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## Achievable Rates of Full-Duplex MIMO Radios in Fast Fading Channels With Imperfect Channel Estimation

Citations: | 1 - 0 self |

### Citations

2922 | Capacity of multi-antenna gaussian channels - Telatar - 1999 |

508 | How much training is needed in multiple-antenna wireless links?,” Information Theory
- Hassibi, Hochwald
(Show Context)
Citation Context ... generally non-Gaussian. To the best of our knowledge, the exact mutual information of MIMO channels with channel estimation errors is still an open problem even for point-to-point MIMO systems [39], =-=[42]-=-. However, assuming as Gaussian, which is the worst noise distribution from the perspective of mutual information, we can obtain the lower bound [42], which was also used in [26], [27]. For a given ti... |

361 | Linear multiuser receivers: Effective interference, effective bandwidth and user capacity,”
- Tse, Hanly
- 1999
(Show Context)
Citation Context ...rn simplifies the computation in solving the problem (10)–(12). This simplification is based on an asymptotical form of when as proposed in [36]. The proof of this asymptotical form is as follows: In =-=[48]-=-, SNR at the output of an MMSE receiver is shown. And using the results in [48], the authors in [49] obtain the asymptotic capacity of an optimum receiver for randomly 3880 IEEE TRANSACTIONS ON SIGNAL... |

180 |
On the capacity of MIMO relay channels
- Wang, Zhang, et al.
- 2005
(Show Context)
Citation Context ... in [35]. But we do not consider this scenario). For fixed , the lower bound of the averaged ergodic mutual information of the decode-and-forward FD relay system over two time slots can be written as =-=[51]-=- (29) where , ,2 is defined in (5). The only difference is that the covariance matrix of the total noise (4) in has the additional term because of the additional term in (28). A. Maximization of the E... |

158 |
Nonlinear programming, 2nd ed.
- Bertsekas
- 1999
(Show Context)
Citation Context ...d does not have a clear structure. We can develop numerical algorithms based on nonlinear programming techniques to obtain a locally optimal solution to the problem (10)–(12). We choose the GP method =-=[47]-=-, which is an extension of the unconstrained steepest descent method to the convex constrained problems. The GP 6Note that in (9), and , where . And it can be optimized using a grid search. Similar di... |

153 |
The effect of frequency-flat fading on the spectral efficiency of CDMA,”
- Shamai, Verdu
- 2001
(Show Context)
Citation Context ...symptotical form of when as proposed in [36]. The proof of this asymptotical form is as follows: In [48], SNR at the output of an MMSE receiver is shown. And using the results in [48], the authors in =-=[49]-=- obtain the asymptotic capacity of an optimum receiver for randomly 3880 IEEE TRANSACTIONS ON SIGNAL PROCESSING, VOL. 62, NO. 15, AUGUST 1, 2014 Fig. 1. The signal flow diagram of a bi-directional ful... |

134 | Achieving single channel, full duplex wireless communication.
- Choi, Jain, et al.
- 2010
(Show Context)
Citation Context ... kHz) full-duplex radio testbed was reported. This research effort stayed almost dormant until the work [8] published ten years later. It was then followed by the hardwarebased research activities in =-=[9]-=-–[17] as well as the theoretical research activities in [18]–[35]. A fundamental enabler for full-duplex radios is known as the self-interference cancelation. When a full-duplex radio transmits, it ca... |

89 | real-time, full duplex wireless
- Jain, Choi, et al.
- 2011
(Show Context)
Citation Context ...tbed for analog cancelation was reported in [9] where two transmit antennas were used to create a null at a receive antenna. A demonstration of analog cancelation using an analog circuit was shown in =-=[10]-=-. Analog cancelation using real-time channel estimation was reported in [11]. Analog cancelation using a single antenna and multiple antennas capable of simultaneous reception and transmission was dem... |

71 |
Experiment-driven characterization of full-duplex wireless systems.
- Duarte, Dick, et al.
- 2011
(Show Context)
Citation Context ...were used to create a null at a receive antenna. A demonstration of analog cancelation using an analog circuit was shown in [10]. Analog cancelation using real-time channel estimation was reported in =-=[11]-=-. Analog cancelation using a single antenna and multiple antennas capable of simultaneous reception and transmission was demonstrated 1The receiver noise includes quantization noise and nonlinearity n... |

