OFDM-FDMA Scheme for the Uplink of a Mobile Communication System

The Orthogonal Frequency Division Multiplexing (OFDM) transmission technique can efficiently deal with multi-path propagation effects especially in broadband radio channels. It also has a high degree of system flexibility in multiple access schemes by combining the conventional TDMA, FDMA and CDMA approaches with the OFDM modulation procedure which is particularly important in the uplink of a multi-user system. In OFDM-FDMA schemes carrier synchronization and the resulting subcarrier orthogonality plays an important role to avoid any multiple access interferences (MAI) in the base station receiver. An additional technical challenge in system design is the required amplifier linearity to avoid any non-linear effects caused by a large peak-to-average ratio (PAR) of an OFDM transmission signal. A specific OFDM-FDMA uplink procedure is proposed and will be designed in this paper which can be seen as a combination of a specific subcarrier spreading scheme and subcarrier selection process. The resulting transmit signal consists of a periodic extension and multiple repetition of all modulation symbols and leads therefore to an extremely low computation complexity in the transmitter. Furthermore, the transmit signal shows simultaneously a constant envelope to avoid any non-linear effects in the amplification process. This uplink scheme can be considered as a trade off between low computation complexity and system performance. Prof. Hermann Rohling is with the Technical University Hamburg-Harburg, Germany where he has developed an international reputation in the field of OFDM transmission techniques. Previously Prof. Rohling was with the AEG Research Institute, Ulm as a researcher working in the area of digital signal processing for radar and communications applications. His research interests have included Wideband Mobile Communications especially based on Multicarrier Transmission Techniques (OFDM) for future broadband systems (4G), signal theory, digital radar signal processing, detection, estimation and differential GPS for high precision navigation. Prof. Rohling is a member of Informationstechnische Gesellschaft (ITG), German Institute of Navigation (DGON) and a senior member of IEEE. He is chairman of the August 2005 International OFDM Workshop (InOWo 2005) in Hamburg, Germany. Martin Stemick received the Dipl.-Ing. degree in electrical engineering from the Technical University Hamburg Harburg (TUHH), Germany in 2004. Currently, he is a Ph. D. student and belongs to the scientific staff of the Department of Telecommunications, TUHH, Hamburg, Germany. His research interests include wireless OFDM-systems, with a current emphasis on resource allocation and equalization techniques.     

Cross Layer Considerations for an Adaptive OFDM-Based Wireless Communication System

Future applications require high, but variable data rates and different quality of services (QoS) which is a real challenge for the communication system design. Additionally, the broadband radio channel can be assumed to be frequency selective and time variant, which means the transmission performance varies over time and frequency. The OFDM transmission technique is very flexible in adapting the transmission parameters to the current channel situation and to the application-specific requirements. This kind of flexibility will be applied to solve the technical tasks in the design procedures of future communication systems.Prof. Hermann Rohling received the Diplom Mathematiker degree from the Technical University Stuttgart, Germany in 1977 and the PhD from the Faculty of Electrical Engineering, Rheinisch-Westfälischen Technischen Hochschule (RWTH) Aachen, Germany in 1984. From 1977 to 1988 he was with the AEG Research Institute, Ulm as a researcher working in the area of digital signal processing for radar and communications applications. From 1988 to 1999 he was a Professor of Communications Engineering at the Technical University Braunschweig (TUBS). Since 1999, Professor Rohling is with the Technical University in Hamburg-Harburg (TUHH), Germany. His research interests include Wideband Mobile Communications especially based on Multicarrier Transmission Techniques (OFDM) for future broadband systems (4G), Wireless Local Loops, Multiple Access and channel coding schemes, Digital Radar Signal Processing especially for automotive radar applications, differential GPS for high precision navigation. Prof. Rohling is a member of ITG, DGON and a senior member of IEEE.Dr. RainerGrünheid studied Electrical Engineering at theTechnical University Braunschweig (TUBS), Germany, from 1989–1994. After receiving his Diploma degree, he pursued his Ph.D. at the Technical University Hamburg-Harburg (TUHH), Germany, until 2000. Currently, he is working as a research assistant at the Department of Telecommunications at TUHH. His research interests include mobile communications and multicarrier systems (OFDM), with a special emphasis on multiple access schemes, MAC protocols, link adaptation techniques and cross-layer design.     

