Rank-Independent Codebook Design from a Quaternary Alphabet

Mondal, Bishwarup; Thomas, Timothy A.; Harrison, Malcolm C.

doi:10.1109/acssc.2007.4487217

Cited by 32 publications

(13 citation statements)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Expansions of codebooks using Householder reflections have been used to generate a unitary matrix from a beamforming vector, to enable multimode precoding and certain kinds of multiuser MIMO feedback. Code designs based on mutually unbiased bases or Kerdock codes have been proposed to provide small alphabet near-Grassmannian codebooks that also facilitate multimode precoding (see the following multimode discussion) and rank adaptation [126], [219]. Other designs are discussed in [66], [93], [178], [223].…”

Section: C) Linear Precoding For Spatial Multiplexingmentioning

confidence: 99%

An overview of limited feedback in wireless communication systems

Love

Heath

Lau

et al. 2008

IEEE J. Select. Areas Commun.

1,343

918

View full text Add to dashboard Cite

Abstract-It is now well known that employing channel adaptive signaling in wireless communication systems can yield large improvements in almost any performance metric. Unfortunately, many kinds of channel adaptive techniques have been deemed impractical in the past because of the problem of obtaining channel knowledge at the transmitter. The transmitter in many systems (such as those using frequency division duplexing) can not leverage techniques such as training to obtain channel state information. Over the last few years, research has repeatedly shown that allowing the receiver to send a small number of information bits about the channel conditions to the transmitter can allow near optimal channel adaptation. These practical systems, which are commonly referred to as limited or finite-rate feedback systems, supply benefits nearly identical to unrealizable perfect transmitter channel knowledge systems when they are judiciously designed. In this tutorial, we provide a broad look at the field of limited feedback wireless communications. We review work in systems using various combinations of single antenna, multiple antenna, narrowband, broadband, single-user, and multiuser technology. We also provide a synopsis of the role of limited feedback in the standardization of next generation wireless systems.

show abstract

Section: C) Linear Precoding For Spatial Multiplexingmentioning

confidence: 99%

An overview of limited feedback in wireless communication systems

Love

Heath

Lau

et al. 2008

IEEE J. Select. Areas Commun.

1,343

918

View full text Add to dashboard Cite

show abstract

“…However, as shown in Appendix II, by (i) modelling the region that can be spanned by a step of size from by a spherical cap; (ii) partitioning that cap according to the spherical cap approximation of the Voronoi cell of each element of the underlying Grassmannian codebook; and (iii) analyzing the relative volumes of those caps, we can obtain a recursive approximation for . Using that approximation we obtain the following recursive approximation for for which ensures that (19) where is a correction factor due to the Voronoi region approximation and is dependent on the number of feedback bits assigned to the codebook.…”

Section: Model-based Incremental Feedback Schemementioning

confidence: 99%

“…As the number of channel uses increases, the quantization error decreases and the step size converges to a steady state value (i.e., a fixed point) dependent on . Using (19), that fixed point, which we denote by , can be found to be (20) An important feature of the proposed incremental feedback scheme is its intrinsic ability to recover, autonomously, from feedback errors. This feature is illustrated in Fig.…”

Section: Model-based Incremental Feedback Schemementioning

confidence: 99%

“…In the first case (denoted 'Robust scheme-adp'), the step size quantization is , where is the step size chosen for the model-based method with ; cf. (19). In the second case (denoted 'Robust scheme-fix'), the step size quantization is constant in time and is chosen to be , where is the average of the fixed points of the model based scheme (cf.…”

Section: Simulationsmentioning

confidence: 99%

See 1 more Smart Citation

Incremental Grassmannian Feedback Schemes for Multi-User MIMO Systems

Medra

Davidson

2015

IEEE Trans. Signal Process.

View full text Add to dashboard Cite

The communication of side information forms a key component of several effective strategies for transmitter adaptation to slowly fading channels. When the relevant side information is a subspace, the feedback scheme can be viewed as a lossy source compression scheme on the Grassmannian manifold. Memoryless vector quantization on each fading block is a viable compression scheme, but it neglects any temporal correlation between the blocks. In this paper, we propose an incremental approach to Grassmannian quantization that takes advantage of temporal correlation. The approach leverages existing codebooks for memoryless quantization schemes and employs a quantized form of geodesic interpolation. Two schemes that implement the principles of the proposed approach are presented. In the first scheme, the choice of the step size in the incremental update is adapted to a first-order GaussMarkov model for the channel, which enables the use of higher resolution codebooks. In the second scheme, a single bit is allocated to the step size, which enables adaptation of the step size to the channel realization rather than the channel statistics. This provides substantial robustness against mismatches in the model for the temporal correlation. A distinguishing feature of the proposed approach is that the direction of the geodesic interpolation is specified implicitly using a point in a conventional codebook. As a result, the approach has an inherent ability to recover autonomously from errors in the feedback path. Simulation results demonstrate that these features result in improved performance over some existing schemes in a variety of channel environments.

show abstract

“…Among closed-loop transmit diversity schemes, multipleinput multiple-output (MIMO) beamforming systems with limited feedback have been considered to reduce the feedback information rate [1]- [15]. The codebooks adopted for recent standards demonstrate trends towards systematic finite alphabet codebooks [11, p. 63], [12, p. 457].…”

Section: Introductionmentioning

confidence: 99%

4-Ary Codebook Design Using Reed–Muller Codes for MIMO Beamforming Systems

Kim

Vinck

2016

IEEE Trans. Veh. Technol.

View full text Add to dashboard Cite

We design 4-ary codebooks using Reed Muller codes for multiple-input multiple-output (MIMO) beamforming systems. An upperbound on the maximum correlation magnitude metric of a 4-ary codebook is derived from the minimum Hamming distance of the corresponding binary linear block code. The 4-ary MIMO beamforming codebooks for the number of transmit antennas equal to 4, 8, 16, and 32 are tabulated. We show that the 4-ary codebook using Reed Muller codes provides the same symbol error probability (SEP) as the LTE codebook when the number of transmit antennas is four and the number of feedback bits is four. Index Terms-Grassmannian codebook, multiple-input multiple-output (MIMO) beamforming, Reed Muller code.0018-9545 (c)

show abstract

Rank-Independent Codebook Design from a Quaternary Alphabet

Cited by 32 publications

References 9 publications

An overview of limited feedback in wireless communication systems

An overview of limited feedback in wireless communication systems

Incremental Grassmannian Feedback Schemes for Multi-User MIMO Systems

4-Ary Codebook Design Using Reed–Muller Codes for MIMO Beamforming Systems

Contact Info

Product

Resources

About