Suboptimal Resource Allocation for Multi-User MIMO-OFDMA Systems

Future wireless communication systems are expected to reliably provide data services with rate requirements ranging from a few kbit/s up to some Mbits/s and, due to the high costs of frequency spectrum, these systems also need to be extremely efficient in terms of the spectrum usage. In particular, the application of transmission schemes based on Orthogonal Frequency Division Multiple Access (OFDMA) and on Multiple Input Multiple Output (MIMO) is considered as a promising solution to meet these requirements. On the one hand, MIMO-OFDMA systems are flexible and spectrally efficient. On the other hand, the considerably large number of subcarriers and the inclusion of the space dimension make the Resource Allocation (RA) in such systems very complex. In fact, the optimum RA that maximizes the sum rate of the system is often too complex for practical application and, consequently, suboptimal rather efficient and low-complexity RA strategies are required in order to allocate the frequency, time, and space resources of the system to the Mobile Stations (MSs). This thesis deals with suboptimal RA strategies in the downlink of MIMO-OFDMA systems aiming at the maximization of the sum rate. In order to solve the problem of maximizing the sum rate with affordable complexity, a new formulation for the problem is proposed which divides it into four subproblems, namely the Space Division Multiple Access (SDMA) grouping problem, the precoding problem, the power allocation problem, and the resource assignment problem. For each subproblem, several existing or newly proposed algorithms are applied, which are also oriented towards the maximization of the sum rate of the system. Through the combination of these algorithms, new suboptimal rather efficient RA strategies are obtained. For the SDMA grouping problem, four new SDMA algorithms are proposed: one algorithm based on convex optimization and three greedy algorithms based on simple heuristics. The proposed algorithms build the SDMA groups based only on the spatial correlation and channel gain of the MSs and depend neither on precoding nor on power allocation. The proposed algorithms are shown to perform as good as some existing SDMA algorithms in terms of the achieved average sum rate and to have considerably lower computational complexity than the existing ones. For the precoding problem, two existing algorithms are adopted. For the power allocation problem, a new iterative Soft Dropping Algorithm (SDA) is proposed, which is subsequently combined with Generalized Eigen-Precoding (GEP) into a new iterative joint precoding and power allocation algorithm. Moreover, the proof for the convergence of the joint precoding and power allocation algorithm is provided. In particular, the SDA and, consequently, the joint precoding and power allocation algorithm can pursue either the maximization of the sum rate or the provision of Quality of Service (QoS) to the MS by means of a simple parameter setting. Also as part of the precoding and power allocation algorithm, a new Sequential Removal Algorithm (SRA) is proposed, which might remove MSs from SDMA groups as to enhance the sum rate. For the resource assignment problem, algorithms performing either separated or joint SDMA grouping and resource assignment are proposed and compared. For the maximization of the sum rate of the system, it is shown that a sequential assignment of resources to SDMA groups performs as good as assignment algorithms performing joint SDMA grouping and resource assignment while being considerably more simple. Moreover, different criteria to prioritize MS or SDMA groups are considered by the assignment algorithms, and it is shown that by adopting a suitable priority criterion the throughput fairness among the MSs can be considerably improved at the expense of only small reductions of the average sum rate of the system. The new suboptimal RA strategies that result from the combination of the proposed algorithms are shown to obtain a considerable fraction of the maximum achievable sum rate of the system with computational costs considerably lower than that of an optimum RA. Indeed, the proposed RA strategies achieve over 90% of the average sum rate obtained by an RA strategy performing an Exhaustive Search (ES) for the SDMA group that maximizes the sum rate.

[1]  Reinaldo A. Valenzuela,et al.  Spectral efficiency of wireless systems with multiple transmit and receive antennas , 2000, 11th IEEE International Symposium on Personal Indoor and Mobile Radio Communications. PIMRC 2000. Proceedings (Cat. No.00TH8525).

[2]  Carl D. Meyer,et al.  Matrix Analysis and Applied Linear Algebra , 2000 .

[3]  Takeo Ohgane,et al.  A study on a channel allocation scheme with an adaptive array in SDMA , 1997, 1997 IEEE 47th Vehicular Technology Conference. Technology in Motion.

[4]  A. Goldsmith,et al.  Sum power iterative water-filling for multi-antenna Gaussian broadcast channels , 2002, Conference Record of the Thirty-Sixth Asilomar Conference on Signals, Systems and Computers, 2002..

[5]  John G. Proakis,et al.  Probability, random variables and stochastic processes , 1985, IEEE Trans. Acoust. Speech Signal Process..

