Optimal Minimum Distance-Based Precoder for MIMO Spatial Multiplexing Systems

Collin, Ludovic; Berder, Olivier; Rostaing, Philippe; Burel, Gilles

doi:10.1109/tsp.2003.822365

Cited by 160 publications

(141 citation statements)

References 18 publications

(37 reference statements)

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“…Hence, the average number of neighbors providing d min is given by N dmin = 1 16 (4 × 2 + 8 × 3 + 4 × 4) = 3. This value is less than the number of the minimum Euclidean distances obtained by the precoder F r1 presented in [7] (N dmin = 1 16 (4×2+4×3+4×4+4×5) = 3.5). However, the distances d min provided by two precoders remain very close.…”

Section: B For Qpsk Modulationmentioning

confidence: 80%

“…If perfect channel state information (CSI) is considered at both the transmitter and receiver, it was shown that the channel matrix can be diagonalized by using a virtual transformation [7]. The precoder and decoder matrices are then decomposed as…”

Section: System Modelmentioning

confidence: 99%

“…By using a singular value decomposition, the authors in [7] and [8] simplified the virtual channel and precoding matrices as…”

Section: Minimum Euclidean Distance On Precodermentioning

confidence: 99%

“…A numerical search over ψ and θ which optimize the minimum Euclidean distance for two independent datastreams shows that the N-d min precoder has the same form as the max-d min precoder presented in [7] …”

Section: A For Bpsk Modulationmentioning

confidence: 99%

“…These precoding matrices are all diagonal and lead to power allocation strategies. The authors in [7], [8], [9] proposed a non-diagonal precoder which is based on the maximization of the minimum Euclidean distance (d min ) between two received symbols. The max-d min precoder achieves a significant biterror-rate (BER) improvement in comparisons with diagonal precoders, especially when a ML detection is considered at the receiver.…”

Section: Introductionmentioning

confidence: 99%

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Reducing the number of neighbors in the received constellation of d<inf>min</inf> precoded MIMO systems

Ngo

Berder

Scalart

2011

2011 IEEE Wireless Communications and Networking Conference

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Abstract-Not only the minimum Euclidean distance but also the number of neighbors providing the dmin in the received constellation has an important role in reducing the error probability when Maximum Likelihood detection is considered. Assuming that the channel-state-information is available at the transmitter, a new precoder in which the rotation parameter has no influence is proposed for two independent data-streams. The expression of the new precoding strategy is less complex and the space of solution is, therefore, smaller. Simulation results over Rayleigh fading channel confirm a bit-error-rate improvement of the proposed solution in comparison with other precoders. The improvement depends on the channel characteristics and is more significant if the channel is dispersive.

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Section: B For Qpsk Modulationmentioning

confidence: 80%

Section: System Modelmentioning

confidence: 99%

“…By using a singular value decomposition, the authors in [7] and [8] simplified the virtual channel and precoding matrices as…”

Section: Minimum Euclidean Distance On Precodermentioning

confidence: 99%

Section: A For Bpsk Modulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Reducing the number of neighbors in the received constellation of d<inf>min</inf> precoded MIMO systems

Ngo

Berder

Scalart

2011

2011 IEEE Wireless Communications and Networking Conference

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Design of reduced complexity feedback precoding for MIMO‐OFDM

Ghirmai

2014

Int J Communication

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Beamforming technique is applied to significantly increase the performance of a MIMO system, if the channel information (CI) of the communication system is available at the transmitter. For the transmitter to obtain the entire CI, however, a considerable reverse-link bandwidth is required. To save the bandwidth, a limited-rate closed-loop system, therefore, uses a predetermined codebook which is derived from the CI. The codebook consists of a finite number of precoders out of which the index of the best one is transmitted from the receiver to the transmitter using only a few bits saving substantial bandwidth. However, the amount of bits that need to be fed back can still be significantly large for MIMO-OFDM systems when the precoding matrix index (PMI) for each subcarrier should be transmitted. Such per-subcarrier precoding scheme has high feedback overhead and also incurs huge computational cost to determine the best PMI for each subcarrier. We, therefore, propose a per-band precoding scheme that precodes a band (group) of subcarriers by only one precoder. More importantly, we develop, for the proposed per-band scheme, reduced-complexity precoding selection methods that lead to the design of efficient receivers. The effectiveness of the proposed scheme is investigated through computer simulations. 143When a MIMO transmitter obtains a channel information (CI), the performance of the communication system can be further enhanced [4][5][6]. The availability of the CI enables the transmitter to precode the data and beamform the transmitted signal in such a way that the signal eigen modes match to those of the channel modes [7]. Applying precoding decomposes the signal into orthogonal spatial eigen modes and it effectively decouples the channel into parallel subchannels that transmit independent signals. Such decoupling of the channel provides the ability to adapt the allocation of power to the eigen modes of the signal according to the strength of their corresponding channel modes [8,9]. Therefore, it is well known that precoding, or beamforming, along with an optimal power allocation scheme, water-filling, enables a MIMO system to achieve maximum capacity [10,11].In cellular time-division-duplex systems, the transmitter may be able to derive the forward CI, using the principle of reciprocity, from the estimates of the reverse channel. In cellular frequencydivision duplex systems, however, because reciprocity does not apply, the forward CI cannot be derived from the estimates of the reverse channel. An alternative approach would be to send back CI from receiver to transmitter over an additional reverse channel [12]. Feeding back the entire CI to the transmitter, however, would require a high-rate reverse channel which demands considerable additional transmission resource. Reducing the amount of feedback overhead has been a subject of a lot of research work, and, therefore, several methods have been proposed in the literature [13,14].A limited-feedback closed-loop MIMO system employs a codebook to represent the CI tha...

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Adding a Dimension with Multiple Antennas

Petré

2006

Broadband Fixed Wireless Access

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Optimal Minimum Distance-Based Precoder for MIMO Spatial Multiplexing Systems

Cited by 160 publications

References 18 publications

Reducing the number of neighbors in the received constellation of d<inf>min</inf> precoded MIMO systems

Reducing the number of neighbors in the received constellation of d<inf>min</inf> precoded MIMO systems

Design of reduced complexity feedback precoding for MIMO‐OFDM

Adding a Dimension with Multiple Antennas

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