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The partial interference cancellation (PIC) group decoding has recently been proposed to deal with the decoding complexity and code rate trade-off on the basis of space-time block code (STBC) design criterion when full diversity is…

Information Theory · Computer Science 2011-01-28 Moon Ho Lee , Ying Guo

We analyze a class of high performance, low decoding-data-flow error-correcting codes suitable for high bit-rate optical-fiber communication systems. A spatially-coupled split-component ensemble is defined, generalizing from the most…

Information Theory · Computer Science 2015-12-04 Lei M. Zhang , Dmitri Truhachev , Frank Kschischang

We present a decode-and-forward transmission scheme based on spatially-coupled low-density parity-check (SC-LDPC) codes for a network consisting of two (possibly correlated) sources, one relay, and one destination. The links between the…

Information Theory · Computer Science 2014-02-17 Stefan Schwandter , Alexandre Graell i Amat , Gerald Matz

In this paper, the design of irregular turbo codes for the binary erasure channel is investigated. An analytic expression of the erasure probability of punctured recursive systematic convolutional codes is derived. This exact expression…

Information Theory · Computer Science 2008-04-04 Ghassan M. Kraidy , Valentin Savin

The structure and size of the interleaver used in a turbo code critically affect the distance spectrum and the covariance property of a component decoder's information input and soft output. This paper introduces a new class of…

Information Theory · Computer Science 2009-09-29 Yan-Xiu Zheng , Yu T. Su

Binary LDPC coded relay systems have been well studied previously with the assumption of infinite codeword length. In this paper, we deal with non-binary LDPC codes which can outperform their binary counterpart especially for practical…

Information Theory · Computer Science 2011-08-17 Puripong Suthisopapan , Kenta Kasai , Anupap Meesomboon , Virasit Imtawil , Kohichi Sakaniwa

In this letter, we present a hybrid iterative decoder for non-binary low density parity check (LDPC) codes over binary erasure channel (BEC), based on which the recursion of the erasure probability is derived to design non-binary LDPC codes…

Signal Processing · Electrical Eng. & Systems 2020-03-04 Yang Yu , Wen Chen , Lili Wei

We investigate practical short-blocklength coding for the semi-deterministic binary erasure wiretap channel (BE-WTC), where the main channel to the legitimate receiver is noiseless, and the eavesdropper's channel is a binary erasure channel…

Information Theory · Computer Science 2024-09-04 Hsuan-Yin Lin , Yi-Sheng Su , Mao-Ching Chiu

Full-rate space-time block codes (STBCs) achieve high spectral-efficiency by transmitting linear combinations of information symbols through every transmit antenna. However, the coefficients used for the linear combinations, if not chosen…

Information Theory · Computer Science 2013-03-18 J. Harshan , Emanuele Viterbo

We introduce a unified ensemble for turbo-like codes (TCs) that contains the four main classes of TCs: parallel concatenated codes, serially concatenated codes, hybrid concatenated codes, and braided convolutional codes. We show that for…

Information Theory · Computer Science 2017-03-28 Saeedeh Moloudi , Michael Lentmaier , Alexandre Graell i Amat

Coded modulation is a key technique to increase the spectral efficiency of coherent optical communication systems. Two popular strategies for coded modulation are turbo trellis-coded modulation (TTCM) and bit-interleaved coded modulation…

Information Theory · Computer Science 2017-10-12 Eric Sillekens , Alex Alvarado , Chigo Okonkwo , Benn C. Thomsen

We introduce a new class of rate one-half binary codes: {\bf complementary information set codes.} A binary linear code of length $2n$ and dimension $n$ is called a complementary information set code (CIS code for short) if it has two…

Information Theory · Computer Science 2016-11-15 Claude Carlet , Philippe Gaborit , Jon-Lark Kim , Patrick Solé

In this paper we concentrate on rate-1/3 systematic parallel concatenated convolutional codes and their rate-1/2 punctured child codes. Assuming maximum-likelihood decoding over an additive white Gaussian channel, we demonstrate that a…

Information Theory · Computer Science 2016-11-17 I. Chatzigeorgiou , M. R. D. Rodrigues , I. J. Wassell , R. Carrasco

In this paper, we construct protograph-based spatially coupled low-density parity-check (SC-LDPC) codes by coupling together a series of L disjoint, or uncoupled, LDPC code Tanner graphs into a single coupled chain. By varying L, we obtain…

Information Theory · Computer Science 2016-11-17 David G. M. Mitchell , Michael Lentmaier , Daniel J. Costello

In this paper we investigate the decoding of parallel turbo codes over the binary erasure channel suited for upper-layer error correction. The proposed algorithm performs on-the-fly decoding, i.e. it starts decoding as soon as the first…

Information Theory · Computer Science 2008-03-13 Ghassan M. Kraidy , Valentin Savin

Iterative decoding techniques have gain popularity due to their performance and their application in most communications systems. In this paper, we present a new application of our iterative decoder on the GPCB (Generalized Parallel…

Information Theory · Computer Science 2012-11-14 Hamid Allouch , Idriss Chana , Mostafa Belkasmi

We establish and explore a new connection between quantum information theory and classical statistical mechanics by studying the problem of qubit losses in 2D topological color codes. We introduce a protocol to cope with qubit losses, which…

Quantum Physics · Physics 2018-08-15 D. Vodola , D. Amaro , M. A. Martin-Delgado , M. Müller

In this paper, we study turbo codes from the digital signal processing point of view by defining turbo codes over the complex field. It is known that iterative decoding and interleaving between concatenated parallel codes are two key…

Signal Processing · Electrical Eng. & Systems 2023-08-28 Xiang-Gen Xia

In this paper, we propose a partial interference cancellation (PIC) group decoding for linear dispersive space-time block codes (STBC) and a design criterion for the codes to achieve full diversity when the PIC group decoding is used at the…

Information Theory · Computer Science 2008-05-20 Xiaoyong Guo , Xiang-Gen Xia

Spatially coupled low-density parity-check (SC-LDPC) codes can achieve the channel capacity under low-complexity belief propagation (BP) decoding, however, there is a non-negligible rate-loss because of termination effects for practical…

Information Theory · Computer Science 2015-12-16 Sebastian Cammerer , Vahid Aref , Laurent Schmalen , Stephan ten Brink