[6]  Leandros Tassiulas,et al.  Joint Multiuser Downlink Beamforming and Admission Control: A Semidefinite Relaxation Approach , 2007, 2007 IEEE International Conference on Acoustics, Speech and Signal Processing - ICASSP '07.

[7]  Hui Liu,et al.  OFDM-Based Broadband Wireless Networks – Design and Optimization , 2005 .

[8]  Emre Telatar,et al.  Capacity of Multi-antenna Gaussian Channels , 1999, Eur. Trans. Telecommun..

[9]  R. Hunger Floating Point Operations in Matrix-Vector Calculus , 2022 .

[10]  Anja Klein,et al.  Adaptive Subcarrier Allocation with Imperfect Channel Knowledge Versus Diversity Techniques in a Multi-User OFDM-System , 2007, 2007 IEEE 18th International Symposium on Personal, Indoor and Mobile Radio Communications.

[11]  Terence D. Todd,et al.  Dynamic slot allocation (DSA) in indoor SDMA/TDMA using smart antenna basestation , 2001, TNET.

[12]  Theodore S. Rappaport,et al.  Smart Antennas for Wireless Communications: Is-95 and Third Generation Cdma Applications , 1999 .

[13]  Andrea J. Goldsmith,et al.  Optimality of zero-forcing beamforming with multiuser diversity , 2005, IEEE International Conference on Communications, 2005. ICC 2005. 2005.

[14]  P. Zetterberg,et al.  A comparison of two systems for down link communication with antenna arrays at the base , 1995, IEEE Wireless Communication System Symposium.

[15]  Cyril Leung,et al.  An overview of scheduling algorithms in wireless multimedia networks , 2002, IEEE Wirel. Commun..

[16]  Göran Klang,et al.  Integration of Spatial Processing in the WINNER B3G Air Interface Design , 2006, 2006 IEEE 63rd Vehicular Technology Conference.

[17]  Adam Wolisz,et al.  Dynamic resource allocation in OFDM systems: an overview of cross-layer optimization principles and techniques , 2007, IEEE Network.

[18]  Javier Romero,et al.  GSM, Gprs and Edge Performance , 2003 .

[19]  Max H. M. Costa,et al.  Writing on dirty paper , 1983, IEEE Trans. Inf. Theory.

[20]  Josef A. Nossek,et al.  Sum-Rate Maximizing Decompositon Approaches for Multiuser MIMO-OFDM , 2005, 2005 IEEE 16th International Symposium on Personal, Indoor and Mobile Radio Communications.

[21]  Abbas El Gamal,et al.  An outer bound to the capacity region of the broadcast channel , 2006, ISIT.

[22]  Magnus Almgren,et al.  Radio Resource Management for Wireless Networks , 2001 .

[23]  David S. Johnson,et al.  Computers and Intractability: A Guide to the Theory of NP-Completeness , 1978 .

[24]  V. Stankovic Multi-user MIMO wireless communications , 2007 .

[25]  Subhrakanti Dey,et al.  Distributed Power Control for Cellular MIMO Systems with Temporal and Spatial Filtering , 2004 .

[26]  Wei Qiu,et al.  Receiver Orientation versus Transmitter Orientation in Linear MIMO Transmission Systems , 2004, EURASIP J. Adv. Signal Process..

[27]  D. B. Calvo Fairness Analysis of Wireless Beamforming Schedulers , 2005 .

[28]  J.R. Fonollosa,et al.  Antennas: state of the art , 2006, IEEE Vehicular Technology Magazine.

[29]  Antti Tölli,et al.  Scheduling for Multiuser MIMO Downlink with Linear Processing , 2005, 2005 IEEE 16th International Symposium on Personal, Indoor and Mobile Radio Communications.

[30]  Stephen P. Boyd,et al.  Convex Optimization , 2004, Algorithms and Theory of Computation Handbook.

[31]  Andrea J. Goldsmith,et al.  Capacity limits of MIMO channels , 2003, IEEE J. Sel. Areas Commun..

[32]  M. J. Gans,et al.  On Limits of Wireless Communications in a Fading Environment when Using Multiple Antennas , 1998, Wirel. Pers. Commun..

[33]  Upamanyu Madhow,et al.  Space-Time transmit precoding with imperfect feedback , 2001, IEEE Trans. Inf. Theory.

[34]  Josef A. Nossek,et al.  Linear transmit processing in MIMO communications systems , 2005, IEEE Transactions on Signal Processing.

[35]  L. C. Godara,et al.  Handbook of Antennas in Wireless Communications , 2001 .

