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Polar coding over a class of binary discrete memoryless channels with channel knowledge at the encoder is studied. It is shown that polar codes achieve the capacity of convex and one-sided classes of symmetric channels.

信息论 · 计算机科学 2013-12-02 Mine Alsan

We design polar codes for empirical coordination and strong coordination in two-node networks. Our constructions hinge on the fact that polar codes enable explicit low-complexity schemes for soft covering. We leverage this property to…

信息论 · 计算机科学 2018-06-08 Remi A. Chou , Matthieu Bloch , Joerg Kliewer

An extension of polar codes is proposed, which allows some of the frozen symbols, called dynamic frozen symbols, to be data-dependent. A construction of polar codes with dynamic frozen symbols, being subcodes of extended BCH codes, is…

信息论 · 计算机科学 2016-11-17 Peter Trifonov , Vera Miloslavskaya

We prove that, for the binary erasure channel (BEC), the polar-coding paradigm gives rise to codes that not only approach the Shannon limit but do so under the best possible scaling of their block length as a~function of the gap to…

信息论 · 计算机科学 2020-10-15 Arman Fazeli , S. Hamed Hassani , Marco Mondelli , Alexander Vardy

A multilevel coded modulation scheme is studied that uses solely binary polar codes and Honda-Yamamoto probabilistic shaping. The scheme is shown to achieve the capacity of discrete memoryless channels with input alphabets of cardinality a…

信息论 · 计算机科学 2022-08-11 Constantin Runge , Thomas Wiegart , Diego Lentner , Tobias Prinz

A method for construction of polar subcodes is presented, which aims on minimization of the number of low-weight codewords in the obtained codes, as well as on improved performance under list or sequential decoding. Simulation results are…

信息论 · 计算机科学 2017-05-04 Peter Trifonov , Grigorii Trofimiuk

We present a rate-compatible polar coding scheme that achieves the capacity of any family of channels. Our solution generalizes the previous results [1], [2] that provide capacity-achieving rate-compatible polar codes for a degraded family…

信息论 · 计算机科学 2017-01-24 Marco Mondelli , S. Hamed Hassani , Ivana Marić , Dennis Hui , Song-Nam Hong

For polar codes with short-to-medium code length, list successive cancellation decoding is used to achieve a good error-correcting performance. However, list pruning in the current list decoding is based on the sorting strategy and its…

硬件体系结构 · 计算机科学 2015-11-30 YouZhe Fan , Ji Chen , ChenYang Xia , Chi-ying Tsui , Jie Jin , Hui Shen , Bin Li

We consider the usage of finite-length polar codes for the Gaussian multiple access channel (GMAC) with a finite number of users. Based on the interleave-division multipleaccess (IDMA) concept, we implement an iterative detection and…

信息论 · 计算机科学 2020-12-04 Moustafa Ebada , Sebastian Cammerer , Ahmed Elkelesh , Marvin Geiselhart , Stephan ten Brink

We propose a new family of polar coding which realizes high coding gain, low complexity, and high throughput by introducing a protograph-based design. The proposed technique called as quasi-cyclic (QC) polar codes can be highly parallelized…

信息论 · 计算机科学 2021-02-26 Toshiaki Koike-Akino , Ye Wang

A probabilistic shaping method for multi-level coding (MLC) is presented, where the transmitted symbols are forced to have a shaped non-uniform distribution. It is shown that shaping only a single bit-level suffices to compensate for most…

信息论 · 计算机科学 2018-12-20 Onurcan İşcan , Ronald Böhnke , Wen Xu

A method for efficiently successive cancellation (SC) decoding of polar codes with high-dimensional linear binary kernels (HDLBK) is presented and analyzed. We devise a $l$-expressions method which can obtain simplified recursive formulas…

信息论 · 计算机科学 2017-01-18 Zhiliang Huang , Shiyi Zhang , Feiyan Zhang , Chunjiang Duanmu , Ming Chen

In this paper, we design explicit codes for strong coordination in two-node networks. Specifically, we consider a two-node network in which the action imposed by nature is binary and uniform, and the action to coordinate is obtained via a…

信息论 · 计算机科学 2012-10-09 Matthieu R. Bloch , Laura Luzzi , Joerg Kliewer

Polar codes asymptotically achieve the symmetric capacity of memoryless channels, yet their error-correcting performance under successive-cancellation (SC) decoding for short and moderate length codes is worse than that of other modern…

信息论 · 计算机科学 2015-12-25 Gabi Sarkis , Pascal Giard , Alexander Vardy , Claude Thibeault , Warren J. Gross

Massive machine-type communications (mMTC) is one of the key application scenarios for future 5G networks. Non-orthogonal multiple access (NOMA) is a promising technique for the use in mMTC scenario. In this paper, we investigate NOMA…

信息论 · 计算机科学 2019-01-23 Evgeny Marshakov , Gleb Balitskiy , Kirill Andreev , Alexey Frolov

Finding fast polarizing transforms is an important problem as polar codes suffer from slow finitelength performance. This paper considers non binary polar codes for transmission over the AWGN channel and designs polarizing transforms with…

信息论 · 计算机科学 2019-01-31 Sinan Kahraman

Bit-interleaved coded modulation (BICM) and multilevel coded modulation (MLC) are commonly used to combine polar codes with high order modulation. While BICM benefits from simple design and the separation of coding and modulation, MLC shows…

信息论 · 计算机科学 2022-02-16 Hanwen Yao , Jinfeng Du , Alexander Vardy

Different polar coding schemes are proposed for the memoryless degraded broadcast channel under different reliability and secrecy requirements: layered decoding and/or layered secrecy. In this setting, the transmitter wishes to send…

信息论 · 计算机科学 2018-06-19 Jaume del Olmo , Javier R. Fonollosa

Polar coding is a method for communication over noisy classical channels which is provably capacity-achieving and has an efficient encoding and decoding. Recently, this method has been generalized to the realm of quantum information…

量子物理 · 物理学 2016-02-01 Christoph Hirche , Ciara Morgan , Mark M. Wilde

This paper proposes a high-throughput energy-efficient Successive Cancellation (SC) decoder architecture for polar codes based on combinational logic. The proposed combinational architecture operates at relatively low clock frequencies…

硬件体系结构 · 计算机科学 2016-01-12 Onur Dizdar , Erdal Arıkan