71 | Capacity of MIMO systems with semicorrelated flat fading,"
- Smith, Roy, et al.
- 2003
(Show Context)
Citation Context ...d as the ergodic mutual information of a point-to-point MIMO channel with transmit and receive antennas. A closed-form expression for the ergodic mutual information of such a system has been shown in =-=[44]-=-, where a determinant representation for the distribution of quadratic forms of a complex Gaussian matrix has been used. Using the results in [44], (7) can be equivalently expressed as5 (8) where and ... |

56 | Capacity of multiple-transmit multiplereceive antenna architectures,”
- Lozano, Tulino
- 2002
(Show Context)
Citation Context ...ormation of the full-duplex systems subject to power constraints at the nodes under transmitter impairments. We develop a GP method to solve these non-convex optimization problems. Moreover, based on =-=[36]-=-, we introduce a simpler asymptotic closed-form expression for the ergodic mutual information of these full-duplex systems, which is shown to be an accurate approximation even for systems with a small... |

54 | Full duplex radios
- Bharadia, Mcmilin, et al.
- 2013
(Show Context)
Citation Context ...in [12]–[16], respectively. The works shown in [9]–[13] assume that the interference channel is allpass. Broadband analog cancelation for frequency-selective interference channels was demonstrated in =-=[14]-=-–[17]. The amount of cancelation demonstrated on hardware varies and depends on many possible factors in the hardware systems. The theoretical works shown in [18]–[27] all exploit multiple antennas fo... |

49 |
Pushing the limits of full-duplex: Design and real-time implementation. arXiv preprint arXiv:1107.0607.
- Sahai, Patel, et al.
- 2011
(Show Context)
Citation Context ...) full-duplex radio testbed was reported. This research effort stayed almost dormant until the work [8] published ten years later. It was then followed by the hardwarebased research activities in [9]–=-=[17]-=- as well as the theoretical research activities in [18]–[35]. A fundamental enabler for full-duplex radios is known as the self-interference cancelation. When a full-duplex radio transmits, it causes ... |

38 |
Simultaneous transmission and reception for improved wireless network performance
- Bliss, Parker, et al.
- 2007
(Show Context)
Citation Context ... efficient [4]–[6]. Among the earliest works on full-duplex radio is [7] where a narrowband (200 kHz) full-duplex radio testbed was reported. This research effort stayed almost dormant until the work =-=[8]-=- published ten years later. It was then followed by the hardwarebased research activities in [9]–[17] as well as the theoretical research activities in [18]–[35]. A fundamental enabler for full-duplex... |

38 |
Mitigation of loopback self-interference in fullduplex MIMO relays,”
- Riihonen, Werner, et al.
- 2011
(Show Context)
Citation Context ...ach is that the self-interference can be cancelled at the front-end of the receiver by generating a cancellation signal based on the transmit signal in the baseband. For example, the authors in [20], =-=[22]-=- propose null-space projection and minimum mean-squared error (MMSE) filters for spatial self-interference suppression. In [23], an interference nulling algorithm is proposed through the optimization ... |

29 |
Division-free duplex for wireless applications
- Chen, Beach, et al.
- 1998
(Show Context)
Citation Context ...ctions. A full-duplex bi-directional system uses a single frequency at the same time for both directions and is twice as spectrally efficient [4]–[6]. Among the earliest works on full-duplex radio is =-=[7]-=- where a narrowband (200 kHz) full-duplex radio testbed was reported. This research effort stayed almost dormant until the work [8] published ten years later. It was then followed by the hardwarebased... |

27 |
Hybrid full-duplex/halfduplex relaying with transmit power adaptation,”
- Riihonen, Werner, et al.
- 2011
(Show Context)
Citation Context ...rt stayed almost dormant until the work [8] published ten years later. It was then followed by the hardwarebased research activities in [9]–[17] as well as the theoretical research activities in [18]–=-=[35]-=-. A fundamental enabler for full-duplex radios is known as the self-interference cancelation. When a full-duplex radio transmits, it causes self-interferencewhichmust be canceled satisfactorily. The c... |

22 |
Single antenna full duplex communications using a common carrier,” in
- Knox
- 2012
(Show Context)
Citation Context ...ibution requires IEEE permission. See http://www.ieee.org/publications_standards/publications/rights/index.html for more information. CIRIK et al.: ACHIEVABLE RATES OF FULL-DUPLEX MIMO RADIOS 3875 in =-=[12]-=-–[16], respectively. The works shown in [9]–[13] assume that the interference channel is allpass. Broadband analog cancelation for frequency-selective interference channels was demonstrated in [14]–[1... |