[36]  Roger S. Cheng,et al.  Optimal resource allocation in SDMA/multiinput-single-output/OFDM systems under QoS and power constraints , 2004, 2004 IEEE Wireless Communications and Networking Conference (IEEE Cat. No.04TH8733).

[37]  Björn E. Ottersten,et al.  Models for MIMO propagation channels: a review , 2002, Wirel. Commun. Mob. Comput..

[38]  B. Sklar,et al.  Rayleigh fading channels in mobile digital communication systems Part I: Characterization , 1997, IEEE Commun. Mag..

[39]  Yuhong Yang Elements of Information Theory (2nd ed.). Thomas M. Cover and Joy A. Thomas , 2008 .

[40]  Laurence A. Wolsey,et al.  Integer and Combinatorial Optimization , 1988 .

[41]  Antonio Pascual-Iserte,et al.  Spatial scheduling algorithms for wireless systems , 2003, 2003 IEEE International Conference on Acoustics, Speech, and Signal Processing, 2003. Proceedings. (ICASSP '03)..

[42]  A. Lee Swindlehurst,et al.  A vector-perturbation technique for near-capacity multiantenna multiuser communication-part II: perturbation , 2005, IEEE Transactions on Communications.

[43]  Chienhua Chen,et al.  Service disciplines for guaranteed performance service , 1997, Proceedings Fourth International Workshop on Real-Time Computing Systems and Applications.

[44]  Holger Boche,et al.  Solution of the multiuser downlink beamforming problem with individual SINR constraints , 2004, IEEE Transactions on Vehicular Technology.

[45]  Leandros Tassiulas,et al.  Adaptive resource allocation in SDMA-based wireless broadband networks with OFDM signaling , 2002, Proceedings.Twenty-First Annual Joint Conference of the IEEE Computer and Communications Societies.

[46]  Khaled Ben Letaief,et al.  Dynamic multiuser resource allocation and adaptation for wireless systems , 2006, IEEE Wireless Communications.

[47]  Thorsten Wild Successive user insertion for long-term adaptive beams with SDMA using short-term CQI , 2007 .

[48]  Simon Haykin,et al.  Adaptive Filter Theory 4th Edition , 2002 .

[49]  Shlomo Shamai,et al.  On the achievable throughput of a multiantenna Gaussian broadcast channel , 2003, IEEE Transactions on Information Theory.

[50]  Mats Bengtsson,et al.  Cross-layer scheduling for multi-user MIMO systems , 2006, IEEE Communications Magazine.

[51]  Martin Haardt,et al.  A novel tree-based scheduling algorithm for the downlink of multi-user MIMO systems with ZF beamforming , 2005, Proceedings. (ICASSP '05). IEEE International Conference on Acoustics, Speech, and Signal Processing, 2005..

[52]  Roy D. Yates,et al.  A Framework for Uplink Power Control in Cellular Radio Systems , 1995, IEEE J. Sel. Areas Commun..

[53]  A. Lee Swindlehurst,et al.  A vector-perturbation technique for near-capacity multiantenna multiuser communication-part I: channel inversion and regularization , 2005, IEEE Transactions on Communications.

[54]  Nikos D. Sidiropoulos,et al.  Low-complexity downlink beamforming for maximum sum capacity , 2004, 2004 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[55]  Gerhard Bauch,,et al.  Aspects of Multiuser MIMO for Cell Throughput Maximization , 2007 .

[56]  Roy D. Yates,et al.  Soft dropping power control , 1997, 1997 IEEE 47th Vehicular Technology Conference. Technology in Motion.

[57]  Anja Klein,et al.  Low complexity and power efficient space-time-frequency coding for OFDMA , 2006 .

[58]  Ramjee Prasad,et al.  OFDM for Wireless Multimedia Communications , 1999 .

[59]  Raj Jain,et al.  The art of computer systems performance analysis - techniques for experimental design, measurement, simulation, and modeling , 1991, Wiley professional computing.

[60]  Rohit U. Nabar,et al.  Introduction to Space-Time Wireless Communications , 2003 .

[61]  Martin Haardt,et al.  Geometry-based channel modelling of MIMO channels in comparison with channel sounder measurements , 2005 .

[62]  Martin Haardt,et al.  Zero-forcing methods for downlink spatial multiplexing in multiuser MIMO channels , 2004, IEEE Transactions on Signal Processing.

[63]  Tarcisio F. Maciel,et al.  A Low-Complexity SDMA Grouping Strategy for the Downlink of Multi-User MIMO Systems , 2006, 2006 IEEE 17th International Symposium on Personal, Indoor and Mobile Radio Communications.

