Joint iterative decoding for simple-encoding systematic irregular-LDPC-based coded cooperation in non-ideal relay channel

In this paper, a new kind of simple-encoding irregular systematic LDPC codes suitable for one-relay coded cooperation is designed, where the proposed joint iterative decoding is effectively performed in the destination which is in accordance with the corresponding joint Tanner graph characterizing two different component LDPC codes used by the source and relay in ideal and non-ideal relay cooperations. The theoretical analysis and simulations show that the coded cooperation scheme obviously outperforms the coded non-cooperation one under the same code rate and decoding complex. The significant performance improvement can be virtually credited to the additional mutual exchange of the extrinsic information resulted by the LDPC code employed by the source and its counterpart used by the relay in both ideal and non-ideal cooperations.     

The performance of uplink LDPC‐coded multirelay cooperation based on virtual V‐BLAST processing

This paper proposes an efficient uplink low‐density parity‐check (LDPC)‐coded multirelay cooperation architecture based on virtual Vertical‐Bell Labs Layered Space–Time (V‐BLAST) processing over a Rayleigh fading channel, where minimum mean square error in combination with a successive interference canceller and belief propagation‐based joint iterative decoder based on the introduced multilayer Tanner graph are effectively designed to detect and decode the corrupted received sequence at the destination. By introducing V‐BLAST transmission to coded multirelay cooperation, relays send their symbol streams simultaneously, which significantly reduce the transmission delay and provide higher transmission efficiency. The theoretical analysis and numerical results show that the proposed LDPC‐coded cooperation scheme outperforms the coded noncooperation under the same code rate and achieves a better compromise, with respect to the performance, signal delay, and encoding complexity associated to the number of relays, than the conventional LDPC‐coded cooperations without V‐BLAST transmission. This performance gain can be credited to the proposed V‐BLAST processing architecture and belief propagation‐based joint iterative decoding by the introduced multilayer Tanner graph at a receiver side. Copyright © 2013 John Wiley & Sons, Ltd.     

空时分组码在编码协作通信中的性能研究

为提高系统性能,有效抵抗衰落,提出了采用空时分组码的双中继编码协作通信系统,并给出了中继点使用Alamouti码的发送方式。根据源点和中继点产生LDPC码的整体校验矩阵,导出了目的点进行联合迭代译码所需的初始化消息。理论分析和数值模拟表明,在相同条件下,采用Alamouti码可以明显提高系统性能。当误比特率达到10-4,Alamouti码编码协作通信系统较相应的普通编码协作具有1.6 dB增益。     

编码协作系统准循环重复累积码的联合设计与性能分析

重复累积(RA)码是一种特殊结构的低密度奇偶校验(LDPC)码,不仅具有LDPC码的优点,还能实现差分编码。针对LDPC编码协作系统编码复杂度高、时延长的问题,该文引入准循环RA(QC-RA)码,推导出信源节点和中继节点采用的QC-RA码对应的联合校验矩阵,基于公差构造方法设计该联合校验矩阵,并证明该方法设计的联合校验矩阵不存在围长为girth-4, girth-6的短环。理论分析和仿真结果表明,同等条件下该系统比相应点对点系统具有更优异的误码率性能。仿真结果同时表明,与采用一般构造QC-RA码或基于Z型构造QC-RA码相比,采用基于公差构造的联合设计QC-RA码的多信源多中继协作均可获得更高的编码增益。     

编码协作系统准循环重复累积码的联合设计与性能分析

重复累积(RA)码是一种特殊结构的低密度奇偶校验(LDPC)码,不仅具有LDPC码的优点,还能实现差分编码。针对LDPC编码协作系统编码复杂度高、时延长的问题,该文引入准循环RA(QC-RA)码,推导出信源节点和中继节点采用的QC-RA码对应的联合校验矩阵,基于公差构造方法设计该联合校验矩阵,并证明该方法设计的联合校验矩阵不存在围长为girth-4, girth-6的短环。理论分析和仿真结果表明,同等条件下该系统比相应点对点系统具有更优异的误码率性能。仿真结果同时表明,与采用一般构造QC-RA码或基于Z型构造QC-RA码相比,采用基于公差构造的联合设计QC-RA码的多信源多中继协作均可获得更高的编码增益。     

