## What Is the Value of Limited Feedback for MIMO Channels? (2004)

Citations: | 105 - 22 self |

### BibTeX

@MISC{Love04whatis,

author = {David Love and Wiroonsak Santipach and Michael L. Honig},

title = {What Is the Value of Limited Feedback for MIMO Channels?},

year = {2004}

}

### Years of Citing Articles

### OpenURL

### Abstract

Feedbackinacommunicationssystemcan enablethetransmittertoexploitchannelcondi - tionsandavoidinterference.Inthecaseofa multiple-inputmultiple-outputchannel,feedback canbeusedtospecifyaprecodingmatrixatthe transmitter,whichactivatesthestrongestchan - nelmodes.Insituationswherethefeedbackis severelylimited,importantissuesarehowto quantizetheinformationneededatthetransmitterandhowmuchimprovementinassociated performancecanbeobtainedasafunctionof theamountoffeedbackavailable.Wegivean overviewofsomerecentworkinthisarea.Meth - odsarepresentedforconstructingasetofpossibleprecodingmatrices, fromwhichaparticular choicecanberelayedtothetransmitter.Perfor - manceresultsshowthatevenafewbitsoffeedbackcanprovideperformanceclosetothatwith fullchannelknowledgeatthetransmitter.

### Citations

1838 | Capacity of multi-antenna Gaussian channels
- Telatar
- 1999
(Show Context)
Citation Context ...sign and performance of precoding methods under different assumptions about what information is available at the transmitter. For example, these assumptions include perfect channel knowledge (see [1],=-=[2]-=- and the references therein), incomplete or estimated knowledge of subspaces associated with the channel [3], [4], and statistical channel knowledge (e.g. [5]–[7]). Given a low-rate feedback channel w... |

222 | Capacity limits of MIMO channels
- Goldsmith, Jafar, et al.
- 2003
(Show Context)
Citation Context ...de perfect channel knowledge (see [1],[2] and the references therein), incomplete or estimated knowledge of subspaces associated with the channel [3], [4], and statistical channel knowledge (e.g. [5]–=-=[7]-=-). Given a low-rate feedback channel with frequencydivision duplexing, full, or accurate but incomplete, channel knowledge may be difficult to obtain at the transmitter. Statistical feedback of spatia... |

203 | Grassmannian beamforming for multiple-input multiple-output wireless systems
- Love, Heath, et al.
- 2003
(Show Context)
Citation Context ...ned such that N = 2 B for an integer B. The chosen matrix can then be conveyed from the receiver to transmitter using B bits of feedback. This model has been proposed for limited feedback beamforming =-=[11]-=-,[12], precoded orthogonal space-time block codes [1],[13], precoded spatial multiplexing [14],[15], and transmit covariance optimization [16], [17]. System performance is closely coupled to the preco... |

185 | On beamforming with finite rate feedback in multiple-antenna systems
- Mukkavilli, Sabharwal, et al.
- 2003
(Show Context)
Citation Context ...uch that N = 2 B for an integer B. The chosen matrix can then be conveyed from the receiver to transmitter using B bits of feedback. This model has been proposed for limited feedback beamforming [11],=-=[12]-=-, precoded orthogonal space-time block codes [1],[13], precoded spatial multiplexing [14],[15], and transmit covariance optimization [16], [17]. System performance is closely coupled to the precoder s... |

174 | On the capacity of MIMO broadcast channels with partial side information
- Sharif, Hassibi
- 2005
(Show Context)
Citation Context ...th fixed ratio (or in the MISO case Mt goes to infinity), while also fixing B/MtM, the number of feedback bits per dimension. A random beamforming scheme is also analyzed for the cellular downlink in =-=[18]-=-. 3.4 Scalar Quantization Schemes A drawback of VQ schemes is complexity. Namely, in general the receiver must select a precoding matrix from among the 2 B possibilities via an exhaustive search. This... |