Performance Evaluation of Multiple Transmit Antenna Non-Coherent Detection Schemes in Fast Fading Channels

For the fast fading channels, e.g., fast mobile channels,non-coherent detection scheme is promising because the receiverdoes not require to measure the channel information, which resultsin reducing transmission overhead. In this paper, we compare thebit error rate of two non-coherent encoding/decoding schemes formultiple transmit antennas under fast fading environments when thenumber of antenna varies from two to three. The first approach isa unitary space-time modulation (USTM) that aims to achieve thenon-coherent channel capacity. The second one is a differentialspace-time block code (DSTBC), which projects information symbolsto a number of orthogonal bases that consist of the previouslysent symbols. We exhibit the fact that the block length of bothschemes affects the performance significantly rather thanencoding/decoding methods when the channel varies fast. Inaddition, we present some problems of the DSTBC sending thecomplex symbols with more than two transmit antennas. This revised version was published online in August 2006 with corrections to the Cover Date.     

一种新颖的两天线差分空时分组编码方案

传统的差分空时分组编码（DSTBC）在QPSK调制时存在着信号星座扩展．文中提出了一种在QPSK调制下新颖的两发射天线差分空时分组编码方案，此方案提供了一定的编码增益，同时也解决了星座扩展问题．在新方案中，改进了从信息块到系数矢量的映射，从而使其性能与相干空时分组编码相比大约只差1dB。同时新方案编码相对简单，在接收端也具有低的解码复杂度．     

Iterative Decoding of Orthogonal Space-Time Coded CPM Systems

We present an iterative decoding/demodulation technique for an orthogonal space-time coded continuous-phase modulation (OST-CPM) system. A low-complexity soft input and soft output (SISO) demodulator is developed based on the bidirectional soft output Viterbi algorithm (BSOVA) for the multiple antennas CPM systems. By taking advantage of the orthogonal structure, the complexity of extrinsic information extraction can be significantly reduced at each iteration.Shengli Fu received the B.S. and M.S. degree in telecommunication engineering from Beijing University of Posts and Telecommunications, Beijing, China, in 1994 and 1997, respectively. In 2000, he enrolled at the Wright State University, Dayton, OH, where he received the M.S. degree in Computer Engineering. He currently pursues his Ph.D. degree in the Department of Electrical and Computer Engineering at the University of Delaware.His research interests include information and coding theory, MIMO wireless communication systems, and acoustic and visual signal processing.Genyuan Wang received B.Sc and MS. degrees in Mathematics from the Shanxi Normal University, Xian, China, in 1985 and 1988, respectively, and his Ph.D. degree in Electrical Engineering from Xidian University, Xian China, in 1998.From July, 1988 to September 1994, he worked at Shanxi Normal University as an Assistant Professor and then an Associate Professor. From September 1994 to May 1998, he worked at Xidian University as a research assistant. Currently, he is Post-Doctoral Fellow at Department of Electrical and Computer Engineering, University of Delaware. His research interests are radar imaging and radar signal processing, adaptive filter, OFDM system, channel equalization and space-time coding.Xiang-Gen Xia (M97,S00) received his B.S. degree in mathematics from Nanjing Normal University, Nanjing, China, and his M.S. degree in mathematics from Nankai University, Tianjin, China, and his Ph.D. degree in Electrical Engineering from the University of Southern California, Los Angeles, in 1983, 1986, and 1992, respectively.He was a Senior/Research Staff Member at Hughes Research Laboratories, Malibu, California, during 1995--1996. In September 1996, he joined the Department of Electrical and Computer Engineering, University of Delaware, Newark, Delaware, where he is a Professor. He was a Visiting Professor at the Chinese University of Hong Kong during 2002–2003. Before 1995, he held visiting positions in a few institutions. His current research interests include space-time coding, MIMO and OFDM systems, and SAR and ISAR imaging. Dr. Xia has over 100 refereed journal articles published, and 6 U.S. patents awarded. He is the author of the book Modulated Coding for Intersymbol Interference Channels (New York, Marcel Dekker, 2000).Dr. Xia received the National Science Foundation (NSF) Faculty Early Career Development (CAREER) Program Award in 1997, the Office of Naval Research (ONR) Young Investigator Award in 1998, and the Outstanding Overseas Young Investigator Award from the National Nature Science Foundation of China in 2001. He also received the Outstanding Junior Faculty Award of the Engineering School of the University of Delaware in 2001. He is currently an Associate Editor of the IEEE Transactions on Mobile Computing, the IEEE Signal Processing Letters, the IEEE Transactions on Signal Processing, the International Journal of Signal Processing, and the EURASIP Journal of Applied Signal Processing. He was a guest editor of Space-Time Coding and Its Applications in the EURASIP Journal of Applied Signal Processing in 2002. He is also a Member of the Signal Processing for Communications Technical Committee and the Sensor Array and Multichannel (SAM) Technical Committee in the IEEE Signal Processing Society.     

