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## MISO Broadcast Channels with Delayed Finite-Rate Feedback: Predict or Observe?

Citations: | 10 - 2 self |

### Citations

589 |
On the achievable throughput of a multiantenna gaussian broadcast channel
- Caire, Shamai
- 2003
(Show Context)
Citation Context ...ex Terms—MIMO, channel state information, quantization. I. INTRODUCTION INTERFERENCE is a key bottleneck in wireless networksand sophisticated interference reduction techniques such as multiuser MIMO =-=[1]-=-, [2], interference alignment (IA) [3] and network MIMO [4] are of great interest to researchers and industry. While these techniques theoretically offer substantial multiplexing gains, meaning they s... |

349 | On the capacity of MIMO broadcast channels with partial side information
- Sharif, Hassibi
- 2005
(Show Context)
Citation Context ...ly affect the SNR and we are interested in the multiplexing gain. Furthermore, when K M , the opportunistic beamforming will achieve nearly optimal degrees of freedom M with small feedback overhead =-=[27]-=-, but K needs to grow with SNR which is not assumed in this paper. 3Note that since each receiver is assumed to have instantaneous and perfect knowledge of its own channel vector, the cost of channel ... |

339 | The capacity region of the Gaussian multiple-input multiple-output broadcast channel
- Weingarten, Steinberg, et al.
- 2006
(Show Context)
Citation Context ..., yB[3] = h ∗ B1[3] ( L̂B(uA, vA)[1] + L̂A(uB, vB)=-=[2]-=- ) . The transmission scheme is summarized in Fig. 2. Putting all these received equations together in matrix form, for receiver A we have⎡⎣yA[1]yA[2] yA[3] ⎤⎦ = ⎡⎣ h∗A1[1] h∗A2[1]0 0 h∗A1[3]ê B1[1] h ∗ A1[3]ê B2[1] ⎤⎦[uA vA ] + ⎡⎣ 0 0h∗A1[2] h∗A2[2] h∗A1[3]ê ∗ A1[2] h ∗ A1[3]ê ∗ A2[2] ⎤⎦[uB vB ] , rewritten in a simpler form as yA = ⎡⎣ yA[... |

339 | achievable rates, and sum-rate capacity of Gaussian MIMO broadcast channels
- Vishwanath, Jindal, et al.
- 2003
(Show Context)
Citation Context ...edu). S. A. Jafar is with the University of California, Irvine (e-mail: syed@uci.edu). Digital Object Identifier 10.1109/TWC.2012.021412.110931 can be achieved by either dirty paper coding (DPC) [2], =-=[5]-=-, [6] or even by suboptimal linear precoders including zeroforcing (ZF) [7]. Without any CSIT, however, the multiplexing gain collapses to 1 for i.i.d. channels [1] or the more general isotropic chann... |

322 | Sum capacity of the vector Gaussian broadcast channel and uplink-downlink duality,”
- Viswanath, Tse
- 2003
(Show Context)
Citation Context ... S. A. Jafar is with the University of California, Irvine (e-mail: syed@uci.edu). Digital Object Identifier 10.1109/TWC.2012.021412.110931 can be achieved by either dirty paper coding (DPC) [2], [5], =-=[6]-=- or even by suboptimal linear precoders including zeroforcing (ZF) [7]. Without any CSIT, however, the multiplexing gain collapses to 1 for i.i.d. channels [1] or the more general isotropic channel [8... |

272 | On beamforming with finite rate feedback in multiple antenna systems
- Mukkavilli, Sabharwal, et al.
- 2003
(Show Context)
Citation Context ...result in [20] implicitly assumes the feedback is free. B. Optimal Vector Quantization We now briefly review some basic results on optimal vector quantization in the MISO broadcast channel from [10], =-=[28]-=-– [30]. Let ê denote the quantization of the channel vector h and θ denote the angle between h and ê. For the optimal vector codebook, the lower and upper bound to the expected value of the logarith... |

220 |
asymptotische Verteilungsgesetz der Eigenwerte lineare partieller Differentialgleichungen
- Weyl, Das
(Show Context)
Citation Context ...trix with zero quantization error by Ī∗/A, and define E = Ī∗/A−I∗/A. Let Ei denote rows of E for i = 1, . . . , T − DK . From the perturbation bounds for the singular values of a matrix due to Weyl =-=[31]-=-, we have |σi − σ̄i| ≤ ‖E‖F , for i = T −D + 1, . . . , T − D K , where σ̄i is the singular value of Ī∗/A. Since Ī∗/A is of rank T −D, σ̄i = 0 for i = T −D + 1, . . . , T −D/K . Moreover, the angle ... |