145 | Space-time transmit precoding with imperfect feedback
- Visotsky, Madhow
- 2001
(Show Context)
Citation Context ...nclude perfect channel knowledge (see [1],[2] and the references therein), incomplete or estimated knowledge of subspaces associated with the channel [3], [4], and statistical channel knowledge (e.g. =-=[5]-=-–[7]). Given a low-rate feedback channel with frequencydivision duplexing, full, or accurate but incomplete, channel knowledge may be difficult to obtain at the transmitter. Statistical feedback of sp... |

139 |
Space-Time Block Coding for Wireless Communications
- Larsson, PetreStoica
- 2003
(Show Context)
Citation Context ...ding (i.e. the entries of H are independent and identically distributed (i.i.d.) complex normal random variables), correlated Rayleigh fading, uncorrelated Rician fading, and correlated Rician fading =-=[1]-=-. Most work on closed-loop MIMO channels has concentrated on linearly precoded space2stime block codes [1]. Single-user linearly precoded space-time block codes are described by the input/output relat... |

111 | Optimal transmitter eigen-beamforming and spacetime block coding based on channel mean feedback - Zhou, Giannakis |

96 |
Combining beamforming and orthogonal space-time block coding
- Jongren, Skoglund, et al.
- 2002
(Show Context)
Citation Context ...space-time signaling techniques. In particular, channel quantization has been employed for multiple-input single-output (MISO) beamforming [8], [9] and MIMO precoded orthogonal space-time block codes =-=[10]-=-. 5s3.3 Quantized Signal Adaptation The work in [8] motivated a new approach to limited feedback MIMO communications. While the algorithm in [8] was still, in some sense, quantizing a MISO vector chan... |

55 | On the design of MIMO block-fading channels with feedback-link capacity constraint
- Lau, Liu, et al.
- 2004
(Show Context)
Citation Context ... has been proposed for limited feedback beamforming [11],[12], precoded orthogonal space-time block codes [1],[13], precoded spatial multiplexing [14],[15], and transmit covariance optimization [16], =-=[17]-=-. System performance is closely coupled to the precoder selection function f and the precoder codebook F. Selection functions have been proposed to minimize some bound on the probability of error [1],... |

33 | Limited feedback unitary precoding for orthogonal space-time block codes
- Love, Heath
- 2005
(Show Context)
Citation Context ...can then be conveyed from the receiver to transmitter using B bits of feedback. This model has been proposed for limited feedback beamforming [11],[12], precoded orthogonal space-time block codes [1],=-=[13]-=-, precoded spatial multiplexing [14],[15], and transmit covariance optimization [16], [17]. System performance is closely coupled to the precoder selection function f and the precoder codebook F. Sele... |

31 |
Transmit diversity in 3G CDMA systems
- Derryberry, Gray, et al.
- 2002
(Show Context)
Citation Context ... transmitter more flexibility to choose among different space-time signaling techniques. In particular, channel quantization has been employed for multiple-input single-output (MISO) beamforming [8], =-=[9]-=- and MIMO precoded orthogonal space-time block codes [10]. 5s3.3 Quantized Signal Adaptation The work in [8] motivated a new approach to limited feedback MIMO communications. While the algorithm in [8... |

26 |
Asymptotic performance of MIMO wireless channels with limited feedback
- Santipach, Honig
- 2003
(Show Context)
Citation Context ... transmitter using B bits of feedback. This model has been proposed for limited feedback beamforming [11],[12], precoded orthogonal space-time block codes [1],[13], precoded spatial multiplexing [14],=-=[15]-=-, and transmit covariance optimization [16], [17]. System performance is closely coupled to the precoder selection function f and the precoder codebook F. Selection functions have been proposed to min... |

25 | Multiple Antenna Channels with Partial Channel State Information at the Transmitter
- Roh, Rao
- 2004
(Show Context)
Citation Context ... the transmitter. For example, these assumptions include perfect channel knowledge (see [1],[2] and the references therein), incomplete or estimated knowledge of subspaces associated with the channel =-=[3]-=-, [4], and statistical channel knowledge (e.g. [5]–[7]). Given a low-rate feedback channel with frequencydivision duplexing, full, or accurate but incomplete, channel knowledge may be difficult to obt... |