Joint design of QC-LDPC codes for coded cooperation system with joint iterative decoding

In this paper, we investigate joint design of quasi-cyclic low-density-parity-check (QC-LDPC) codes for coded cooperation system with joint iterative decoding in the destination. First, QC-LDPC codes based on the base matrix and exponent matrix are introduced, and then we describe two types of girth-4 cycles in QC-LDPC codes employed by the source and relay. In the equivalent parity-check matrix corresponding to the jointly designed QC-LDPC codes employed by the source and relay, all girth-4 cycles including both type I and type II are cancelled. Theoretical analysis and numerical simulations show that the jointly designed QC-LDPC coded cooperation well combines cooperation gain and channel coding gain, and outperforms the coded non-cooperation under the same conditions. Furthermore, the bit error rate performance of the coded cooperation employing jointly designed QC-LDPC codes is better than those of random LDPC codes and separately designed QC-LDPC codes over AWGN channels.     

基于SWIPT的Polar编码协作码的设计与系统性能研究

极化（Polar）编码协作可同时获得编码增益与分集增益,实现可靠通信。为了解决中继能量受限问题,本文研究了基于无线信息与能量同传（Simultaneous Wireless Information and Power Transfer, SWIPT）技术的Polar编码协作系统。首先,建立了基于SWIPT的Polar编码协作系统模型。其次,鉴于Polar码的Plotkin构造方法将一个长码分裂成两个短码,非常适用于编码协作场景,使用Plotkin构造方法联合设计信源节点和中继节点Polar码,并在目的节点对其进行联合串行相消（Successive Cancellation, SC）译码。相比传统点对点系统,基于SWIPT的Polar编码协作系统使得系统中断概率大幅度降低;与随机低密度奇偶校验（Low Density Parity Check, LDPC）编码协作系统相比,在译码迭代次数低时所提方案误码性能更佳。      

LDPC-Coded Cooperation with Receive Multi-Antenna and Unknown CSI in the Destination

This paper studies a coded cooperation scheme with receive multi-antenna in the destination. A kind of simple-encoding irregular systematic low-density-parity-check (LDPC) codes is applied to the scheme. For Rayleigh block fading channels, in the unknown channel state information scenario, space-based adaptive least-mean square (LMS) transversal filters are adopted in the destination to realize receive diversity gain. The filtered signals from the source and relay are decoded by a joint “Min-Sum” iterative decoding algorithm. This algorithm agrees with the bilayer Tanner graph that can be used to fully characterize two distinct irregular systematic LDPC codes employed by the source and relay. Simulation results verify the effectiveness of the space-based adaptive LMS transversal filters in the coded cooperation scheme. Meanwhile, theoretical analysis and numerical simulation show that the proposed coded cooperation scheme can well combine cooperation diversity, multi-receive diversity and channel coding gains, and clearly outperforms the coded non-cooperation one under the same conditions.     

多信源多中继编码协作系统准循环LDPC码的联合设计与性能分析

为解决多信源多中继低密度奇偶校验(LDPC)码编码协作系统编码复杂度高、编码时延长的问题,该文引入一种特殊结构的LDPC码—基于生成矩阵的准循环LDPC码(QC-LDPC)码。该类码结合了QC-LDPC码与基于生成矩阵LDPC (G-LDPC)码的特点,可直接实现完全并行编码,极大地降低了中继节点的编码时延及编码复杂度。在此基础上,推导出对应于信源节点和中继节点采用的QC-LDPC码的联合校验矩阵,并基于最大公约数(GCD)定理联合设计该矩阵以消除其所有围长为4, 6(girth-4, girth-6)的短环。理论分析和仿真结果表明,在同等条件下该系统的误码率(BER)性能优于相应的点对点系统。仿真结果还表明,与采用显式算法构造QC-LDPC码或一般构造QC-LDPC码的协作系统相比,采用联合设计QC-LDPC码的系统均可获得更高的编码增益。     

基于非正规LDPC码的中继协作通信及其联合迭代译码的性能研究

 本文构造了一种适用于中继协作通信的非正规LDPC系统码,并将双非正规LDPC系统码应用于中继协作系统中. 提出了目的点接收机基于双LDPC码联合Tanner图的对多路接收信号进行联合迭代译码的新算法. 理论分析和数值模拟表明本文所提出的新方法将高效信道编码和协作技术有机地结合起来以充分实现编码协作所具有的潜在分集和编码增益,与非协作系统相比可显著地提高系统性能.     