22 | Optimal power schedule for distributed MIMO links
- Rong, Hua
(Show Context)
Citation Context ...7], we partition the data transmission period under consideration or control into two time slots, since the benefit when the number of time slots is larger than the number of links is not significant =-=[37]-=-. The partition of the data transmission follows the concept of space-time power scheduling for multiple concurrent co-channel links shown in [37]. Particularly, the use of two distinct time slots giv... |

19 | Conference. An overview of beamforming and power allocation for MIMO relays
- Hua
- 2010
(Show Context)
Citation Context ...interference nulling algorithm is proposed through the optimization of the relay processing vectors over the continuous domain, which was shown to have better performance than the methods in [22]. In =-=[24]-=-, an overview of beamforming and power allocation for both full-duplex and half-duplexMIMO relays operating in decode-and-forward or amplify-and-forward mode are provided. In this paper, we assume tha... |

19 | Full-duplex bidirectional MIMO: Achievable rates under limited dynamic range
- Day, Margetts, et al.
- 2012
(Show Context)
Citation Context ... affected by the reflectors around the physical antenna. The number of virtual antennas may correspond to the number of front-ends. A two front-end relay case was studied in [35]. Similar to [26] and =-=[27]-=-, we partition the data transmission period under consideration or control into two time slots, since the benefit when the number of time slots is larger than the number of links is not significant [3... |

18 | Full-duplex MIMO relaying: Achievable rates under limited dynamic range
- Day, Margetts, et al.
- 2012
(Show Context)
Citation Context ...tally in the baseband. We focus on a theoretical performance of the full-duplex radios under the effect of the residual self-interference. The contributions shown in this paper are closely related to =-=[26]-=-, [27]. One of the differences between this paper and those two is that we consider fast fading channels and they considered slow fading channels. Fast fading channel results from such a fast varying ... |

18 |
Stegun,Handbook ofMathematical Functions,
- Abramowitz, I
- 1995
(Show Context)
Citation Context ...e equivalently expressed as5 (8) where and are defined in Appendix. Here and , denote the th element of matrix and , respectively. In (32) of Appendix, is the exponential integral function of order 1 =-=[45]-=-. As shown in (8), the ergodic sum mutual information is now expressed as a finite summation involving rational functions and exponential integration functions of the power scheduling 5Note that in th... |

16 | Picasso: flexible RF and spectrum slicing.
- Hong, Mehlman, et al.
- 2012
(Show Context)
Citation Context ....ieee.org/publications_standards/publications/rights/index.html for more information. CIRIK et al.: ACHIEVABLE RATES OF FULL-DUPLEX MIMO RADIOS 3875 in [12]–[16], respectively. The works shown in [9]–=-=[13]-=- assume that the interference channel is allpass. Broadband analog cancelation for frequency-selective interference channels was demonstrated in [14]–[17]. The amount of cancelation demonstrated on ha... |

15 | Self-interference suppression in full-duplex MIMO relays - Lioliou, Viberg, et al. |

14 |
Dynamic resource allocation in MIMOOFDMA systems with full-duplex and hybrid relaying,”
- Ng, Lo, et al.
- 2012
(Show Context)
Citation Context ...t and the entries of each matrix are i.i.d. circular complex Gaussian variables with zero mean and unit variance.4 We adopt the channel error model used for the FD systems in [4], [18]–[20], [22] and =-=[38]-=-, where the receiver is provided with some partial information of the channel, 3A full duplexWiFi radio that usesmultiple antennas that transmit and receive simultaneosuly was designed and implemented... |

14 |
Transmitter Noise Effect on the Performance of a MIMO-OFDM Hardware Implementation Achieving Improved Coverage,”
- Suzuki, Tran, et al.
- 2008
(Show Context)
Citation Context ...o encoding and decoding over many multiples of two time slots is tolerable. The quality of transmitted signals suffer from non-linear distortions in the power amplifier, phase noise, and IQ-imbalance =-=[40]-=-. The measurement results by [41] indicate that an i.i.d. additive Gaussian noise model accurately describes the sum of all such residual transmitter impairments. Such an assumption has also been comm... |