25 | Approaching eigenmode BLAST channel capacity using V-BLAST with rate and power feedback - Chung, Lozano, et al. - 2001 |

24 |
Signature sequence adaptation for DS-CDMA with multipath
- Rajappan, Honig
- 2002
(Show Context)
Citation Context ...bspace with dimension D < Mt. In that way the feedback bits are distributed over a smaller number of coefficients, which can be represented more accurately. This reduced-rank approach was proposed in =-=[19]-=- for signature optimization in a Code-Division Multiple Access (CDMA) system. In that case, the signature (vector) for a particular user is constrained to lie in a lower dimensional subspace. To illus... |

23 |
MIMO with limited feedback of channel state information
- Blum
- 2003
(Show Context)
Citation Context ... model has been proposed for limited feedback beamforming [11],[12], precoded orthogonal space-time block codes [1],[13], precoded spatial multiplexing [14],[15], and transmit covariance optimization =-=[16]-=-, [17]. System performance is closely coupled to the precoder selection function f and the precoder codebook F. Selection functions have been proposed to minimize some bound on the probability of erro... |

17 |
Efficient use of side information in multiple antenna data transmission over fading channels
- Narula, Lopez, et al.
- 1998
(Show Context)
Citation Context ... in the compression literature is that in the former case, the cost function can exploit any channel invariance, which may be present in the communication system. For example, Narula et al noticed in =-=[8]-=- that closed-loop beamforming is invariant to the channel being multiplied by e jθ for any θ. This invariance was used to derive a phase-invariant MSE distortion function that reduces the number of fe... |

13 | Feedback assisted transmission subspace tracking for MIMO systems
- Banister, Zeidler
- 2003
(Show Context)
Citation Context ...transmitter. For example, these assumptions include perfect channel knowledge (see [1],[2] and the references therein), incomplete or estimated knowledge of subspaces associated with the channel [3], =-=[4]-=-, and statistical channel knowledge (e.g. [5]–[7]). Given a low-rate feedback channel with frequencydivision duplexing, full, or accurate but incomplete, channel knowledge may be difficult to obtain a... |

6 | et al., “Capacity limits of MIMO channels - Goldsmith - 2003 |

5 | Grassmannian Precoding for Spatial Multiplexing Systems
- Love, Heath
- 2003
(Show Context)
Citation Context ...er to transmitter using B bits of feedback. This model has been proposed for limited feedback beamforming [11],[12], precoded orthogonal space-time block codes [1],[13], precoded spatial multiplexing =-=[14]-=-,[15], and transmit covariance optimization [16], [17]. System performance is closely coupled to the precoder selection function f and the precoder codebook F. Selection functions have been proposed t... |

4 | Derryberry et al., “Transmit Diversity in 3G - T - 2002 |

3 | Time Block Coding for Wireless Communications - Larsson, Stoica, et al. - 2003 |

1 | Narula et al., “Efficient use of Side Information in Multiple-Antenna Data Transmission over Fading Channels - unknown authors - 1998 |

1 | Mukkavilli et al., “On Beamforming with Finite Rate Feedback in Multiple-Antenna Systems - K - 2003 |

1 | degrees from the University of Virginia, Charlottesville, in 1996 and 1997, respectively, and a Ph.D. from Stanford University, California, in 2002, all in electrical engineering. From 1998 to 1999 he was a senior member of technical staff at Iospan Wirel - received, S |

1 | S’00] (sak@ece.northwestern.edu) received B.S. (summa cum laude) and M.S. degrees in electrical engineering from Northwestern University in 2000 and 2001, respectively. He is currently pursuing his Ph.D. degree in electrical engineering at Northwestern Un - SANTIPACH |

1 | S’80-M’81-SM’92-F’97] (mh@ece.northwestern.edu) received a B.S. degree in electrical engineering from Stanford University - HONIG |