Bit Allocation Between Per-Cell Codebook and Phase Ambiguity Quantization for Limited Feedback Coordinated Multi-Point Transmission Systems

Coordinated multi-point (CoMP) transmission is a promising technique for improving spectral efficiency of full frequency reuse cellular systems. However, its performance will be severely degraded if the feedback strategies are not carefully designed for providing channel information through limited uplink resources to the coherently cooperated base stations. In this paper, we study per-cell codebook based limited feedback scheme, which is highly desirable for CoMP systems due to its scalability and flexibility. Specifically, we investigate the issues related to phase ambiguity (PA), which comes from the per-cell codebook structure. We first analyze how many bits are required for the PA feedback to ensure an allowed performance loss. We then propose an adaptive bit allocation algorithm to divide a given amount of feedback bits between the per-cell codebooks for single-cell channel direction quantization and a codebook for PA quantization, aiming at minimizing the average global channel direction quantization error. Finally we provide a scaling law of the number of feedback bits per-user when the bit allocation algorithm is used. Simulation results show that the proposed bit allocation algorithm significantly improves the throughput of coherent CoMP systems either with equal number or different number of antennas at each base station.

[1]  Andrea J. Goldsmith,et al.  Multi-Antenna Downlink Channels with Limited Feedback and User Selection , 2007, IEEE Journal on Selected Areas in Communications.

[2]  Wei Yu,et al.  Bit Allocation Laws for Multi-Antenna Channel Quantization: Multi-User Case , 2010 .

[3]  Harry L. Van Trees,et al.  Optimum Array Processing: Part IV of Detection, Estimation, and Modulation Theory , 2002 .

[4]  Howard C. Huang,et al.  Optimum power allocation for the MIMO-BC zero-forcing precoder with per-antenna power constraints , 2006, 2006 40th Annual Conference on Information Sciences and Systems.

[5]  Bhaskar D. Rao,et al.  Analysis of Multiple Antenna Systems With Finite-Rate Channel Information Feedback Over Spatially Correlated Fading Channels , 2007, IEEE Transactions on Signal Processing.

[6]  Wei Yu,et al.  Bit Allocation Law for Multiantenna Channel Feedback Quantization: Single-User Case , 2011, IEEE Transactions on Signal Processing.

[7]  H. E. Bell,et al.  Gershgorin's Theorem and the Zeros of Polynomials , 1965 .

[8]  Robert W. Heath,et al.  Equal gain transmission in multiple-input multiple-output wireless systems , 2002, Global Telecommunications Conference, 2002. GLOBECOM '02. IEEE.

[9]  Nihar Jindal MIMO broadcast channels with finite rate feedback , 2005, GLOBECOM.

[10]  Michael L. Honig,et al.  Optimization of Training and Feedback Overhead for Beamforming Over Block Fading Channels , 2010, IEEE Transactions on Information Theory.

[11]  Vincent K. N. Lau,et al.  A Scalable Limited Feedback Design for Network MIMO Using Per-Cell Product Codebook , 2010, IEEE Transactions on Wireless Communications.

[12]  Kenneth W. Shum,et al.  Convergence of Iterative Waterfilling Algorithm for Gaussian Interference Channels , 2007, IEEE Journal on Selected Areas in Communications.

[13]  Robert W. Heath,et al.  Systematic Codebook Designs for Quantized Beamforming in Correlated MIMO Channels , 2007, IEEE Journal on Selected Areas in Communications.

[14]  Di Su,et al.  Quantization based on per-cell codebook in cooperative multi-cell systems , 2011, 2011 IEEE Wireless Communications and Networking Conference.

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

[16]  Shlomo Shamai,et al.  Enhancing the cellular downlink capacity via co-processing at the transmitting end , 2001, IEEE VTS 53rd Vehicular Technology Conference, Spring 2001. Proceedings (Cat. No.01CH37202).

[17]  Wei Yu,et al.  Multi-Cell MIMO Cooperative Networks: A New Look at Interference , 2010, IEEE Journal on Selected Areas in Communications.

[18]  Reinaldo A. Valenzuela,et al.  Network coordination for spectrally efficient communications in cellular systems , 2006, IEEE Wireless Communications.

[19]  Bruno Clerckx,et al.  MU-MIMO with Channel Statistics-Based Codebooks in Spatially Correlated Channels , 2008, IEEE GLOBECOM 2008 - 2008 IEEE Global Telecommunications Conference.

[20]  Namyoon Lee,et al.  Adaptive Feedback Scheme on K-Cell MISO Interfering Broadcast Channel with Limited Feedback , 2011, IEEE Transactions on Wireless Communications.

[21]  Robert W. Heath,et al.  An overview of limited feedback in wireless communication systems , 2008, IEEE Journal on Selected Areas in Communications.

[22]  Ari Hottinen,et al.  Increasing downlink cellular throughput with limited network MIMO coordination , 2009, IEEE Transactions on Wireless Communications.

[23]  Robert W. Heath,et al.  Limited feedback with joint CSI quantization for multicell cooperative generalized eigenvector beamforming , 2010, 2010 IEEE International Conference on Acoustics, Speech and Signal Processing.

[24]  Robert W. Heath,et al.  Adaptive Limited Feedback for Sum-Rate Maximizing Beamforming in Cooperative Multicell Systems , 2009, IEEE Transactions on Signal Processing.

[25]  Di Su,et al.  Necessity of Phase Ambiguity Quantization for Limited Feedback Coordinated Multi-Point Transmission , 2011, 2011 IEEE Vehicular Technology Conference (VTC Fall).

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

[27]  David Gesbert,et al.  Optimized Data Sharing in Multicell MIMO With Finite Backhaul Capacity , 2011, IEEE Transactions on Signal Processing.

[28]  Jeffrey G. Andrews,et al.  Networked MIMO with clustered linear precoding , 2008, IEEE Transactions on Wireless Communications.

[29]  Ami Wiesel,et al.  Zero-Forcing Precoding and Generalized Inverses , 2008, IEEE Transactions on Signal Processing.

[30]  Chenyang Yang,et al.  Codebook Design and Selection for Multi-Cell Cooperative Transmission Limited Feedback Systems , 2011, 2011 IEEE 73rd Vehicular Technology Conference (VTC Spring).