Decoding and Design of LDPC Codes for High-Order Modulations

A concatenated code model is proposed for high-order low-density parity-check (LDPC) coded modulations. A corresponding concatenated-code belief propagation (CCBP) decoding algorithm is derived for our proposed concatenated code. Moreover, the design of LDPC codes under the CCBP decoding is developed using extrinsic information transfer (EXIT) charts. Compared with other algorithms, the CCBP method provides an excellent parallel decoding process, and the EXIT-based design method offers highly accurate LDPC code ensembles. Simulation results show that the performance of the proposed CCBP algorithm is superior to that of the conventional belief propagation decoding within a wide range of modulation orders, and the EXIT-based method can design capacity-approaching LDPC codes for high-order modulations.     

基于多重置换阵的满秩结构化LDPC码构造方法

 在多重置换阵的基础上,提出一种适用基于网络编码的协作中继策略的结构化LDPC码构造方法.首先定义了多重置换阵的概念,提出并证明了该方阵在秩和消元等方面的重要性质;给出具体的构造步骤,构造了列重为3和围长至少为6的满秩LDPC码;分析了该LDPC码的生成矩阵,具有稀疏和结构化的特点,适用基于网络编码的协作中继系统中进行联合网络编码和迭代译码.仿真结果表明,在相同码长、2/3码率和准循环矩阵 Y 结构条件下,相比阵列LDPC码、近似双对角形式的LDPC码和三对角形式的LDPC码,新构造的LDPC码具有相对较好的译码性能.     

GF(2p)LDPC编码的相位调制OFDM系统在瑞利衰落信道的性能

OFDM是一项能有效对抗高速无线通信中多径衰落的关键技术，为了进一步提高OFDM系统的误码性能，许多信道编码技术已被应用于OFDM系统中，二元域LDPC码以其近香农限的误码性能和较低的译码复杂度成为研究的热点。在AWGN信道下，多元域LDPC码比等效码长的二元域LDPC码有更好的纠错性能。本文提出了一种将多元域LDPC码经过MPSK调制后用于OFDM系统的新方法。仿真结果表明，在多径衰落信道下，通过合理选择多元LDPC码域的阶数和调制的方法，多元域LDPC编码的高阶调制OFDM系统比等效码长的二元域LDPC编码OFDM系统具有更好的性能，并且由于采用了多元域LDPC的快速BP译码，译码复杂度只是稍有增加。     

结合6-QAM和双层LDPC码的编码调制研究

针对阶数为3 ×2p的非标准调制与纠错编码难以匹配的问题,提出了一种面向6阶正交幅度调制(QAM)的双层编码调制传输方案.在发送端,采用有限域GF(2)低密度奇偶校验(LDPC)码与GF(3)LDPC码进行分层编码,并将两种编码码字映射为6进制码字后进行6-QAM调制;在接收端,根据GF(2) LDPC码和GF(3) ...     

基于隐马尔科夫模型的多元LDPC联合译码

采用隐马尔科夫模型对信源估计,对基于多进制LDPC码的联合信源信道译码算法展开研究。该算法通过对传统的多进制LDPC译码算法的改进,在迭代过程中加入通过估计算法得到的信源冗余,校正了迭代软信息,提高译码性能。仿真结果表明,在AWGN信道中,改进算法相比传统译码算法性能优越。     

