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Product LDPC codes take advantage of LDPC decoding algorithms and the high minimum distance of product codes. We propose to add suitable interleavers to improve the waterfall performance of LDPC decoding. Interleaving also reduces the…

信息论 · 计算机科学 2012-12-21 Marco Baldi , Giovanni Cancellieri , Franco Chiaraluce

We present a theory of quantum serial turbo-codes, describe their iterative decoding algorithm, and study their performances numerically on a depolarization channel. Our construction offers several advantages over quantum LDPC codes. First,…

量子物理 · 物理学 2009-06-10 David Poulin , Jean-Pierre Tillich , Harold Ollivier

It has been widely observed that there exists a fundamental trade-off between the minimum (Hamming) distance properties and the iterative decoding convergence behavior of turbo-like codes. While capacity achieving code ensembles typically…

Present-day communication systems routinely use codes that approach the channel capacity when coupled with a computationally efficient decoder. However, the decoder is typically designed for the Gaussian noise channel and is known to be…

信号处理 · 电气工程与系统科学 2019-04-26 Yihan Jiang , Hyeji Kim , Himanshu Asnani , Sreeram Kannan , Sewoong Oh , Pramod Viswanath

In this article we extend the idea of Turbo codes onto the Real Field. The channel is taken to result in block erasures and the only noise as being that due to quantization. The decoding in this case is reduced to reconstruction of the lost…

组合数学 · 数学 2007-05-23 Animesh Datta

The effects of the odd-even constraint - as an interleaver design criterion - on the performance of rate-1/2 binary turbo codes are revisited. According to the current understanding, its adoption is favored because it makes the information…

Turbo code is a great achievement in the field of communication system. It can be created by connecting a turbo encoder and a decoder serially. A Turbo encoder is build with parallel concatenation of two simple convolutional codes. By…

信息论 · 计算机科学 2010-05-31 Akash Kumar Gupta , Sanjeet Kumar

In this article we focus on the problem of channel decoding in presence of a-priori information. In particular, assuming that the a-priori information reliability is not perfectly estimated at the receiver, we derive a novel analytical…

信息论 · 计算机科学 2007-11-14 Andrea Abrardo

In this paper we address the issue of pruning (i.e., shortening) a given interleaver via truncation of the transposition vector of the mother permutation and study its impact on the structural properties of the permutation. This method of…

信息论 · 计算机科学 2013-10-15 Fred Daneshgaran , Marina Mondin

An interpolation-based decoding scheme for interleaved subspace codes is presented. The scheme can be used as a (not necessarily polynomial-time) list decoder as well as a probabilistic unique decoder. Both interpretations allow to decode…

信息论 · 计算机科学 2014-08-07 Hannes Bartz , Antonia Wachter-Zeh

Transformer-based large language model (LLM) inference serving is now the backbone of many cloud services. LLM inference consists of a prefill phase and a decode phase. However, existing LLM deployment practices often overlook the distinct…

分布式、并行与集群计算 · 计算机科学 2024-01-23 Cunchen Hu , Heyang Huang , Liangliang Xu , Xusheng Chen , Jiang Xu , Shuang Chen , Hao Feng , Chenxi Wang , Sa Wang , Yungang Bao , Ninghui Sun , Yizhou Shan

Transformers process tokens in parallel but are temporally shallow: at position $t$, each layer attends to key-value pairs computed based on the previous layer, yielding a depth capped by the number of layers. Recurrent models offer…

机器学习 · 计算机科学 2026-04-24 Costin-Andrei Oncescu , Depen Morwani , Samy Jelassi , Alexandru Meterez , Mujin Kwun , Sham Kakade

In this paper, we study a class of spatially coupled turbo codes, namely partially information- and partially parity-coupled turbo codes. This class of codes enjoy several advantages such as flexible code rate adjustment by varying the…

信息论 · 计算机科学 2020-12-25 Min Qiu , Xiaowei Wu , Alexandre Graell i Amat , Jinhong Yuan

Iterative processing is widely adopted nowadays in modern wireless receivers for advanced channel codes like turbo and LDPC codes. Extension of this principle with an additional iterative feedback loop to the demapping function has proven…

信息论 · 计算机科学 2015-06-04 Salim Haddad , Amer Baghdadi , Michel Jezequel

We consider the problem of coding over the multi-user Interference Channel (IC). It is well-known that aligning the interfering signals results in improved achievable rates in certain setups involving more than two users. We argue that in…

信息论 · 计算机科学 2016-02-18 F. Shirani , S. S. Pradhan

Large language models (LLMs) excel across diverse tasks but face significant deployment challenges due to high inference costs. LLM inference comprises prefill (compute-bound) and decode (memory-bound) stages, with decode dominating latency…

人工智能 · 计算机科学 2025-08-13 Woojeong Kim , Junxiong Wang , Jing Nathan Yan , Mohamed Abdelfattah , Alexander M. Rush

We design the first efficient algorithms and prove new combinatorial bounds for list decoding tensor products of codes and interleaved codes. We show that for {\em every} code, the ratio of its list decoding radius to its minimum distance…

信息论 · 计算机科学 2008-11-27 Parikshit Gopalan , Venkatesan Guruswami , Prasad Raghavendra

In this paper, we consider methods to compute the coefficients of interpolants relative to a basis of polynomials satisfying a three-term recurrence relation. Two new algorithms are presented: the first constructs the coefficients of the…

数值分析 · 计算机科学 2010-03-31 Pedro Gonnet

Turbo codes are a very efficient method for communicating reliably through a noisy channel. There is no theoretical understanding of their effectiveness. In [1] they are mapped onto a class of disordered spin models. The analytical…

无序系统与神经网络 · 物理学 2009-10-31 Andrea Montanari

In this paper, we investigate in detail the performance of turbo codes in quasi-static fading channels both with and without antenna diversity. First, we develop a simple and accurate analytic technique to evaluate the performance of turbo…

信息论 · 计算机科学 2016-11-17 M. R. D. Rodrigues , I. Chatzigeorgiou , I. J. Wassell , R. Carrasco