Performance Evaluation of Different PSK Schemes in an OFDM System Using a Real Time Image

Orthogonal frequency division multiplexing (OFDM) is a multicarrier modulation scheme that combines a large number of low data rate carriers into a composite high data communication system. Unlike in many other modulation techniques, the addition of cyclic prefix to the OFDM symbols combats the intersymbol interference and the orthogonality of the carriers allows it to combat Intercarrier interference in the OFDM modulation technique. Acknowledging these advantages, OFDM is the most preferred modulation technique in most of the next-generation wireless communication networks for transmitting many forms of digital data with higher efficiency. To evaluate the functionality and overall performance of an OFDM system, a digital data corresponding to a two-dimensional gray-scale image is used as a test signal. This paper aims at evaluating the performance of various phase shift keying (PSK) techniques taking a real time image as a test sample, which is converted into a form suitable for OFDM transmission, then transmitting the converted OFDM signal over the additive white Gaussian noise channel over various signal to noise ratio values. The performance is evaluated by comparing the clarity of the received image after demodulation with the original image, bit error rate (BER) Vs SNR, transmission and reception times of various PSK schemes (BPSK, QPSK,16-PSK and 256-PSK). The BER offered by BPSK is the least while transmission times offered by 256-PSK is the least. Along with these, different PSK schemes are compared by changing the clipping amplitude that is done to combat nonlinearities due to high peak to average power ratio.

     

Multiple trellis coded orthogonal transmit scheme for multiple antenna systems

In this paper, a novel multiple trellis coded orthogonal transmit scheme is proposed to exploit transmit diversity in fading channels. In this scheme, a unique vector from a set of orthogonal vectors is assigned to each transmit antenna. Each of the output symbols from the multiple trellis encoder is multiplied with one of these orthogonal vectors and transmitted from corresponding transmit antennas. By correlating with corresponding orthogonal vectors, the receiver separates symbols transmitted from different transmit antennas. This scheme can be adopted in coherent/differential systems with any number of transmit antennas. It is shown that the proposed scheme encompasses the conventional trellis coded unitary space-time modulation based on the optimal cyclic group codes as a special case. We also propose two better designs over the conventional trellis coded unitary space-time modulation. The first design uses 8 Phase Shift Keying （8-PSK） constellations instead of 16 Phase Shift Keying （16-PSK） constellations in the conventional trellis coded unitary space-time modulation. As a result, the product distance of this new design is much larger than that of the conventional trellis coded unitary space-time modulation. The second design introduces constellations with multiple levels of amplitudes into the design of the multiple trellis coded orthogonal transmit scheme. For both designs, simulations show that multiple trellis coded orthogonal transmit schemes can achieve better performance than the conventional trellis coded unitarv space-time schemes.     

Block-Orthogonal Frequency Division Multiplexing in Multi-Path Fading Channel

Orthogonal frequency division multiplexing (OFDM) is robust against multi-path interference due to using a lot of low symbol rate sub-carriers. In order to mitigate the degradation due to multi-path interference, guard time interval (GI) is inserted into each OFDM symbol. However, redundant allocation to GI leads to loss of effective transmission power. We propose the Block-OFDM which can reduce the GI overhead ratio per frame compared with conventional OFDM. In Block-OFDM system frequency domain equalization (FDE) is carried out in order to remove multi-path interference. We evaluated Block-OFDM performance in a frequency selective fading channel and compared with that of conventional OFDM. Ryohei Kimura received his B.E. and M.S degrees in communications engineering form Tohoku University, Sendai, Japan, in 2001 and 2003, respectively. In 2003, he joined Panasonic Mobile Communications Co., Ltd. His current research interests include such mobile communication technologies as OFDM and MIMO (MLD), and the like. Akiyoshi Monma received his B.E. in communications engineering form Tohoku University, Sendai, Japan, in 1998. In 1998, he joined Panasonic Mobile Communications Sendai R&D Lab. Co., Ltd. His current research interests include such mobile communication technologies as OFDM and PAPR reduction, and the like. Jinsong Duan received his B.E. and M.S. from Changsha Institute of Technology, China in 1987 and 1990. He received his Ph.D. from Osaka City University, Japan in 2000. From 2000–2003 he was with Mitsubishi Electric Corporation, where he engaged in research and development of WCDMA systems. From 2003, he joined Panasonic Mobile Communications Co., Ltd. His current interests include such mobile communication technologies as OFDM, MIMO, link adaptation, scheduling, and TDMA/FDMA/CDMA systems. Mitsuru Uesugi received his B.E. degree from Waseda University in 1986 and received his Ph.D degree from Tohoku University in 2004, respectively. He is a general manager in the Mobile Communication Technology Development Center of Panasonic Mobile Communications Co., Ltd. His current research interests include such mobile communication technologies as equalization, interference cancellation, modulation method, and the like.     

