Multiuser Diversity - Multiplexing Tradeoff in MIMO Broadcast Channels with Limited Feedback (original) (raw)

Exploiting multiuser diversity in MIMO broadcast channels with limited feedback

We consider a multiple antenna broadcast channel in which a base station equipped with M transmit antennas communicates with K ≥ M single-antenna receivers. Each receiver has perfect channel state information (CSI), whereas the transmitter has partial channel knowledge obtained via a limited rate feedback channel. Built upon multiuser interference bounds, we propose scalar feedback metrics that incorporate information on the channel gain, the channel direction, and the quantization error, with the goal to provide an estimate of the received signal-to-noise plus interference ratio (SINR) at the transmitter. These metrics, combined with efficient user selection algorithms and zero-forcing beamforming on the quantized channel are shown to achieve a significant fraction of the capacity of the full CSIT case by exploiting multiuser diversity. A multi-mode scheme that allows us to switch from multiuser to single-user transmission is also proposed as a means to compensate for the capacity ceiling effect of quantization error and achieve linear sum-rate growth in the interference-limited region.

MIMO Broadcast Scheduling with Limited Feedback

IEEE Journal on Selected Areas in Communications, 2007

We consider multiuser scheduling with limited feedback of partial channel state information in MIMO broadcast channels. By using spatial multiplexing at the base station (BS) and antenna selection for each user, we propose a multiuser scheduling method that allocates independent information streams from all M transmit antennas to the M most favorable users with the highest signal-to-interference-plus-noise ratio (SINR). A close approximation of the achievable sum-rate throughput for the proposed method is obtained and shown to match the simulation results very well. Moreover, two reduced feedback scheduling approaches are proposed. In the first approach, which we shall refer to as selected feedback scheduling, the users are selected based on their SINR compared to a predesigned threshold. Only those selected users are allowed to feed back limited information to the BS. The resultant feedback load and achievable throughput are derived. It will then be demonstrated that with a proper choice of the threshold, the feedback load can be greatly reduced with a negligible performance loss. The second reduced feedback scheduling approach employs quantization for each user, in which only few bits of quantized SINR are fed back to the BS. Performance analysis will show that even with only 1-bit quantization, the proposed quantized feedback scheduling approach can exploit the multiuser diversity at the expense of slight decrease of throughput.

Limited feedback signaling for MIMO broadcast channels

IEEE 6th Workshop on Signal Processing Advances in Wireless Communications, 2005.

Recently, a number of techniques have been introduced to exploit multiuser diversity of a wireless multiple input multiple output (MIMO) broadcast channel (BC) that consists of a base station (BS) with t transmit antennas and K mobile stations (MS) with multiple antennas. However, prior works have ignored the rate overhead associated with feedback of MIMO BC channel state information (CSI), which is roughly K times larger than single-user MIMO CSI (i.e., it is O(tr) where r = P K k=1 r k and r k is the number of antennas at the kth MS). Considering the amount of feedback signaling, quantization is a necessity for effective feedback transmission as a form of partial CSI. In this paper, we propose the greedy multi-channel selection diversity (greedy MCSD) scheme based on block MMSE QR decomposition with dirty paper coding (block MMSE-DP), where partial CSI is almost sufficient. The sum-rate performance of our novel scheme approaches extremely close to the sum capacity of MIMO BC as the number of users increases, whereas the feedback overhead is reduced by a factor of 2t 3 /L(t 2 − t), in which L is the number of active channel vectors. Simulation results validate the expectation from the analysis.

Reduced feedback for selective fading MIMO broadcast channels

In this article, we analyze the selective multiple-input multiple-output broadcast channel, where links are assumed to be selective in both time and frequency. The assumption of full channel knowledge at the transmitter side requires a large amount of feedback, and it is therefore not practical to be implemented in real systems. A more feasible solution with finite rate feedback originally proposed by Jindal in IEEE Trans. Inf. Theory is applied here to the selective fading case, where the minimal number of feedback bits required to achieve the full multiplexing is derived. We show that the correlation between time frequency channels can be used in order to minimize the number of feedback bits to the transmitter side while conserving the maximal multiplexing gain. Finally, the practical implementation of a time-frequency channel quantization scheme is addressed, and a low-complexity scheme that also achieves the multiplexing gain is proposed.