Quasi-cyclic LDPC codes using overlapping matrices and their layered decoders

Quasi-cyclic (QC) low-density parity-check (LDPC) codes have the parity-check matrices consisting of circulant matrices. Since QC LDPC codes whose parity-check matrices consist of only circulant permutation matrices are difficult to support layered decoding and, at the same time, have a good degree distribution with respect to error correcting performance, adopting multi-weight circulant matrices to parity-check matrices is useful but it has not been much researched. In this paper, we propose a new code structure for QC LDPC codes with multi-weight circulant matrices by introducing overlapping matrices. This structure enables a system to operate on dual mode in an efficient manner, that is, a standard QC LDPC code is used when the channel is relatively good and an enhanced QC LDPC code adopting an overlapping matrix is used otherwise. We also propose a new dual mode parallel decoder which supports the layered decoding both for the standard QC LDPC codes and the enhanced QC LDPC codes. Simulation results show that QC LDPC codes with the proposed structure have considerably improved error correcting performance and decoding throughput.     

瑞利衰落信道下基于LDPC码USTM的MIMO系统

研究了一种联合低密度校验(LDPC,Low-Density Parity-Check)码和酉空时调制(USTM,Unitary Space-Time Modulation)技术在不相关瑞利平坦衰落(Rayleigh flat fading)下的多输入多输出信道(MIMO,Multiple-Input Multiple-Output)系统的性能.在无信道状态信息下,采用可并行操作的和积译码算法(SPA,Sum-Product Algorithm)的LDPCC-USTM级联系统具有优异的性能,并分析了不同LDPC码集下对系统性能的影响.仿真结果表明LDPCC-USTM级联系统比与未级联的相比有近23dB的编码增益,与基于Turbo码的USTM[6]系统相比有5dB多的编码增益,且基于非规则的LDPC码的级联系统比基于规则码有近1dB的编码增益.     

LT码和q-LDPC码级联方案在深空通信中的应用

该文针对深空通信对长纠删码的需求,提出了LT (Luby Transform)码和q-LDPC码的级联方案。在综合考虑性能和复杂度的情况下,选取8-LDPC码和8PSK的级联作为等效的删除信道,长度选择灵活、编译码简单的LT码实现纠删功能。文中设计了两种短8-LDPC码,并对整个级联系统的纠错性能进行了仿真。仿真结果表明8-LDPC码的性能优于信源信息速率和码率相同的二进制LDPC码,级联系统在等效包删除概率不超过0.1时,系统误比特率以概率1趋于0。     

一种伪随机LDPC码构造方法与性能研究

低密度校验(Low-Density Parity-Check)码作为迄今为止性能最好的纠错码之一, 目前已经被许多数字通信标准广泛采用。伪随机低密度校验码(Pseudo-Random)是 LDPC 码的一个子类,已被应用于空间通信和无线网络技术。本文给出了一种基于有限域的伪随机 LDPC 码构造方法,并采用理论分析和仿真结果分析相结合的方法,对伪随机 LDPC 码的构造和编译码方法进行了研究,并给出了实现中适合的译码算法及量化方案。     

Impact of Implicit Feedback Channel in Cooperative Relay Networks

In a multi-node network, cooperation among nodes is an effective means to enhance coverage and potentially increase the capacity. For such systems, schemes based on incremental relaying have great potential to improve the spectral efficiency by adapting the transmission to time varying channel conditions. The performance enhancement brought about by the presence of relays in such incremental relaying based cooperative systems is dependent on the level of cooperation (based on the relay information quality) and on coordination among the nodes. Coordination is achieved through the use of feedback channels, which incurs significant bandwidth penalty and brings down the spectral efficiency. In order to mitigate this, one can exploit an implicit feedback channel available due to broadcast nature of relay transmissions. Instead of using dedicated feedback channels, the implicit feedback channel is used to measure the relay information quality. Based on this information, the transmitter (source/relay) for the additional coded (redundancy) bits is determined. Such a mechanism enhances the reliability as it ensures the availability of correct information at the destination node for decoding. This paper studies the impact of such an implicit feedback channel by employing powerful codes which exhibit inherent incremental redundancy features, such as rate-compatible codes (rate-compatible punctured convolutional (RCPC) codes and punctured low-density parity-check (LDPC) codes) and rateless codes (Luby Transform (LT) codes). Theoretical analyses of the proposed scheme are presented, and supported with results from extensive simulation studies.