非线性失真和相位噪声对DSTBC-OFDM性能的影响

文中介绍无线衰落信道中正交频分复用和差分空时分组码相结合的数据传输技术，研究了功率放大器的非线性失真和本地振荡器的相住噪声对系统性能的影响．研究结果表明，非线性失真对系统性能有严重影响，当相位噪声超过-20dB时，DSTBC-OFDM的性能也受到明显的影响．     

Performance of parallel concatenated space-time codes

We study a channel turbo-coding scheme that consists of parallel concatenated systematic space-time codes and is referred to as turbo space-time coded modulation (turbo-STCM). The scheme features full rate and simulation results shows that it also provides full diversity. Performance with recursive versus nonrecursive space-time constituent codes is investigated. The advantage of recursive component codes is demonstrated by simulations for a four state 4-PSK turbo-STCM scheme operating over a Rayleigh block-fading channel. It is also shown that the turbo-STCM performs better than conventional space-time codes of similar complexity     

异步OFDM空时协同分集方案

提出一种基于空时分组编码的异步正交频分复用（OFDM,Orthogonal Frequency Division Multiplexing）协同分集方案。提出的方案在中继节点实现OFDM调制及OFDM符号的时间反转和复共轭,信宿节点接收信号的每个OFDM子载波都具有Alamouti空时分组编码结构。信宿节点采用最大似然（ML,Maximum Likelihood）译码准则译码。仿真结果表明,提出的异步OFDM空时协同分集方案无需两个中继节点的同步可获得二阶分集增益,且与其它协同分集方案相比,该方案的误比特率和实现复杂度都更低。     

基于OFDM的MIMO-SAR抗多径波形设计

针对雷达多径干扰问题,提出一种基于正交频分复用（OFDM）的多发多收合成孔径雷达（MIMO-SAR）抗多径波形设计方法。该方法基于频率分集原理,设计循环移位OFDM-LFM波形提升OFDM波形有效带宽,并针对该波形设计MIMO平台收发模型,结合多通道正交波形空时编码（STC）方案实现多通道接收信号分离,该波形设计方案对SAR多径干扰抑制有效。该方法可以解决多径干扰导致的目标分辨率低及虚假目标问题,在机载SAR高分辨率成像、车载SAR城市探测与智能驾驶等方面具备广阔应用前景。     

Nakagami衰落信道中差分空时分组码误比特率分析

研究差分空时分组码在Nakagami衰落信道下的性能.在介绍2发1收差分空时分组码编译码方案的基础上,得出Nakagami信道下差分空时分组码的误比特率.仿真结果与理论计算值一致,证明了所推导误比特率计算表达式的正确性.     

A New Space-Time Multiple Trellis Coded Modulation Scheme Using Transmit Symbol Phase Rotation

