MMSE Beamforming for SC-FDMA Transmission over MIMO ISI Channels

Dang, Uyen Ly; Ruder, Michael A.; Schober, Robert; Gerstacker, Wolfgang H.

doi:10.1155/2011/614571

Cited by 14 publications

(10 citation statements)

References 17 publications

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“…Because of the monotonicity of the logarithm, this has no effect on the optimal solution. We note that all objective functions in (23) are monotonically decreasing function of Ψ k . This property facilitates a unified treatment of rBF matrix optimization for all considered SC receiver structures.…”

Section: Objective Function For Rbf Matrix Optimizationmentioning

confidence: 99%

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Cooperative Beamforming for Single-Carrier Frequency-Domain Equalization Systems with Multiple Relays

Schober

2012

IEEE Trans. Wireless Commun.

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We consider cooperative beamforming (BF) for block-based single-carrier frequency-domain equalization (SC-FDE) in a wireless network consisting of one single-antenna source, one single-antenna destination, and multiple multiantenna relays. Adopting the minimum mean squared error as optimality criterion, the optimal frequency-domain linear equalization (LE) and decision-feedback equalization (DFE) receivers are derived and corresponding objective functions for relay BF matrix optimization are specified. For a sum relay power constraint, we obtain the structure of the optimal relay BF matrices in closed form. While the structure of the optimal relay BF matrices is identical for LE and DFE as well as for an idealized matched filter receiver, the solution of the remaining power allocation problem depends on the adopted receiver. The power allocation problem is shown to be convex for all considered receivers and an efficient numerical algorithm for finding the optimal power allocation is provided. Furthermore, to reduce complexity, two suboptimal power allocation schemes assigning identical powers to all relays and/or frequencies are proposed and shown to lead to only a small loss in performance and a remarkable robustness against imperfect channel state information.Index Terms-Multiple-relay networks, cooperative beamforming, single-carrier frequency-domain equalization.

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Section: Objective Function For Rbf Matrix Optimizationmentioning

confidence: 99%

“…We note that this algorithm is not limited to the objective functions given in (23) but is applicable to all objective functions which are convex in P.…”

Section: Optimal Power Allocation (Opa)mentioning

confidence: 99%

Cooperative Beamforming for Single-Carrier Frequency-Domain Equalization Systems with Multiple Relays

Schober

2012

IEEE Trans. Wireless Commun.

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“…It should be noted that for linear equalization power has to be allocated mainly to subcarriers where the channel frequency response is weak, cf. [3], whereas for DFE mainly the strong subcarriers are used. Only for 2 → 0, a flat transmit spectrum results.…”

Section: Mmse-dfe For Sc-fdmamentioning

confidence: 99%

“…has been proposed in [3]. In this paper, we design the frequency response of a cyclic spatio-temporal beamforming filter optimizing the performance of MMSE-DFE for a given transmit power constraint.…”

Section: Introductionmentioning

confidence: 99%

Beamforming for SC-FDMA transmission over MIMO ISI channels with decision-feedback equalization

Dang

Ruder

Gerstacker

et al. 2010

2010 International ITG Workshop on Smart Antennas (WSA)

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Abstract-We consider transmit beamforming algorithms for single-carrier frequency-division multiple access (SC-FDMA) transmission over frequency-selective multiple-input multipleoutput (MIMO) channels. The beamforming filters are designed for optimum performance of MIMO minimum mean-squared error decision-feedback equalization (MMSE-DFE). It turns out that eigenbeamforming diagonalizing the overall channel is optimum, and in addition an optimum power allocation has to be performed which is similar in spirit to classical results for the optimum continuous-time transmit filter for linear modulation formats obtained by Yang and Roy. Simulation results indicate that the proposed solution is beneficial for the block error rate performance of an SC-FDMA transmission scheme with strong channel coding and error-free decisions in the feedback path of MMSE-DFE, which can be guaranteed e.g. by equivalent Tomlinson-Harashima precoding at the transmitter side.

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“…The paper by Dang, Ruder, Schober and Gerstacker [8], "MMSE Beamforming for SC-FDMA Transmission over MIMO ISI Channels", derives minimum mean squared error beamforming strategies for multi-antenna reception, as well as further modifications to reduce the transmitted peak to average power ratios.…”

mentioning

confidence: 99%

Advances in single carrier block modulation with frequency domain processing

Bar-Ness

Adachi

Dhahir

et al. 2012

EURASIP J. Adv. Signal Process.

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This special issue focuses on single carrier block modulation (SC-BM) with frequency domain processing. This class of modulation and multiple access schemes complements the orthogonal frequency division multiple access (OFDMA) and its variations. For example, LTE (the long term evolution of the 3GPP standard), and LTE-Advanced, employ OFDMA in the downlink (base stations to mobiles) and SC-FDMA, a version of SC-BM in the uplink (mobiles to base stations). The main reason for adapting the technology of SC-FDMA for uplink LTE is the fact that OFDMA has high "peak-to-average power ratio" (PAPR), which is a disadvantage for mobile devices that are limited by power availability. Besides its advantage of low PAPR, SC-BM technology has a similar performance/complexity to that of OFDMA, and simple frequency domain equalization methods for combating dispersive channels.There were 17 papers submitted to this special issue. All had merits, but the review process reduced the number of accepted papers to 9. The accepted papers cover a number of novel and advanced aspects of single carrier block modulation with frequency domain processing: near-optimal nonlinear and iterative equalization techniques; applications to CDMA, MIMO and ARQ; channel estimation; and application to free-space optical transmission. Following is a summary of the papers.In the paper "Iterative Successive Interference Cancellation for Quasi-Synchronous Block Spread CDMA Based on the Orders of the Times of Arrival", Wang, Bocus, and Coon [1] describe an interference cancellation scheme based on the times of arrival of the signals from different users, and they show that for practical channels this ordering criterion is equivalent to ordering with respect to decreasing average SINR.In "Complexity Reduced MLD Based on QR Decomposition in OFDM MIMO Multiplexing with Frequency Domain Spreading and Code Multiplexing", Nagatomi, Kawai, and Higuchi [2] propose a reduced-complexity maximum likelihood signal detection method for MIMO-OFDM systems with frequency-domain spreading and code multiplexing. They show how to exploit signal orthogonalization based on QR decomposition of the product of the channel and spreading code matrices in the frequency domain to obtain significant complexity reductions.In "Frequency-domain Block Signal detection with QRM-MLD for Training Sequence-aided Single-carrier Transmission", Yamamoto, Takeda and Adachi [3] propose replacement of the cyclic prefix with a known training sequence. The object is to improve BER performance of an equalization scheme which uses QR decomposition with M-algorithm detection, while keeping the number of surviving paths low for reduced complexity. The scheme is especially effective for 16QAM and 64QAM modulation.The paper "Joint Iterative Tx/Rx MMSE-FDE and ISI Cancellation for Single-carrier Hybrid ARQ with Chase Combining" by Takeda and Adachi [4] applies transmitter and receiver equalization and iterative intersymbol interference cancellation to a system with hybrid ARQ transmission, Chase combining and...

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MMSE Beamforming for SC-FDMA Transmission over MIMO ISI Channels

Cited by 14 publications

References 17 publications

Cooperative Beamforming for Single-Carrier Frequency-Domain Equalization Systems with Multiple Relays

Cooperative Beamforming for Single-Carrier Frequency-Domain Equalization Systems with Multiple Relays

Beamforming for SC-FDMA transmission over MIMO ISI channels with decision-feedback equalization

Advances in single carrier block modulation with frequency domain processing

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