Joint low-rate feedback and channel quantization for the MIMO broadcast channel

AFRICON 2007, 2007

For the downlink of a wireless cellular system where the base station (BS) uses multiple antennas in a beamforming configuration for a multiuser transmission (broadcasting), we investigate two techniques for quantizing the channel state information at the mobile terminal and feeding it back to the BS. In both cases quantization of channel vectors and feedback signaling are jointly designed in order to obtain a low-rate feedback (FB). In particular, we first consider a tree structure vector quantizer (VQ) of the channel vector with a novel metric, as an alternative to the classical mean square error. It is seen that the tree search allows to lower the FB signaling rate also in a time-varying environment. As an alternative, a predictive VQ is proposed. These two and other FB strategies were extensively compared in a typical cellular environment for different mobile speeds and FB rates.

Multi-antenna broadcast channels with limited feedback and user selection

2007

We analyze the sum-rate performance of a multi-antenna downlink system carrying more users than transmit antennas, with partial channel knowledge at the transmitter due to finite rate feedback. In order to exploit multiuser diversity, we show that the transmitter must have, in addition to directional information, information regarding the quality of each channel. Such information should reflect both the channel magnitude and the quantization error. Expressions for the SINR distribution and the sum-rate are derived, and tradeoffs between the number of feedback bits, the number of users, and the SNR are observed. In particular, for a target performance, having more users reduces feedback load.

Finite-Rate Feedback MIMO Broadcast Channels with a Large Number of Users

2006 IEEE International Symposium on Information Theory, 2006

We analyze the sum-rate performance of a multiantenna downlink system carrying more users than transmit antennas, with partial channel knowledge at the transmitter due to finite rate feedback. In order to exploit multiuser diversity, we show that the transmitter must have, in addition to directional information, information regarding the quality of each channel. Such information should reflect both the channel magnitude and the quantization error. Expressions for the SINR distribution and the sum-rate are derived, and tradeoffs between the number of feedback bits, the number of users, and the SNR are observed. In particular, for a target performance, having more users reduces feedback load.

Efficient Quantization for Feedback in MIMO Broadcasting Systems

2006 Fortieth Asilomar Conference on Signals, Systems and Computers, 2006

We consider the problem of joint multiplexer-scheduler design for transmitting independent data streams over a Gaussian multiple-antenna broadcast channel in which feedback is used to convey channel state information from receivers to the transmitter. It is known that various low complexity strategies can achieve the optimal rate scaling as a function of receiver population size. In this work we develop a simple and efficient quantization strategy for use on the feedback link of such architectures.

Channel Quantization and Feedback Optimization in Multiuser MIMO-OFDM Downlink Systems

IEEE GLOBECOM 2008 - 2008 IEEE Global Telecommunications Conference, 2008

We consider a multiuser MIMO-OFDM downlink system with single antenna mobile terminals (MTs) where channel state information at the base station is provided through limited uplink feedback (FB). In order to reduce the FB rate and signal processing complexity, the available bandwidth is divided into resource blocks (RBs) whose number of subcarriers reflects the coherence bandwidth of the channel. This approach is very common in the standardization of 4th generation wireless communication systems and justifies an independent channel quantization per RB. The paper has two main contributions: firstly we show conditions on the coherence bandwidth of the channel and the FB rate per RB that allow for a simpler characterization of the RB channel matrix by a space vector, causing negligible performance loss. This is accomplished after deriving a new performance metric for RB channel quantization that exploits spatial and frequency correlation. As a second contribution we investigate the trade-off between accurate channel knowledge and frequency/multiuser diversity. It is seen that even for a moderate number of MTs in the network, concentrating all the available FB bits in characterizing only one RB provides a significant gain in system throughput over a more classical distributed approach and this result is validated both analytically and by simulations.