Space-time multiple trellis coded modulation (ST-MTCM) has been introduced in order to achieve maximum transmit diversity gain and larger coding gain with the existence of parallel paths. In our previous research, we designed a new coded modulation scheme for ST-MTCM which simultaneously maximizes the coding gain and diversity gain utilizing Hadamard Matrix giving the maximum determinant. This scheme, however, cannot achieve full transmit rate. In this paper, we extend our research so as to achieve full rate transmission as well as maximum coding and diversity gain. In addition, Super-Orthogonal Space-Time Trellis Code (SO-STTC) is well known for its high coding gain, full diversity gain and full transmit rate. Even though our proposed scheme is essentially the same as SO-STTC, we show in this paper that our proposed code design is different from SO-STTC, and achieves better performance. Our proposed code design utilizes transmit symbol phase rotation at a certain time slot so as to avoid same path transition in trellis, which occurs with conventional SO-STTC scheme. We design codes with different way of phase rotation for different MPSK modulation scheme, and simulation results show the improvements of our proposed codes for MPSK modulation with different number of states. Susu Jiang was born in Jilin, China, in 1979. She received the B.E. and M.S. degrees in electrical and computer engineering from Yokohama National University, Yokohama, Japan, in 2001 and 2003, respectively. She is currently working toward the Ph.D. degree in electrical and computer engineering at Yokohama National University, Yokohama, Japan. Her research interests include space-time coding, channel coding in wireless communications, and information theory. She is a student member of the IEICE and IEEE. Ryuji Kohno received the Ph.D. degree from the University of Tokyo in 1984. Dr. Kohno is currently a Professor of the Division of Physics, Electrical and Computer Engineering, Yokohama National University. In his currier he was a director of Advanced Telecommunications Laboratory of SONY CSL during 1998–2002 and currently a director of UWB Technology institute of National Institute of Information and Communications Technology (NICT). In his academic activities, he was elected as a member of the Board of Governors of IEEE Information Theory (IT) Society in 2000 and 2003. He has played a role of an editor of the IEEE Transactions on IT, Communications, and Intelligent Transport Systems (ITS). He is a fellow of IEICE, vice-president of Engineering Sciences Society of IEICE and has been the Chairman of the IEICE Technical Committee on Spread Spectrum Technology, that on ITS, and that on Software Defined Radio (SDR). Prof. Kohno has contributed for organizing many international conferences, such as an chair-in honor of 2002 & 2003 International Conference of SDR (SDR'02 & SDR'03), a TPC co-chair of 2003 International Workshop on UWB Systems (IWUWBS'03), and a general co-chair of 2003 IEEE International Symposium on IT (ISIT'03), that of Joint UWBST&IWUWB'04 and so on. He was awarded IEICE Greatest Contribution Award and NTT DoCoMo Mobile Science Award in 1999 and 2002, respectively.     

基于空时分组编码的差分检测方法

利用正交设计原理提出了通用的差分空时分组码(GDSTBC，general differential space-time block code)。与已有的差分调制方法相比，GDSTBC对信号星图无任何限制，因而可利用幅度和相位同时携带信息提高频谱效率。基于最大似然准则，给出了平坦。Rayleigh衰落信道下的非相干译码器。我们将证明：在高信噪比下，GDSTBC能够以线性复杂度和满天线分集恢复数据符号；在PSK调制方式下，没有信道估计时性能下降3dB；Ganesan基于PSK星图的差分空时分组码、Xia基于APSK星图的差分空时调制技术都可看成GDSTBC的特例。     

Multi-resolution 64-DAPSK modulation in a hierarchical COFDMtransmission system

Two alternative modulation schemes of 64-QAM (quadrature amplitude modulation) and 64-DAPSK (differential amplitude and phase shift keying) with a coherent and incoherent demodulation have been proposed for digital terrestrial video broadcasting (DTVB) in combination with the coded orthogonal frequency division multiplexing (COFDM) technique (Schafer 1995, and Engels and Rohling 1995). Additionally, a hierarchical transmission system based on a multi-resolution (MR) 64-QAM is described in Engels and Rohling which extends the service area of a TV programme in decoding a stepwise reduced data rate with increasing transmitter distance (graceful degradation). This procedure corresponds to a decreasing picture quality. In this paper MR concepts for the 64-DAPSK are developed. A performance comparison between the hierarchical transmission systems (MR-64-QAM/OFDM and MR-64-DAPSK/OFDM) is described for the uncoded and coded case     