189 | MIMO broadcast channels with finite-rate feedback
- Jindal
- 2006
(Show Context)
Citation Context ...nd also implemented in 4G cellular systems [15], [16]. One theoretical observation is that the feedback rate must scale linearly with log2 SNR to maintain the full multiplexing gain with partial CSIT =-=[10]-=-. However, even with this feedback rate, the feedback delay will cause serious degradation when the feedback delay approaches (or exceeds) the channel coherence time, causing multiuser precoding techn... |

129 |
Completely stale transmitter channel state information is still very useful,” in Information Theory
- Maddah-Ali, Tse
(Show Context)
Citation Context ...chniques (also called SDMA) have been largely disappointing in the field and it is widely agreed they are only of use at very low mobility (pedestrian speeds at most) [18], [19]. A clever recent work =-=[20]-=- gets around this apparently fundamental delay limitation by instead exploiting previous channel observations to increase the multiplexing gain through a novel feedback, transmission, and receiver can... |

119 | Multi-antenna downlink channels with limited feedback and user selection,” - Yoo, Jindal, et al. - 2007 |

108 |
On the performance of random vector quantization limited feedback beamforming in a MISO system,” Wireless Communications,
- Au-Yeung, Love
- 2007
(Show Context)
Citation Context ... in [20] implicitly assumes the feedback is free. B. Optimal Vector Quantization We now briefly review some basic results on optimal vector quantization in the MISO broadcast channel from [10], [28]– =-=[30]-=-. Let ê denote the quantization of the channel vector h and θ denote the angle between h and ê. For the optimal vector codebook, the lower and upper bound to the expected value of the logarithm of t... |

67 | Quantifying the power loss when transmit beamforming relies on finite-rate feedback,” - Zhou, Wang, et al. - 2005 |

66 | Isotropic fading vector broadcast channels: The scalar upper bound and loss in degrees of freedom,”
- Jafar, Goldsmith
- 2005
(Show Context)
Citation Context ...6] or even by suboptimal linear precoders including zeroforcing (ZF) [7]. Without any CSIT, however, the multiplexing gain collapses to 1 for i.i.d. channels [1] or the more general isotropic channel =-=[8]-=-. Real systems necessarily have imperfect CSI, particularly at the transmitter. Because the channel state must be estimated (usually from noisy training symbols), then quantized to a finite-rate value... |

64 | Multiple antenna broadcast channels with shape feedback and limited feedback,” - Ding, Love, et al. - 2007 |

57 | On the capacity of fading MIMO broadcast channels with imperfect transmitter side-information.
- Lapidoth, Shamai, et al.
- 2005
(Show Context)
Citation Context ...rrent channel state. A. Background and Motivation Imperfect CSIT is an interesting topic in both academia and industry. Simple multiuser MIMO techniques such as ZF precoding with limited CSI feedback =-=[9]-=-–[14] have been studied extensively and also implemented in 4G cellular systems [15], [16]. One theoretical observation is that the feedback rate must scale linearly with log2 SNR to maintain the full... |

50 | From the Littlewood-Offord problem to the circular law: universality of the spectral distribution of random matrices
- Tao, Vu
(Show Context)
Citation Context ...f the other rows of I∗/A is no less than θ is greater than 1 − . Therefore, dist(Ii,Si) ≥ sin θ with probability approaching to 1 when Q → ∞. Furthermore, from the negative second moment identity in =-=[32]-=- we have T−DK∑ i=1 σ−2i = T−DK∑ i=1 dist(Ii,Si)−2. Then it follows that σ−2 T−DK ≤ T−DK∑ i=1 σ−2i = T−DK∑ i=1 dist(Ii,Si)−2 ≤ T−DK∑ i=1 1 sin2 θ = T − DK sin2 θ . Therefore, with probability approachi... |

42 | High SNR analysis for MIMO broadcast channels: Dirty paper coding versus linear precoding,”
- Lee, Jindal
- 2007
(Show Context)
Citation Context ...d@uci.edu). Digital Object Identifier 10.1109/TWC.2012.021412.110931 can be achieved by either dirty paper coding (DPC) [2], [5], [6] or even by suboptimal linear precoders including zeroforcing (ZF) =-=[7]-=-. Without any CSIT, however, the multiplexing gain collapses to 1 for i.i.d. channels [1] or the more general isotropic channel [8]. Real systems necessarily have imperfect CSI, particularly at the tr... |

39 | Interference Alignment - Jafar, ”Blind - 2012 |

35 | Limited feedback-based block diagonalization for the MIMO broadcast channel
- Ravindran, Jindal
- 2008
(Show Context)
Citation Context ...t channel state. A. Background and Motivation Imperfect CSIT is an interesting topic in both academia and industry. Simple multiuser MIMO techniques such as ZF precoding with limited CSI feedback [9]–=-=[14]-=- have been studied extensively and also implemented in 4G cellular systems [15], [16]. One theoretical observation is that the feedback rate must scale linearly with log2 SNR to maintain the full mult... |

