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Polar Codes for Broadcast Channels

Publications associées (53)

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Finite-Length Scaling for Polar Codes

Rüdiger Urbanke, Seyed Hamed Hassani

Consider a binary-input memoryless output-symmetric channel W. Such a channel has a capacity, call it I (W), and for any R < I (W) and strictly positive constant P-e we know that we can construct a coding scheme that allows transmission at rate R with an e ...

Ieee-Inst Electrical Electronics Engineers Inc2014

A Lattice Reduction-Aided MIMO Channel Equalizer in 90 nm CMOS Achieving 720 Mb/s

Andreas Peter Burg, Carl Christian Sten Dominic Senning

In this paper, a VLSI implementation of a complete MIMO channel equalization ASIC based on lattice reduction-aided linear detection is presented. The architecture performs preprocessing steps at channel rate and low-complexity linear data detection at symb ...

Ieee-Inst Electrical Electronics Engineers Inc2014

Asymmetric Compute-and-Forward with CSIT

Michael Christoph Gastpar, Jingge Zhu

We present a modified compute-and-forward scheme which utilizes Channel State Information at the Transmitters (CSIT) in a natural way. The modified scheme allows different users to have different coding rates, and use CSIT to achieve larger rate region. Th ...

2014

Polar Codes For Broadcast Channels

Michael Christoph Gastpar, Emmanuel Abbé, Naveen Goela

Building on polar code constructions proposed by the authors for deterministic broadcast channels, two theorems are introduced in the present paper for noisy two-user broadcast channels. The theorems establish polar code constructions for two important ...

2013

Polarization Theorems for Arbitrary DMCs

Emre Telatar, Rajai Nasser

A polarization phenomenon in a special sense is shown for an arbitrary discrete memoryless channel (DMC) by imposing a quasigroup structure on the input alphabet. The same technique is used to derive a polarization theorem for an arbitrary multiple access ...

IEEE2013

Polarization and Spatial Coupling

Seyed Hamed Hassani

During the last two decades we have witnessed considerable activity in building bridges between the fields of information theory/communications, computer science, and statistical physics. This is due to the realization that many fundamental concepts and no ...

EPFL2013

Polar coding for arbitrary DMCs

Emre Telatar, Rajai Nasser

Polar codes are constructed for arbitrary channels by imposing an arbitrary quasigroup structure on the input alphabet. The block error probability under successive cancellation decoding decays exponentially with the square root of the block length. It is ...

2013

Extended Polar Codes Perform Better in Terms of Compound Rate and Scaling Behavior

Seyed Hamed Hassani

Polar codes provably achieve the capacity of a wide array of channels under successive decoding. However, in terms of some practical aspects, these codes do not perform optimally and need further improvement. In this paper, we consider two such aspects: un ...

Ieee2013

A Lower Bound on Achievable Rates by Polar Codes with Mismatch Polar Decoding

Mine Alsan

In this paper we show that mismatched polar codes over symmetric B-DMCs symmetrized under the same permutation can achieve rates of at least I (W, V) bits whenever I (W, V) > 0, where W denotes the communication channel, V the mismatched channel used in th ...

Ieee2013

Polar Codes: Finite Length Implementation, Error Correlations and Multilevel Modulation

Shannon, in his seminal work, formalized the transmission of data over a communication channel and determined its fundamental limits. He characterized the relation between communication rate and error probability and showed that as long as the communicatio ...

2012