Full-Rate Complex Orthogonal Space-Time Block Code for Multiple Antennas

In this paper, full-rate and complex orthogonal space-time block code (STBC) schemes for multiple antennas are proposed, and turbo code is employed as channel coding to improve the proposed STBC schemes performance further. Compared with full-diversity multiple antennas STBC schemes, the proposed schemes can implement full data rate, partial diversity and a smaller complexity. On the condition of the same system throughput and concatenation of turbo code, the proposed schemes have lower bit error rate (BER) than those low-rate and full-diversity code schemes.This work is supported by China Postdoctoral Science Foundation under grant No. 2005038242 and Chinese Jiangsu Planned Projects for Postdoctoral Research Funds. Xiangbin Yu received the M.S degrees in Communication and Information Systems from Hohai University, Nanjing, China, in 2001; and his Ph.D. in Communication and Information Systems in 2004 from National Mobile Communications Research Laboratory at Southeast University, China. Now he is working as a Postdoctoral Researcher in Information and Communication Engineering Postdoctoral Research Station at Nanjing University of Aeronautics and Astronautics, Nanjing, China. His research interests include multi-carrier digital communication, space-time coding, adaptive modulation and digital signal processing in communications. DaZhuan Xu received the M.S degrees and Ph.D. in Communication and Information Systems from Nanjing University of Aeronautics and Astronautics in 1986 and 2001, respectively. He is now a full professor in College of Information Science and Technology, Nanjing University of Aeronautics and Astronautics, Nanjing, China. Prof. Xu is a Senior Member of China Institute of Electronics (CIE). His research interests include digital communications, soft radio, coding theory, medical signal processing. Guangguo Bi was graduated from Nanjing Institute of Technology, Nanjing, China, in 1960. He is now a professor in the Department of Radio Engineering of Southeast University, Nanjing, China. Prof. Bi is a fellow and a member of the board of Director of the China Institute of Communications, and a senior member of IEEE. His research interests include digital communications, personal communications network, spread spectrum communications, and intelligent information processing. He has published more than 200 papers in above areas.     

Performance Analysis of Distributed-Antenna Communication Systems Using Beam-Hopping Under Strong Directional Interference

In order to efficiently mitigate the interference of directional jammers, we investigate a beam-hopping (BH) communication scheme, which includes slow beam-hopping (SBH) and fast beam-hopping (FBH) schemes. In the BH communication scheme, only one pair of the beams is used for transmission and it hops from one to the next according to an assigned BH pattern. In this contribution, a range of expressions in terms of the symbol error rate (SER) performance of the BH and conventional single-beam (SB) schemes have been derived, when both the downlink and uplink are considered. The SER performance of the BH scheme is compared with that of the SB scheme, for M-ary phase-shift keying (MPSK) and M-ary quadrature amplitude modulation (MQAM) signals under composite log normal shadowing/Nakagami-m fading channels. Our analysis and results show that the proposed BH scheme is suitable for communications, when several distributed antenna arrays are available around a mobile.Honglin Hu received his Ph.D in Communications and Information System from the University of Science and Technology of China, 2004. Currently he is with Future Radio, Siemens AG Communications in Munich, Germany. In Siemens, he makes researches mainly on SDMA and OFDM techniques, also on the cross-layer design and optimization for future wireless communication systems. Dr. Hu is a member of IEEE.Jinkang Zhu is a professor of Department of Electronic Engineering & Information Science of University of Science and Technology of China (USTC). Now he is director of Personal Communication Network and Spread Spectrum Lab. of USTC, Chair of the Academic Committee of School of Information Science & Technology of USTC, Vice-Chair of the Academic Committee of USTC.He was Permanent V-President of School of Information Science & Technology of USTC, Chairman of PCN Experts Group of Communication Project of National R&D on High-Technology Programme of China, Member of Information Technology Expert Group of the Chinese Academy of Sciences, Member (Representation of China Mainland) of Technical Forum on Wireless Communications of Asia Pacific Region, Member of Technical Advisory Committee of IEEE VTC99 Fall, Member of Technical Program Committee of IEEE VTC2000, Member of Technical Program Committee of SCI2001.His research area is Wireless and Mobile Communications, CDMA and Spread Spectrum Communications, Signal Process of Communications, and Wireless Networks. He got two awards of Ministry of Science & Technology of China, three awards of Chinese Academy of Science. He published five books and 100 papers, where synchronous CDMA method proposed is used in TD-SCDMA Standard of 3G as basic technology.     

Low Complexity Soft Decision Technique for Gray Mapping Modulation

High order Gray mapping modulation has been widely used in wireless communications, but the traditional soft decision technique via the log-sum approximation is of high computational complexity. In this paper, a low complexity soft decision technique is proposed for popular Gray mapping modulation schemes, including M-PAM, M-PSK and square M-QAM. Compared with the traditional log-sum approximation, the proposed technique can effectively reduce the computational complexity without any performance degradation.