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A new polar coding scheme for higher order modulation is presented. The proposed scheme is based on multi-level coding (MLC) with natural labeling, where the bit-level corresponding to the sign-bit is generated in dependence on the previous…

Information Theory · Computer Science 2019-10-30 Onurcan İşcan , Ronald Böhnke , Wen Xu

Index coding is concerned with efficient broadcast of a set of messages to receivers in the presence of receiver side information. In this paper, we study the secure index coding problem with security constraints on the receivers…

Information Theory · Computer Science 2020-04-16 Yucheng Liu , Parastoo Sadeghi , Neda Aboutorab , Arman Sharififar

In this paper we propose a feedback scheme for transmitting secret messages between two legitimate parties, over an eavesdropped communication link. Relative to Wyner's traditional encoding scheme \cite{wyner1}, our feedback-based encoding…

Information Theory · Computer Science 2009-09-29 George Amariucai , Shuangqing Wei

Previous work showed that polar codes can be decoded using off-the-shelf LDPC decoders by imposing special constraints on the LDPC code structure, which, however, resulted in some performance degradation. In this paper we show that this…

Information Theory · Computer Science 2019-09-27 Moustafa Ebada , Ahmed Elkelesh , Stephan ten Brink

The wiretap channel is a well-studied problem in the physical layer security literature. Although it is proven that the decoding error probability and information leakage can be made arbitrarily small in the asymptotic regime, further…

Information Theory · Computer Science 2025-03-19 Daniel Seifert , Onur Günlü , Rafael F. Schaefer

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…

Information Theory · Computer Science 2022-08-11 Constantin Runge , Thomas Wiegart , Diego Lentner , Tobias Prinz

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…

Information Theory · Computer Science 2017-01-24 Marco Mondelli , S. Hamed Hassani , Ivana Marić , Dennis Hui , Song-Nam Hong

Polar codes have attracted the attention of academia and industry alike in the past decade, such that the 5$^\text{th}$ generation wireless systems (5G) standardization process of the 3$^\text{th}$ generation partnership project (3GPP)…

Information Theory · Computer Science 2020-01-07 Valerio Bioglio , Carlo Condo , Ingmar Land

In this paper, we propose a Polar coding scheme for parallel Gaussian channels. The encoder knows the sum rate of the parallel channels but does not know the rate of any channel. By using the nesting property of Polar code, we design a…

Information Theory · Computer Science 2017-05-23 David Tse , Bin Li , Kai Chen

A broadcast channel (BC) where the decoders cooperate via a one-sided link is considered. One common and two private messages are transmitted and the private message to the cooperative user should be kept secret from the cooperation-aided…

Information Theory · Computer Science 2019-05-29 Ziv Goldfeld , Gerhard Kramer , Haim H. Permuter , Paul Cuff

Polar coding, introduced 2008 by Arikan, is the first (very) efficiently encodable and decodable coding scheme whose information transmission rate provably achieves the Shannon bound for classical discrete memoryless channels in the…

Quantum Physics · Physics 2012-08-17 Joseph M. Renes , Frederic Dupuis , Renato Renner

We propose a novel coupling technique for the design of polar codes of length N, making them decodable through a sliding window of size M < N. This feature allows to reduce the computational complexity of the decoder, an important…

Information Theory · Computer Science 2021-05-06 Valerio Bioglio , Carlo Condo , Ingmar Land

We improve the method in \cite{Seidl:10} for increasing the finite-lengh performance of polar codes by protecting specific, less reliable symbols with simple outer repetition codes. Decoding of the scheme integrates easily in the known…

Information Theory · Computer Science 2013-12-11 Mathis Seidl , Johannes B. Huber

We consider the multiple-input multiple-output (MIMO) wiretap channel under a minimum receiver-side power constraint in addition to the usual maximum transmitter-side power constraint. This problem is motivated by energy harvesting…

Information Theory · Computer Science 2016-11-17 Karim Banawan , Sennur Ulukus

The definition of polar codes given by Arikan is explicit, but the construction complexity is an issue. This is due to the exponential growth in the size of the output alphabet of the bit-channels as the codeword length increases. Tal and…

Information Theory · Computer Science 2013-05-29 Arash Ghayoori , T. Aaron Gulliver

The wiretap channel is a setting where one aims to provide information-theoretic privacy of communicated data based solely on the assumption that the channel from sender to adversary is "noisier" than the channel from sender to receiver. It…

Information Theory · Computer Science 2015-03-20 Mihir Bellare , Stefano Tessaro , Alexander Vardy

The secrecy performance of a source-channel model is studied in the context of lossy source compression over a noisy broadcast channel. The source is causally revealed to the eavesdropper during decoding. The fidelity of the transmission to…

Information Theory · Computer Science 2015-06-24 Eva C. Song , Paul Cuff , H. Vincent Poor

In this work, we present hardware and software implementations of flexible polar systematic encoders and decoders. The proposed implementations operate on polar codes of any length less than a maximum and of any rate. We describe the…

Information Theory · Computer Science 2016-08-29 Gabi Sarkis , Ido Tal , Pascal Giard , Alexander Vardy , Claude Thibeault , Warren J. Gross

We consider the problem of secure communications over the two-way wiretap channel under a strong secrecy criterion. We improve existing results by developing an achievable region based on strategies that exploit both the interference at the…

Information Theory · Computer Science 2015-03-17 Alexandre J. Pierrot , Matthieu R. Bloch

A practical rate-matching system for constructing rate-compatible polar codes is proposed. The proposed polar code circular buffer rate-matching is suitable for transmissions on communication channels that support hybrid automatic repeat…

Information Theory · Computer Science 2017-11-15 Mostafa El-Khamy , Hsien-Ping Lin , Jungwon Lee , Inyup Kang
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