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## On Optimum Power Allocation for the V-BLAST

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Venue: | IEEE Trans. Communications, submitted |

Citations: | 11 - 11 self |

### Citations

7397 | Convex Optimization
- Boyd, Vandenberghe
- 2004
(Show Context)
Citation Context ...que for arbitrary SNR. Closed-form analytical solution is not feasible due to the complexity of the problem11 . Since the problem is convex, efficient numerical algorithms can be employed to solve it =-=[9]-=-. At high SNR mode, an accurate approximate closed-form solution can be obtained using the Newton-Raphson method. As in the case of BLER-based optimization, the 1st step BER has the dominant effect on... |

1560 |
Digital Communications
- Proakis
- 1983
(Show Context)
Citation Context ...the average conditional error rate at step i, which is the same as the average error rate with (n−m+ i)-th order maximum ratio combining (MRC), and is known in closed form for many modulation formats =-=[18]-=-. Specifically, for BPSK modulation, where P ei = P MRC (n−m+i) (αiγ0) = = [ ]n−m+i 1−μi 2 n−m+i−1 ∑ μi = √ αiγ0 k=0 1+αiγ0 C k n−m+i−1+k , C k n = [ ]k 1+μi 2 n! k!(n − k)! , γ0 =1/σ2 0 and αiγ0 are ... |

349 |
Digital Communication Over Fading Channels
- Simon, Alouini
- 2002
(Show Context)
Citation Context ...,α) /∂α < 0 (49) This property is supported by the results in [6], [8], and also by extensive results in the literature on the error rate performance of diversity systems with co-channel interference =-=[10]-=--[13] 15 , since the error propagation in V-BLAST effectively “creates” co-channel interference and thus it is similar to diversity combining with interference. Note that since all the Tx powers are i... |

297 |
Mathematical Handbook for Scientists and Engineers
- Korn, Korn
- 1968
(Show Context)
Citation Context ...tion for x: m∑ (4γ0) − i=1 ci = n−m+i n−m+i+1 aixci = m, (n +1)! (n − m +1)!(n − m + i +1) (A3)KOSTINA and LOYKA: ON OPTIMUM POWER ALLOCATION FOR THE V-BLAST 1011 Following the Newton-Raphson method =-=[17]-=-, the zero-order approximate solution to (A3) is found when all only the leading term (i =1)is kept in (A3), x0 = c √ 1 m (4γ0) n−m+1 n−m+2 /a1 (A4) First-order approximate solution can be written as ... |

111 |
Molisch, Wireless communications
- F
- 2010
(Show Context)
Citation Context ...is a simpler design of a power amplifier. Note, however, that all the power allocation algorithms discussed in this paper are compatible with 2G and 3G systems, which employ dynamic power control [20]=-=[21]-=-. The proposed algorithms can also accommodate a number of fixed (discrete) power levels, which are used in 2G and 3G systems instead of continuous power allocation, because of algorithms’ robustness,... |

56 | Performance analysis of the V-BLAST algorithm: An analytical approach
- Loyka
- 2004
(Show Context)
Citation Context ...(a) and 6(b), both gains are close to each other at a practical SNR range. The SNR gain of the optimum power allocation is almost the same, at high SNR, as that of the optimal ordering procedure (see =-=[7]-=- for details). The computational complexity, however, of the former is much less than that of the latter. Hence, the average power optimization can be used instead of the optimal ordering with roughly... |

48 |
On the relation between V-BLAST and the GDFE
- Ginis, Cioffi
- 2001
(Show Context)
Citation Context ...rk, by properly re-defining A. 5 While [6] considers the QR-based V-BLAST, it can be shown that its performance is identical to the regular (zero-forcing successive interference cancellation) V-BLAST =-=[14]-=-, [8].KOSTINA and LOYKA: ON OPTIMUM POWER ALLOCATION FOR THE V-BLAST 1001 as [6]-[8], PB =1− m∏ (1 − Pei) (2) k=1 where Pei = Pe (γi) is the instantaneous, i.e. for given channel realization, conditi... |

39 | Performance analysis of maximal ratio combining and comparison with optimum combining for mobile radio communications with cochannel interference,” - Shah, Haimovich - 2000 |

33 | Analysis of decision feedback detection for mimo Rayleigh-fading channels and the optimization of power and rate allocations
- Prasad, Varanasi
- 2004
(Show Context)
Citation Context ...or some applications. Since the successive interference cancellation is used, lower detection steps have on average a smaller SNR and thus produce more errors, which further propagate to higher steps =-=[6]-=-, [8] so that the overall error performance may be not satisfactory, especially if no coding is used. A popular approach to improve the error performance of the V-BLAST algorithm is to decrease the er... |

14 |
Transmit Power Allocation for a Modified V-BLAST System
- Nam, Shin, et al.
- 2004
(Show Context)
Citation Context ... 2008 IEEE find the transmit (Tx) power allocation that minimizes the instantaneous (i.e. for given channel realization) total error rate (TBER) 2 of the V-BLAST, with or without the optimal ordering =-=[3]-=--[5]. The approximate solutions for the instantaneous Tx power allocation have also been found [3]-[5], based on various approximations. In [2], the instantaneous BLER 2 (rather than the TBER) is cons... |

14 | V-BLAST without optimal ordering: analytical performance evaluation for Rayleigh fading channels
- Loyka, Gagon
- 2006
(Show Context)
Citation Context ...me applications. Since the successive interference cancellation is used, lower detection steps have on average a smaller SNR and thus produce more errors, which further propagate to higher steps [6], =-=[8]-=- so that the overall error performance may be not satisfactory, especially if no coding is used. A popular approach to improve the error performance of the V-BLAST algorithm is to decrease the error r... |

