Comparison of generalized Tomlinson-Harashima precoding strategies for the broadcast channel

We study Tomlinson-Harashima precoding (THP) for the broadcast scenario, i.e., transmission from a central base station to a number of scattered, non-cooperating mobile stations. In the linear description of THP, given the data symbol, a suited signal representation is selected from an effective signal constellation. In this paper, we assess how to choose the effective signal constellation. It is shown that conventional THP is optimal with respect to minimizing transmit power under the constraint of preserving the minimum distance of the initial signal constellation, but suffers from an increased number of nearest neighbors. Especially when using 4QAM signaling (the worst case constellation in THP) an alternating periodic extension is attractive as it enables a tradeoff between an increased transmit power and the number of nearest neighbors.

[1]  Erik G. Larsson,et al.  Optimal Modulation for Known Interference , 2007, 2007 IEEE International Conference on Acoustics, Speech and Signal Processing - ICASSP '07.

[2]  H. Miyakawa,et al.  Matched-Transmission Technique for Channels With Intersymbol Interference , 1972, IEEE Trans. Commun..

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

[4]  Stephan ten Brink,et al.  A close-to-capacity dirty paper coding scheme , 2004, IEEE Transactions on Information Theory.

[5]  Allen Gersho,et al.  Vector quantization and signal compression , 1991, The Kluwer international series in engineering and computer science.

[6]  Ralf R. Müller,et al.  On Convex Vector Precoding for Multiuser MIMO Broadcast Channels , 2009, IEEE Transactions on Signal Processing.

[7]  Stephan ten Brink,et al.  A close-to-capacity dirty paper coding scheme , 2004, ISIT.

[8]  Christoph Windpassinger,et al.  Detection and Precoding for Multiple Input Multiple Output Channels , 2004 .

[9]  Babak Hassibi,et al.  An efficient square-root algorithm for BLAST , 2000, 2000 IEEE International Conference on Acoustics, Speech, and Signal Processing. Proceedings (Cat. No.00CH37100).

[10]  M. Tomlinson.  New automatic equaliser employing modulo arithmetic , 1971 .

[11]  John M. Cioffi,et al.  Vectored transmission for digital subscriber line systems , 2002, IEEE J. Sel. Areas Commun..

[12]  G. Fettweis,et al.  Vector precoding with bounded complexity , 2007, 2007 IEEE 8th Workshop on Signal Processing Advances in Wireless Communications.

[13]  Holger Boche,et al.  A unifying theory for uplink and downlink multiuser beamforming , 2002, 2002 International Zurich Seminar on Broadband Communications Access - Transmission - Networking (Cat. No.02TH8599).

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

[15]  Ralf R. Müller,et al.  Vector Precoding for Wireless MIMO Systems and its Replica Analysis , 2007, IEEE Journal on Selected Areas in Communications.

[16]  Robert F. H. Fischer,et al.  Precoding and Signal Shaping for Digital Transmission , 2002 .

[17]  P. W. Baier,et al.  Minimum Energy Precoding in Receiver Oriented MIMO Multi-User Mobile Radio Downlinks , 2007, 2007 IEEE 65th Vehicular Technology Conference - VTC2007-Spring.

[18]  Robert F. H. Fischer,et al.  Space-Time Transmission using Tomlinson-Harashima Precoding , 2002 .

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

[20]  Wolfgang Utschick,et al.  On the MSE-Duality of the Broadcast Channel and the Multiple Access Channel , 2009, IEEE Transactions on Signal Processing.