34 | Space Division Multiple Access with a Sum Feedback Rate Constraint,” - Huang, Heath, et al. - 2007 |

31 |
Degrees of freedom region for the two-user MIMO broadcast channel with delayed CSIT,” in
- Vaze, Varanasi
- 2011
(Show Context)
Citation Context ...namic channel conditions, the MAT scheme with appropriate scheduling was shown in [23] to outperform conventional zero forcing precoding even taking CSI estimation and feedback error into account. In =-=[24]-=-, the DoF region for the twouser MIMO BC with delayed CSIT is derived using the idea of retrospective interference alignment, and extended to the MIMO interference channel with delayed CSIT and output... |

25 | Multimode transmission for the MIMO broadcast channel with imperfect channel state information
- Zhang, Kountouris, et al.
- 2011
(Show Context)
Citation Context ...approaches (or exceeds) the channel coherence time, causing multiuser precoding techniques to achieve a lower rate than single user ones due to multiplexing gain loss, regardless of the feedback rate =-=[17]-=-. Primarily because of this sensitivity, multiuser MIMO techniques (also called SDMA) have been largely disappointing in the field and it is widely agreed they are only of use at very low mobility (pe... |

7 | Multi-user MIMO with outdated CSI: Training, feedback and scheduling
- Adhikary, Papadopoulos, et al.
- 2011
(Show Context)
Citation Context ...achieve a useful tradeoff between interference alignment and signal enhancement at finite SNR with delayed CSIT. In dynamic channel conditions, the MAT scheme with appropriate scheduling was shown in =-=[23]-=- to outperform conventional zero forcing precoding even taking CSI estimation and feedback error into account. In [24], the DoF region for the twouser MIMO BC with delayed CSIT is derived using the id... |

7 | Interference channel with binary fading: Effect of delayed network state information
- Vahid, Maddah-ali, et al.
- 2011
(Show Context)
Citation Context ...layed CSIT and output feedback in [25] through a new scheme called retrocooperative interference alignment. Finally, a novel achievability strategy utilizing outdated state information is proposed in =-=[26]-=- for the binary interference channel with finite states. None of these works however account for finite-rate feedback. B. Summary of Main Result The main technical contribution of the present paper is... |

4 |
Inteference alignment and degrees of freedom of the K-user inteference channel
- Cadambe, Jafar
- 2008
(Show Context)
Citation Context ...on, quantization. I. INTRODUCTION INTERFERENCE is a key bottleneck in wireless networksand sophisticated interference reduction techniques such as multiuser MIMO [1], [2], interference alignment (IA) =-=[3]-=- and network MIMO [4] are of great interest to researchers and industry. While these techniques theoretically offer substantial multiplexing gains, meaning they support more effectively interference-f... |

4 |
Muti-cell MIMO cooperative networks: A new look at inteference
- Gesbert, Hanly, et al.
- 2010
(Show Context)
Citation Context ...INTRODUCTION INTERFERENCE is a key bottleneck in wireless networksand sophisticated interference reduction techniques such as multiuser MIMO [1], [2], interference alignment (IA) [3] and network MIMO =-=[4]-=- are of great interest to researchers and industry. While these techniques theoretically offer substantial multiplexing gains, meaning they support more effectively interference-free streams, they typ... |

4 |
System peformance in uplink multi-user
- Ratasuk, Ghosh
- 2011
(Show Context)
Citation Context ...sitivity, multiuser MIMO techniques (also called SDMA) have been largely disappointing in the field and it is widely agreed they are only of use at very low mobility (pedestrian speeds at most) [18], =-=[19]-=-. A clever recent work [20] gets around this apparently fundamental delay limitation by instead exploiting previous channel observations to increase the multiplexing gain through a novel feedback, tra... |

3 |
Precoding on the broadcast MIMO channel with delayed CSIT: The finite SNR case
- Yi, Gesbert
- 2011
(Show Context)
Citation Context ...ounting for the unavoidable feedback channel overhead. During the revision of this manuscript, a few other works also inspired by the MAT scheme have investigated delayed CSIT in various settings. In =-=[22]-=-, the authors generalized the idea of the MAT scheme and proposed a new precoder to achieve a useful tradeoff between interference alignment and signal enhancement at finite SNR with delayed CSIT. In ... |

1 |
MU-MIMO system performance analysis
- Mondal, Thomas, et al.
(Show Context)
Citation Context ...is sensitivity, multiuser MIMO techniques (also called SDMA) have been largely disappointing in the field and it is widely agreed they are only of use at very low mobility (pedestrian speeds at most) =-=[18]-=-, [19]. A clever recent work [20] gets around this apparently fundamental delay limitation by instead exploiting previous channel observations to increase the multiplexing gain through a novel feedbac... |