[64]  Hiroshi Sato,et al.  An outer bound to the capacity region of broadcast channels (Corresp.) , 1978, IEEE Trans. Inf. Theory.

[65]  David Tse,et al.  Sum capacity of the vector Gaussian broadcast channel and uplink-downlink duality , 2003, IEEE Trans. Inf. Theory.

[66]  Quentin H. Spencer,et al.  Channel allocation in multi-user MIMO wireless communications systems , 2004, 2004 IEEE International Conference on Communications (IEEE Cat. No.04CH37577).

[67]  Juan Melero,et al.  GSM, GPRS and EDGE Performance: Evolution Toward 3G/UMTS , 2002 .

[68]  Anja Klein,et al.  Low complexity multi carrier multiple access with cyclic delay diversity , 2006 .

[69]  Björn E. Ottersten,et al.  System evaluation of optimal downlink beamforming with congestion control in wireless communication , 2006, IEEE Transactions on Wireless Communications.

[70]  Theodore S. Rappaport,et al.  Wireless communications - principles and practice , 1996 .

[71]  Björn E. Ottersten,et al.  Opportunistic Beamforming and Scheduling for OFDMA Systems , 2007, IEEE Transactions on Communications.

[72]  Roger S. Cheng,et al.  Reduced-complexity power allocation in zeroforcing MIMO-OFDM downlink system with multiuser diversity , 2005, Proceedings. International Symposium on Information Theory, 2005. ISIT 2005..

[73]  Wei Qiu Transmit power reduction in MIMO multi-user mobile radio downlinks by the rationale receiver orientation , 2005 .

[74]  Babak Hassibi,et al.  How much training is needed in multiple-antenna wireless links? , 2003, IEEE Trans. Inf. Theory.

[75]  Martin Haardt,et al.  An introduction to the multi-user MIMO downlink , 2004, IEEE Communications Magazine.

[76]  Martin Haardt,et al.  Successive optimization Tomlinson-Harashima precoding (SO THP) for multi-user MIMO systems , 2005, Proceedings. (ICASSP '05). IEEE International Conference on Acoustics, Speech, and Signal Processing, 2005..

[77]  Robert Y. Al-Jaar Book review: The Art of Computer Systems Performance Analysis: Techniques for Experimental Design, Measurement, Simulation, and Modeling by Raj Jain (John Wiley & Sons 1991) , 1991, SIGMETRICS 1991.

[78]  Roger S. Cheng,et al.  Capacity Maximization for Zero-Forcing MIMO-OFDMA Downlink Systems with Multiuser Diversity , 2007, IEEE Transactions on Wireless Communications.

[79]  Andrea J. Goldsmith,et al.  Duality, achievable rates, and sum-rate capacity of Gaussian MIMO broadcast channels , 2003, IEEE Trans. Inf. Theory.

[80]  Martin Haardt,et al.  Linear MMSE Multi-User MIMO Downlink Precoding for Users with Multiple Antennas , 2006, 2006 IEEE 17th International Symposium on Personal, Indoor and Mobile Radio Communications.

[81]  Vincent K. N. Lau Proportional fair spatial scheduling for wireless access point with multiple antenna - reverse link with scalar feedback , 2002, Global Telecommunications Conference, 2002. GLOBECOM '02. IEEE.

[82]  S. Haykin,et al.  Adaptive Filter Theory , 1986 .

[83]  Jacques Carlier,et al.  Handbook of Scheduling - Algorithms, Models, and Performance Analysis , 2004 .

[84]  Josef A. Nossek,et al.  A real time downlink channel allocation scheme for an SDMA mobile radio system , 1996, Proceedings of PIMRC '96 - 7th International Symposium on Personal, Indoor, and Mobile Communications.

[85]  Daniel Pérez Palomar,et al.  Practical algorithms for a family of waterfilling solutions , 2005, IEEE Transactions on Signal Processing.

[86]  Gregory W. Wornell,et al.  Efficient use of side information in multiple-antenna data transmission over fading channels , 1998, IEEE J. Sel. Areas Commun..

[87]  Khaled Ben Letaief,et al.  An efficient resource-allocation scheme for spatial multiuser access in MIMO/OFDM systems , 2005, IEEE Transactions on Communications.

[88]  Magnus Almgren,et al.  Power control in a cellular system , 1994, Proceedings of IEEE Vehicular Technology Conference (VTC).

[89]  Florian Roemer,et al.  Distributed MIMO Systems with Spatial Reuse for High-Speed Indoor Mobile Radio Access , 2022 .

[90]  Antti Toskala,et al.  Wcdma for Umts , 2002 .