12 | On the feasibility of full-duplex relaying in the presence of loop interference,”in
- Riihonen, Werner, et al.
- 2009
(Show Context)
Citation Context ...ransmits and receives using two different channels (in time or frequency). A full-duplex relay can transmit and receive using a single frequency at the same time and is more spectrally efficient [2], =-=[3]-=-. Bi-directional communication is commonly required in virtually all modern communication systems, where two terminals exchange information with each other. Currently, all bi-directional systems are h... |

11 | Pre-nulling for self-interference suppression in full-duplex relays
- Chun, Jeongy, et al.
- 2009
(Show Context)
Citation Context ... effort stayed almost dormant until the work [8] published ten years later. It was then followed by the hardwarebased research activities in [9]–[17] as well as the theoretical research activities in =-=[18]-=-–[35]. A fundamental enabler for full-duplex radios is known as the self-interference cancelation. When a full-duplex radio transmits, it causes self-interferencewhichmust be canceled satisfactorily. ... |

11 |
Residual self-interference in full-duplex MIMO relays after null-space projection and cancellation,” in
- Riihonen, Werner, et al.
- 2010
(Show Context)
Citation Context ... approach is that the self-interference can be cancelled at the front-end of the receiver by generating a cancellation signal based on the transmit signal in the baseband. For example, the authors in =-=[20]-=-, [22] propose null-space projection and minimum mean-squared error (MMSE) filters for spatial self-interference suppression. In [23], an interference nulling algorithm is proposed through the optimiz... |

9 | A method for broadband full-duplex mimo radio - Hua, Liang, et al. - 2012 |

9 | A spatial-domain joint-nulling method of self-interference in fullduplex relays,” - Chun, Park - 2012 |

8 |
Hardware phenomenological effects on cochannel full-duplex MIMO relay performance
- Bliss, Hancock, et al.
- 2012
(Show Context)
Citation Context ...ed signal, which is also pointed out in [28]. In addition, the approximation of the effects of nonlinearities in [26], [27] is valid only if higher order nonlinearities are contributing significantly =-=[29]-=-, which is not the model we are considering in this paper. This invariant transmission noise model has been commonly used in other papers [20], [22], [29]–[32].2 By exploiting both spatial and tempora... |

7 | Comparison of full-duplex and half-duplex modes with a fixed amplify-and-forward relay,” in
- Riihonen, Werner, et al.
- 2009
(Show Context)
Citation Context ...ich transmits and receives using two different channels (in time or frequency). A full-duplex relay can transmit and receive using a single frequency at the same time and is more spectrally efficient =-=[2]-=-, [3]. Bi-directional communication is commonly required in virtually all modern communication systems, where two terminals exchange information with each other. Currently, all bi-directional systems ... |

7 | Optimal dynamic power control for full-duplex bidirectional-channel based wireless networks - Cheng, Zhang, et al. - 2013 |

7 | Full-duplex MIMO radios,” in
- Bharadia, Katti
- 2014
(Show Context)
Citation Context ...on requires IEEE permission. See http://www.ieee.org/publications_standards/publications/rights/index.html for more information. CIRIK et al.: ACHIEVABLE RATES OF FULL-DUPLEX MIMO RADIOS 3875 in [12]–=-=[16]-=-, respectively. The works shown in [9]–[13] assume that the interference channel is allpass. Broadband analog cancelation for frequency-selective interference channels was demonstrated in [14]–[17]. T... |

6 | Transmit power optimization for multiantenna decode-and-forward relays with loopback self-interference from full-duplex operation - Riihonen, Werner, et al. - 2011 |

6 | Optimal eigenbeamforming for suppressing selfinterference - Riihonen, Balakrishnan, et al. - 2011 |

6 | Space-time power schedule for distributed MIMO links without instantaneous channel state information at the transmitting nodes
- Rong, Hua, et al.
- 2008
(Show Context)
Citation Context ...es of using L’Hospital’s rule. However, for numerical evaluation, it is sufficient to slightly and randomly perturb these identical values of , since all functions are continuous and is deterministic =-=[46]-=-. The same assumption holds for as well. IV. MAXIMIZATION OF THE SUM ERGODIC MUTUAL INFORMATION In this section, we aim at maximizing the sum ergodic mutual information (5) by choosing the transmit co... |

