Power control for the additive white Gaussian noise channel under channel estimation errors

Klein, Thierry; Gallager, Robert G.

doi:10.1109/isit.2001.936167

Cited by 28 publications

(27 citation statements)

References 3 publications

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“…The latter is a variational problem, and we call μ Q (ŵ) the power control function, as in [13]. Said function imposes an average transmit power μ Q (ŵ) on the codebook to be used in conjunction with a specific channel estimateŵ.…”

Section: Problem Statementmentioning

confidence: 99%

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Optimal pilot design and power control in correlated MISO links

Pastore

Fonollosa

2012

2012 IEEE International Conference on Communications (ICC)

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We study the maximization of an achievable ergodic rate expression of a multiple-input single-output (MISO) channel where both ends are cognizant of the same erroneous estimate of the current fading state, yet they have complete knowledge of channel statistics. A training procedure estimates each channel state by means of dedicated pilot symbols whose sum energy is fixed, while for data transmission a fixed average energy per channel access (i.e., average power) is available. The optimization consists, on one hand, in finding the optimal beamforming strategy and temporal power control policy, and on the other hand, in optimally constructing the pilot sequence according to the channel's correlation structure.Peer ReviewedPostprint (published version

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Section: Problem Statementmentioning

confidence: 99%

“…Following ideas from [13], [4], we characterize the optimal power allocation strategy μ Q (ŵ) over time, which is the solution to the variational problem…”

Section: A Optimal Power Control Functionmentioning

confidence: 99%

Optimal pilot design and power control in correlated MISO links

Pastore

Fonollosa

2012

2012 IEEE International Conference on Communications (ICC)

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“…Note that the mean square error of the channel estimation process can be further decreased by choosing the training signal S to minimize (9). In addition, it is stated in [11] that the training signal S primarily affects the achievable rate through the so called effective signal-to-noise ratio, which is shown to be inversely proportional to the MMSE [11].…”

Section: A Training and Channel Estimation Phasementioning

confidence: 99%

Optimizing the rate of a correlated MIMO link jointly over channel estimation and data transmission parameters

Soysal

Ulukuş

2008

2008 42nd Annual Conference on Information Sciences and Systems

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Abstract-We consider a single-user correlated MIMO channel with block fading, where each block is divided into training and data transmission phases. The receiver has a noisy CSI that it obtains through a channel estimation process, while the transmitter has partial CSI in the form of covariance feedback. We optimize the achievable rate jointly over the parameters of the training and data transmission phases. In particular, we first choose the training signal to minimize the channel estimation error, and then, develop an iterative algorithm to solve for the optimum training duration, the optimum allocation of power between training and data transmission phases, and the optimum allocation of power over the antennas during the data transmission phase.

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“…In [6] the authors characterized the Shannon capacity of a conventional single-input single-output (SISO) network under imperfect channel estimation. A related power allocation strategy that maximizes the achieved capacity of SISO with imperfect channel estimation has been proposed in [7]. The impact of an imperfect channel estimation on the capacity performance of a MIMO network as well as a related waterfilling power allocation (WF-PA) strategy have been proposed in [8].…”

Section: Introductionmentioning

confidence: 99%

MIMO two-way relay channel with superposition coding and imperfect channel estimation

Krikidis

John

2010

2010 IEEE Globecom Workshops

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This paper deals with the superposition coding (SPC) scheme in multiple-input multiple-output two-way relay channels subject to imperfect channel estimation. We determine the achievable rate region and the related channel estimation error degradation and we show how the available power is split between the two bi-directional data flows in order to maximize the system performance and to support fairness. Two main SPC techniques are investigated: (a) SPC without channel state information (CSI) at the users, (b) SPC with CSI at the users where a waterfilling power allocation is employed. We demonstrate that CSI significantly improves the achievable rate at low signal-to-noise ratios (SNRs) while it becomes less critical at high SNRs. Furthermore, a SPC power allocation that incorporates the average channel statistics and is independent on the instantaneous channel conditions as well as on the CSI is also proposed.Index Terms-Two-way relay channel, waterfilling power allocation, channel estimation error, achievable rate region. I. INTRODUCTIONThe two-way relay channel is an important information theoretic network structure [1]. It consists of two users that establish communication via a shared relay node and characterizes networks with central controllers as well as ad-hoc networks with limited relaying resources. Recently there is a lot of interest in the design of efficient cooperative protocols for two-way relay channels. The proposed schemes can be divided into two main categories based on the number of the required time phases: (a) In the two phase protocol, called Multiple Access Broadcast (MABC) protocol [2], both users simultaneously transmit their data during the first phase and the relay alone transmits during the second phase, while (b) in the three phase protocol the two users sequentially transmit followed by a transmission from the relay [3]. Furthermore, each protocol category can be combined with any relaying strategy resulting in numerous two-way protocols with different complexities and performance. In [4] the authors highlight the most significant two-way relaying protocols and characterize their achievable rate region from an information theoretic point of view. An interesting MABC two-way scheme that employs superposition coding (SPC) at the relay node has been proposed in [5], where the authors analyze its capacity performance for a general Multiple-input multipleoutput (MIMO) two-way relay channel with different channelside information (CSI) requirements.

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Power control for the additive white Gaussian noise channel under channel estimation errors

Cited by 28 publications

References 3 publications

Optimal pilot design and power control in correlated MISO links

Optimal pilot design and power control in correlated MISO links

Optimizing the rate of a correlated MIMO link jointly over channel estimation and data transmission parameters

MIMO two-way relay channel with superposition coding and imperfect channel estimation

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