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Space-time codes leverage the availability of multiple antennas to enhance the reliability of communication over wireless channels. While space-time codes have initially been designed with a focus on open-loop systems, recent technological…

Information Theory · Computer Science 2016-11-17 Che Lin , Vasanthan Raghavan , Venu Veeravalli

Code decompositions (a.k.a code nestings) are used to design good binary polar code kernels. The proposed kernels are in general non-linear and show a better rate of polarization under successive cancelation decoding, than the ones…

Information Theory · Computer Science 2011-07-05 Noam Presman , Ofer Shapira , Simon Litsyn

Building on the work of Horstein, Shayevitz and Feder, and Naghshvar \emph{et al.}, this paper presents algorithms for low-complexity sequential transmission of a $k$-bit message over the binary symmetric channel (BSC) with full, noiseless…

Information Theory · Computer Science 2020-05-19 Amaael Antonini , Hengjie Yang , Richard D. Wesel

In this paper, we propose and evaluate a novel algorithm for performing spectrum sensing on linear modulations based on second-order cyclic features of the received signals. The proposed approach has similar computational complexity to that…

Signal Processing · Electrical Eng. & Systems 2020-02-11 Anantha K. Karthik , Jameer Ali M. S , Mohammed Zafar Ali Khan , A. Bhagavathi Rao

New algorithms for efficient decoding of polar codes (which may be CRC-augmented), transmitted over either a binary erasure channel (BEC) or an additive white Gaussian noise channel (AWGNC), are presented. We start by presenting a new…

Information Theory · Computer Science 2021-07-14 Yonatan Urman , Guy Mogilevsky , David Burshtein

Progress in designing channel codes has been driven by human ingenuity and, fittingly, has been sporadic. Polar codes, developed on the foundation of Arikan's polarization kernel, represent the latest breakthrough in coding theory and have…

Information Theory · Computer Science 2024-06-06 S Ashwin Hebbar , Sravan Kumar Ankireddy , Hyeji Kim , Sewoong Oh , Pramod Viswanath

We propose a unitary precoding scheme, namely polar-precoding, to improve the performance of polar-coded MIMO systems. In contrast to the traditional design of MIMO precoding criteria, the proposed polar-precoding scheme relies on the…

Information Theory · Computer Science 2021-09-15 Jinnan Piao , Kai Niu , Jincheng Dai , Lajos Hanzo

In this paper, we present the concept of non-uniform channel polarization and a scheme for rate-compatible polar code construction for any codeword length using additive white Gaussian noise (AWGN) channels and the successive cancellation…

Information Theory · Computer Science 2019-11-19 Robert M. Oliveira , Rodrigo C. de Lamare

Achieving an increase in the spectral efficiency (SE) has always been a major driver in the design of communication systems. The use of MIMO techniques in mobile communications has achieved significant benefits in improving the system…

Signal Processing · Electrical Eng. & Systems 2018-03-22 Pol Henarejos , Ana I. Pérez-Neira

A hybrid automatic repeat request (HARQ) scheme based on a novel class of rate-compatible polar (\mbox{RCP}) codes are proposed. The RCP codes are constructed by performing punctures and repetitions on the conventional polar codes.…

Information Theory · Computer Science 2016-11-17 Kai Chen , Kai Niu , Jiaru Lin

We discuss the performance of polar codes, the capacity-achieving channel codes, on wireless communication channel in this paper. By generalizing the definition of Bhattacharyya Parameter in discrete memoryless channel, we present the…

Information Theory · Computer Science 2012-04-30 Peng Shi , Shengmei Zhao , Bei Wang

In traditional spread-spectrum techniques, a wideband transmit signal is obtained by modulating a wideband carrier by a narrowband signal containing a relatively low-rate message. In the receiver, the respective demodulation/despreading…

Signal Processing · Electrical Eng. & Systems 2020-08-17 Alexei V. Nikitin , Ruslan L. Davidchack

In the present article, we simulate the propagation of binary signals in semi-infinite, mechanical chains of coupled oscillators harmonically driven at the end, by making use of the recently discovered process of nonlinear…

Computational Physics · Physics 2011-12-06 J. E. Macías-Díaz , A. Puri

Here we concerned with quantum key distribution - a way to establish common cryptographic key between several parties. The work proposes a combination between quantum key distribution and systematic polar coding (an error correction…

Quantum Physics · Physics 2025-11-25 Georgi Bebrov

Systematic polar codes are shown to outperform non-systematic polar codes in terms of the bit-error-rate (BER) performance. However theoretically the mechanism behind the better performance of systematic polar codes is not yet clear. In…

Information Theory · Computer Science 2015-04-17 Liping Li , Wenyi Zhang , Yanjun Hu

The linear programming decoder will occasionally output fractional-valued sequences that do not correspond to binary codewords - such outputs are termed nontrivial pseudocodewords. Feldman et al. have demonstrated that it is precisely the…

Information Theory · Computer Science 2024-10-30 Nathan Axvig

Recently, Ar{\i}kan introduced the method of channel polarization on which one can construct efficient capacity-achieving codes, called polar codes, for any binary discrete memoryless channel. In the thesis, we show that decoding algorithm…

Information Theory · Computer Science 2010-02-19 Ryuhei Mori

Source polar coding is a potential solution for short blocklength-based low-latency key generation with limited sources, which is a critical aspect of six generation (6G) Internet of things. However, existing source coding schemes still…

Signal Processing · Electrical Eng. & Systems 2025-10-07 Lulu Song , Di Zhang , Tingting Zhang

A new approach for combining non-binary low-density parity-check (NB-LDPC) codes with higher-order modulation and probabilistic amplitude shaping (PAS) is presented. Instead of symbol-metric decoding (SMD), a bit-metric decoder (BMD) is…

Information Theory · Computer Science 2018-09-12 Fabian Steiner , Georg Böcherer , Gianluigi Liva

One formidable difficulty in quantum communication and computation is to protect information-carrying quantum states against undesired interactions with the environment. In past years, many good quantum error-correcting codes had been…

Quantum Physics · Physics 2007-07-13 Avanti Ketkar , Andreas Klappenecker , Santosh Kumar , Pradeep Kiran Sarvepalli
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