yoshiyuki Kabashima

The emerging popular scheme of fourth generation wireless communication, orthogonal frequency-division

multiplexing, is mapped onto a variant of a random field Ising Hamiltonian and results in an efficient

physical intercarrier interference (ICI) cancellation decoding scheme. This scheme is based on Monte Carlo

(MC) dynamics at zero temperature as well as at the Nishimori temperature and demonstrates improved bit

error rate (BER) and robust convergence time compared to the state of the art ICI cancellation decoding

scheme. An optimal BER performance is achieved with MC dynamics at the Nishimori temperature but

with a substantial computational cost overhead. The suggested ICI cancellation scheme also supports the

transmission of biased signals.

**Generalized belief propagation receiver for near-optimal detection of two-dimensional channels with**

**memory**

Proc. 2004 IEEE Information Theory Workshop (ITW), San Antonio, Texas, USA October 2004

Authors: Ori Shental, , Anthony J. Weiss, Yair Weiss

**On the achievable information rates of two-dimensional channels with memory**

Proc. 2005 IEEE Int. Symp. on Inform. Theory (ISIT), Adelaide, Australia September 2005

Authors: Ori Shental, , Shlomo Shamai (Shitz)

**Optimum asymptotic multiuser efficiency of pseudo-orthogonal randomly spread CDMA**

Proc. WIC 27th Symposium on Information Theory in the Benelux (SITB), Noordwijk, The Netherlands June

2006

Authors: Ori Shental, Ido Kanter

**Outsourcing the complexity of detection in MIMO channels**

Proc. IEEE Information Theory Workshop (ITW), Chengdu, China October 2006

Authors: Ori Shental, Rodrigo de Miguel, Ido Kanter, Ralf R. Muller

**Linear detection via belief propagation**

Proc. 45th Annual Allerton Conference on Communication, Control, and Computing, Monticello, IL,

USA September 2007

Authors: Ori Shental, Danny Bickson, Paul H. Siegel, Jack K. Wolf, Danny Dolev

**Gaussian belief propagation solver for systems of linear equations**

Proc. 2008 IEEE Int. Symp. on Inform. Theory (ISIT), Toronto, Canada July 2008

Authors: Ori Shental, Danny Bickson, Paul H. Siegel, Jack K. Wolf, Danny Dolev

**Gaussian belief propagation based multiuser detection**

Proc. 2008 IEEE Int. Symp. on Inform. Theory (ISIT), Toronto, Canada July 2008

Authors: Ori Shental, Danny Bickson, Paul H. Siegel, Jack K. Wolf, Danny Dolev

**Dual transceiver quantization can improve error performance in CDMA**

Proc. 10th International Symposium on Spread Spectrum Techniques and Applications (ISSSTA) August 2008

Authors: Ori Shental, Hadar Efraim, Nadav Yacov, Ido Kanter

**Polynomial linear programming with Gaussian belief**

Proc. 46th Annual Allerton Conference on Communication, Control, and Computing, Monticello, IL,

USA September 2008

Authors: Ori Shental, Danny Bickson, Danny Dolev

**Distributed Kalman filter via Gaussian belief propagation**

Proc. 46th Annual Allerton Conference on Communication, Control, and Computing, Monticello, IL,

USA September 2008

Authors: Ori Shental, Danny Bickson, Danny Dolev

**The second law of thermodynamics for communication channels**

Proc. IEEE 25-th Convention of Electrical and Electronics Engineers in Israel, Eilat, Israel December 2008

Authors: Ori Shental, Ido Kanter

**Compressed sensing channel estimation in OFDM with applications to mobile TV**

Proc. Qualcomm Technology Forum (QTECH), San Diego, CA, USA May 2009

Authors: Ori Shental, Alecsander Eitan

**Sparse representation of white Gaussian noise with application to L0-norm decoding in noisy compressed**

**sensing**

Proc. Qualcomm Technology Forum (QTECH), San Diego, CA, USA, June 2011 June 2011

Authors: Ori Shental

**Generalized belief propagation receiver for near-optimal detection of two-dimensional channels with**

**memory**

Optimization and Inference in Machine Learning and Physics Workshop (PASCAL), Lavin,

Switzerland January 2005

Authors: Ori Shental, , Anthony J. Weiss, Yair Weiss

**Comments on why generalized BP serves so remarkably in 2-D channels**

Proc. Information Theory and Applications (ITA) Workshop, San Diego, CA, USA January 2007

Authors: Ori Shental, , Shlomo Shamai (Shitz), Ido Kanter, Anthony J. Weiss, Yair Weiss

**A message-passing solver for linear systems**

Proc. Information Theory and Applications (ITA) Workshop, San Diego, CA, USA January 2008

Authors: Ori Shental, Danny Bickson, Paul H. Siegel, Jack K. Wolf, Danny Dolev