13 |
New Approach to Error Compensation in Coded V-BLAST
- Lee, Lee
- 2007
(Show Context)
Citation Context ...o, Canada, K1N 6N5 (e-mail: sergey.loyka@ieee.org). Digital Object Identifier 10.1109/TCOMM.2008.060517. 1 A different approach to reduce the effect of error propagation has been recently proposed in =-=[22]-=-. 0090-6778/08$25.00 c○ 2008 IEEE find the transmit (Tx) power allocation that minimizes the instantaneous (i.e. for given channel realization) total error rate (TBER) 2 of the V-BLAST, with or withou... |

11 |
Foschini et al., “Simplified Processing for High Spectral Efficiency Wireless Communications employing multi-element arrays
- J
- 1999
(Show Context)
Citation Context ...exhibits only a minor loss in performance over the practical SNR range. Index Terms—Multi-antenna (MIMO) system, V-BLAST, power allocation, performance analysis. I. INTRODUCTION THE V-BLAST algorithm =-=[1]-=- has attracted in recent years significant attention as a signal processing strategy in the MIMO receiver due to its relative simplicity and also the ability to achieve, under certain conditions, the ... |

10 | Error rates of the maximumlikelihood detector for arbitrary constellations: convex/concave behavior and applications,”
- Loyka, Kostina, et al.
- 1948
(Show Context)
Citation Context ...n as well, by noting that Q( √ γ) is a convex function. We note that this result also extends, in a non-trivial way, to any 1-D or 2-D constellation, and also to some multi-dimensional constellations =-=[15]-=-.KOSTINA and LOYKA: ON OPTIMUM POWER ALLOCATION FOR THE V-BLAST 1003 technique for constrained optimization with the following Lagrangian9 , (∑m ) L (α) =P B (α)+λ , (16) the optimum α are found from... |

9 |
Nulling and cancellation detector for MIMO channels and its application to multistage receiver for coded signals: Performance and optimization
- Choi
- 2006
(Show Context)
Citation Context ...i.e. almost all the power goes to the 1st Tx as γ0 →∞,and α opt 1 is quite close to m for finite but large γ0. Referring to 9similar approach to optimization of power allocation has been developed in =-=[19]-=-. 10strictly speaking, an additional constraint αi ≥ 0, i =1...m, is required. However, since our solutions always satisfy it, we do not include it explicitly. (13), this is explained by the fact that... |

8 |
Optimum power allocation for a V-BLAST system with two antennas at the transmitter
- Kalbasi, Falconer, et al.
- 2005
(Show Context)
Citation Context ...) 2 of the V-BLAST, with or without the optimal ordering [3]-[5]. The approximate solutions for the instantaneous Tx power allocation have also been found [3]-[5], based on various approximations. In =-=[2]-=-, the instantaneous BLER 2 (rather than the TBER) is considered as an optimization criterion, and the optimum Tx power allocation is found numerically for the V-BLAST with two transmitters. Although t... |

8 | Error probability for optimum combining of M-ary PSK signals in the presence of interference and noise
- Chiani, Win, et al.
(Show Context)
Citation Context ...∂α < 0 (49) This property is supported by the results in [6], [8], and also by extensive results in the literature on the error rate performance of diversity systems with co-channel interference [10]-=-=[13]-=- 15 , since the error propagation in V-BLAST effectively “creates” co-channel interference and thus it is similar to diversity combining with interference. Note that since all the Tx powers are increa... |

6 | Analytical framework for outage and BER analysis of the VBLAST algorithm
- Loyka, Gagnon
- 2004
(Show Context)
Citation Context ...considered as an alternative to the optimal ordering, and (ii) the optimal ordering presents serious difficulties for analytical performance evaluation, especially when no approximations are used [8],=-=[16]-=-. Similar approach has been used in [6], where the optimum power and rate allocation technique, based on minimizing the average error rate for fixed total data rate, has been proposed. However, only n... |

4 | Minimum BER transmit power allocation and beamforming for two-input-multiple-output spatial multiplexing systems,”
- Wang, Blostein
- 2007
(Show Context)
Citation Context ...8 IEEE find the transmit (Tx) power allocation that minimizes the instantaneous (i.e. for given channel realization) total error rate (TBER) 2 of the V-BLAST, with or without the optimal ordering [3]-=-=[5]-=-. The approximate solutions for the instantaneous Tx power allocation have also been found [3]-[5], based on various approximations. In [2], the instantaneous BLER 2 (rather than the TBER) is consider... |

3 | Minimum BER Transmit Power Allocation for MIMO Spatial Multiplexing Systems - Wang, Blostein - 2005 |

1 | Closed-form expressions of approximate error rates for optimum combining with multiple interferers in a Rayleigh fading channel - Kwak, Lee - 2006 |

1 |
Power Control, inJ.D.Gibson(Ed.),Communications Handbook
- Pichna, Wang
- 2002
(Show Context)
Citation Context ...ion is a simpler design of a power amplifier. Note, however, that all the power allocation algorithms discussed in this paper are compatible with 2G and 3G systems, which employ dynamic power control =-=[20]-=-[21]. The proposed algorithms can also accommodate a number of fixed (discrete) power levels, which are used in 2G and 3G systems instead of continuous power allocation, because of algorithms’ robustn... |