5 |
Effects of channel estimation error on full-duplex two-way networks,”
- Kim, Ju, et al.
- 2013
(Show Context)
Citation Context ...hich requires two different channels for two opposite directions. A full-duplex bi-directional system uses a single frequency at the same time for both directions and is twice as spectrally efficient =-=[4]-=-–[6]. Among the earliest works on full-duplex radio is [7] where a narrowband (200 kHz) full-duplex radio testbed was reported. This research effort stayed almost dormant until the work [8] published ... |

5 | Fullduplex in large-scale wireless systems,” in - Yin, Wu, et al. - 2013 |

4 |
On achievable rate regions at large-system limit in full-duplex wireless local access,” in
- Vehkapera, Girnyk, et al.
- 2013
(Show Context)
Citation Context ...nearities are contributing significantly [29], which is not the model we are considering in this paper. This invariant transmission noise model has been commonly used in other papers [20], [22], [29]–=-=[32]-=-.2 By exploiting both spatial and temporal freedoms of the source covariance matrices of the MIMO links, the authors of [26] and [27] maximize the lower bound of the achievable rates for full-duplex M... |

3 |
Large-system analysis of rate regions in bidirectional full-duplex mimo link: Suppression versus cancellation
- Riihonen, Vehkapera, et al.
(Show Context)
Citation Context ... requires two different channels for two opposite directions. A full-duplex bi-directional system uses a single frequency at the same time for both directions and is twice as spectrally efficient [4]–=-=[6]-=-. Among the earliest works on full-duplex radio is [7] where a narrowband (200 kHz) full-duplex radio testbed was reported. This research effort stayed almost dormant until the work [8] published ten ... |

2 | Ergodic mutual information of fullduplex MIMO radios with residual self-interference
- Cirik, Rong, et al.
- 2013
(Show Context)
Citation Context ...ouncil’s Discovery Projects funding scheme (project number DP140102131). Part of this work was presented in the Asilomar Conference on Signals, Systems and Computers, Monterey, CA, USA, November 2013 =-=[1]-=-. A. C. Cirik was with the Department of Electrical Engineering, University of California, Riverside, CA 92521 USA. He is now with Centre for Wireless Communications, University of Oulu, Oulu 90570, F... |

2 |
Weighted-sum-rate maximization for bi-directional full-duplex MIMO systems
- Cirik, Wang, et al.
- 2013
(Show Context)
Citation Context ...for slow fading channels using gradient projection (GP) method under transmitter and receiver distortions, respectively. Using the same transmit/receive distortion model in [26], [27], the authors in =-=[33]-=- consider the weighted sum-rate (WSR) maximization problem subject to total power constraint of the full-duplex bi-directional MIMO system. Based on the relationship between WSR and weighted minimum m... |

2 |
MIMO transmission with residual Tx-RF impairments
- Studer, Wenk, et al.
- 2010
(Show Context)
Citation Context ... multiples of two time slots is tolerable. The quality of transmitted signals suffer from non-linear distortions in the power amplifier, phase noise, and IQ-imbalance [40]. The measurement results by =-=[41]-=- indicate that an i.i.d. additive Gaussian noise model accurately describes the sum of all such residual transmitter impairments. Such an assumption has also been commonly used in other FD papers [20]... |

2 | Space–time power scheduling of MIMO links—Fairness and QoS considerations
- Yue, Hua
- 2008
(Show Context)
Citation Context ...n by (26) where and are defined in (36) and (37) in Appendix, respectively. Note that since and are coefficients and are not functions of , they can be treated as constants in the gradient expression =-=[50]-=-. V. FULL-DUPLEX RELAY SYSTEMS In this section, we study the performance of a decode-and-forward FD relay system that suffers from self-interference, where all nodes are equipped with multiple antenna... |

1 | Sum-rate performance and impact of self-interference cancellation on full-duplex wireless systems - Herath, Le-Ngoc - 2013 |

1 | Asymptotic analysis of full-duplex bidirectional MIMO link with transmitter noise - Vehkaper, Riihonen, et al. - 2013 |

1 |
Capacity and optimal power allocation for fadingMIMO channels with channel estimation error
- Yoo, Goldsmith
- 2006
(Show Context)
Citation Context ...zero mean circularly symmetric complex Gaussian with variance , as opposed to non-i.i.d. channel estimation errors in [26], [27]. Note that is assumed to be known to both the transmitter and receiver =-=[39]-=-. We will assume that the channel matrices remain constant over two consecutive time slots, but change randomly over an interval of many multiples of two time slots. We will design the power schedule ... |