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We consider achieving the rates in the capacity region of a multi-level 3-receiver broadcast channel, in which the second receiver is degraded with respect to the first receiver, with degraded message sets. We propose a two-level chaining…

Information Theory · Computer Science 2020-10-15 Karthik Nagarjuna Tunuguntla , Paul H. Siegel

It is shown that polar coding schemes achieve the known achievable rate regions for several multi-terminal communications problems including lossy distributed source coding, multiple access channels and multiple descriptions coding. The…

Information Theory · Computer Science 2014-04-29 Aria G. Sahebi , S. Sandeep Pradhan

Channel polarization and Polar code are widely considered as major breakthroughs in coding theory because they have shown promising features for future wireless standards. The main drawbacks of Polar code are high-latency in decoding…

Signal Processing · Electrical Eng. & Systems 2019-05-14 Duc-Phuc Nguyen , Dinh-Dung Le , Thi-Hong Tran , Takashi Nakada , Yasuhiko Nakashima

The decoding performance of polar codes strongly depends on the decoding algorithm used, while also the decoder throughput and its latency mainly depend on the decoding algorithm. In this work, we implement the powerful successive…

Information Theory · Computer Science 2016-12-22 Sebastian Cammerer , Benedikt Leible , Matthias Stahl , Jakob Hoydis , Stephan ten Brink

Known for their capacity-achieving abilities, polar codes have been selected as the control channel coding scheme for 5G communications. To satisfy the needs of high throughput and low latency, belief propagation (BP) is chosen as the…

Signal Processing · Electrical Eng. & Systems 2020-02-06 Chieh-Fang Teng , Kuan-Shiuan Ho , Chen-Hsi Wu , Sin-Sheng Wong , An-Yeu Wu

Polar codes are a class of error-correcting codes that provably achieve the capacity of practical channels under the low-complexity successive-cancellation flip (SCF) decoding algorithm. However, the SCF decoding algorithm has a variable…

Information Theory · Computer Science 2024-09-06 Ilshat Sagitov , Charles Pillet , Pascal Giard

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…

Information Theory · Computer Science 2019-01-31 Sinan Kahraman

We propose a nonuniform quantized decoder for polar codes. The design metric of the quantizers is to minimize the distortion incurred by quantization. The quantizers are obtained via dynamic programming and the optimality of the quantizer…

Information Theory · Computer Science 2020-11-17 Zhiwei Cao , Hongfei Zhu , Yuping Zhao , Dou Li

Achieving security against adversaries with unlimited computational power is of great interest in a communication scenario. Since polar codes are capacity achieving codes with low encoding-decoding complexity and they can approach perfect…

Information Theory · Computer Science 2018-01-23 Amirsina Torfi , Sobhan Soleymani , Siamak Aram , Vahid Tabataba Vakili

Due to the sequential nature of the successive-cancellation (SC) algorithm, the decoding of polar codes suffers from significant decoding latencies. Fast SC decoding is able to speed up the SC decoding process, by implementing parallel…

Information Theory · Computer Science 2022-11-21 Yang Lu , Ming-Min Zhao , Ming Lei , Min-Jian Zhao

Polar codes are a new class of capacity-achieving error-correcting codes with low encoding and decoding complexity. Their low-complexity decoding algorithms rendering them attractive for use in software-defined radio applications where…

Information Theory · Computer Science 2016-07-12 Pascal Giard , Gabi Sarkis , Camille Leroux , Claude Thibeault , Warren J. Gross

We consider non-binary polarization transform problem of polar codes. The focus of this work is on finding equidistant (or almost equidistant) polarizing transforms to maximize the minimum distance and to approach the equidistant distant…

Information Theory · Computer Science 2019-03-05 Sinan Kahraman

We present nonasymptotic upper and lower bounds on the maximum coding rate achievable when transmitting short packets over a Rician memoryless block-fading channel for a given requirement on the packet error probability. We focus on the…

Information Theory · Computer Science 2017-12-19 Johan Östman , Giuseppe Durisi , Erik G. Ström , Mustafa C. Coşkun , Gianluigi Liva

This paper considers the design and decoding of polar codes for general classical-quantum (CQ) channels. It focuses on decoding via belief-propagation with quantum messages (BPQM) and, in particular, the idea of paired-measurement BPQM…

Information Theory · Computer Science 2024-01-17 Avijit Mandal , S. Brandsen , Henry D. Pfister

Polar codes have gained significant attention in channel coding for their ability to approach the capacity of binary input discrete memoryless channels (B-DMCs), thanks to their reliability and efficiency in transmission. However, existing…

Information Theory · Computer Science 2025-01-30 Jiaxing Li , Shuwen Zhang , Zhisong Bie

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…

Information Theory · Computer Science 2021-02-26 Toshiaki Koike-Akino , Ye Wang

This paper presents a polar coding scheme to achieve secrecy in block fading binary symmetric wiretap channels without the knowledge of instantaneous channel state information (CSI) at the transmitter. For this model, a coding scheme that…

Information Theory · Computer Science 2015-11-05 Hongbo Si , O. Ozan Koyluoglu , Sriram Vishwanath

The joint transmission scheme of polar codes and sparse code multiple access (SCMA) has been regarded as a promising technology for future wireless communication systems. However, most of the existing polar-coded SCMA (PC-SCMA) systems…

Information Theory · Computer Science 2022-04-01 Shufeng Li , Mingyu Cai , Libiao Jin , Yao Sun , Hongda Wu , Ping Wang

Since a quantum measurement generally disturbs the state of a quantum system, one might think that it should not be possible for a sender and receiver to communicate reliably when the receiver performs a large number of sequential…

Quantum Physics · Physics 2013-07-12 Mark M. Wilde

Information reconciliation (IR) ensures the correctness of quantum key distribution systems, by correcting the error bits existed in the sifted keys. In this article, we propose a polar codes-based IR scheme with the frozen bits erasure…

Quantum Physics · Physics 2023-02-01 Bang-Ying Tang , Chun-Qing Wu , Wei Peng , Bo Liu , Wan-Rong Yu
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