Block Diagonal GMD for Zero-Padded MIMO Frequency Selective Channels

Weng, Ching-Chih; Vaidyanathan, P.P.

doi:10.1109/tsp.2010.2090522

Cited by 12 publications

(24 citation statements)

References 33 publications

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“…The proof can be found in [10]. The above two theorems facilitate the derivation of the third theorem, which states the asymptotic optimality of the ZF-BD-GMD transceiver.…”

Section: Theorem 32mentioning

confidence: 94%

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Block diagonal GMD for zero-padded mimo frequency selective channels with zero-forcing DFE

Weng

Vaidyanathan

2010

2010 IEEE International Conference on Acoustics, Speech and Signal Processing

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In the class of systems with linear precoder and zeroforcing (ZF) DFE for zero-padded MIMO frequency selective channels, existing optimal transceiver designs present two major drawbacks. First, the optimal system requires a large number of bits to encode the full precoding matrix. Second, the full precoding matrix leads to complex computations. These disadvantages become more severe as bandwidth (BW) efficiency increases. In this article, we propose using the block diagonal geometric mean decomposition (BD-GMD) technique to design an alternative transceiver. The proposed ZF-BD-GMD system uses a block diagonal orthogonal precoder matrix structure to reduce the required number of encoding bits and simplifies the computation. While solving the current optimal system's drawbacks, the ZF-BD-GMD system also produces a similar bit error rate (BER) performance when the block size is large. In other words, the ZF-BD-GMD system is asymptotically optimal in the class of communication systems with linear precoder and ZF-DFE receiver.

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“…The proof can be found in [10]. The above two theorems facilitate the derivation of the third theorem, which states the asymptotic optimality of the ZF-BD-GMD transceiver.…”

Section: Theorem 32mentioning

confidence: 94%

“…Based on the Block Toeplitz structure of H ZP,m , we can write where the last inequality follows from Lemma 1 in [10]. Therefore, we are able to establish the inequalitỹ…”

Section: Zero Forcing Bd-gmd Systemmentioning

confidence: 96%

Block diagonal GMD for zero-padded mimo frequency selective channels with zero-forcing DFE

Weng

Vaidyanathan

2010

2010 IEEE International Conference on Acoustics, Speech and Signal Processing

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“…Therefore, the equivalent channel matrices often contain columns larger than two in general. In particular, when the multicasting system encounters MIMO frequency-selective fading channels for all users, the dimensions of the equivalent channel matrices will dramatically increase, which will cause an inefficient use of JET at least for two aspects [12]: (1) the multiplication complexity equals O(M 2 ) while directly using a full-size unitary precoding matrix, which will increase with the increase of M, and (2) the requirement of feedback bits from the receiver will also increase with the increase of M for encoding the precoding matrix.…”

Section: The Proposed Precoding Schemementioning

confidence: 99%

“…Obtain the angular parameters θ and ψ by x, then calculate P k according to (5); Update {H i } 2 i=1 using (16); 11 end 12 Set P = diag(P 1 , P 2 , . .…”

Section: Algorithm 1: the Proposed Schemementioning

confidence: 99%

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An improved block diagonal precoding scheme for MIMO multicast channel with two users

Zhang

2014

EURASIP J. Adv. Signal Process.

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Matrix theory plays an important role in precoding methodology for multiple input multiple output (MIMO) systems. In this paper, an improved block diagonal (BD) precoding scheme is proposed for a MIMO multicast channel with two users, where the unitary precoding matrix is constructed in a block-wise form by joint triangularization decomposition. In order to reduce large signal-to-noise ratios (SNRs) spread across different transmitted data streams and users, the combination of joint equi-diagonal triangularization (JET) and joint geometric mean decomposition (JGMD) is applied to submatrix construction in the inner process of this precoding scheme. An elaborate implementation is presented, and the existence condition of JGMD is also investigated for two complex-valued matrices with two columns, where the analytical result reveals the connection with the particular channel realization and essentially determines when to consider JGMD for submatrix construction. In addition, the properties of the diagonal elements generated by joint triangularization decomposition are discussed as well as the computational complexity of the proposed scheme. Simulation results indicate that in general, JGMD is employed with high probability in the hybrid model, and the proposed scheme readily outperforms the JET scheme in terms of bit error rate (BER) performance in the moderate to high SNR regimes.

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Adaptive modulation and decision feedback equalization for frequency‐selective MIMO channels

Ammari

Zaouali

Fortier

2013

Int J Communication

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SUMMARYIn this paper, an adaptive modulation scheme for the multiple‐input multiple‐output (MIMO) frequency‐selective channels is investigated. We consider a scenario with precoded block‐based transceivers over spatially correlated Rayleigh multipath MIMO channels. To eliminate the inter‐block interference, the zero‐padding is used. The receiver is equipped with a MIMO minimum‐mean‐squared‐error decision feedback equalizer. The precoder aims to force each subchannel to have an identical signal‐to‐interference‐plus‐noise ratio (SINR). To adjust the constellation size, the unbiased mean square error at the equalizer output is sent back to the transmitter. To simplify our analysis, the feedback channel is considered as instantaneous and error free. We first derive the probability density function of the overall SINR for flat fading and frequency‐selective channels. On the basis of the probability density function of the upper bound of the SINR, we evaluate the system performance. We present accurate closed‐form expressions of the average spectral efficiency, the average bit error rate and the outage probability. The derived expressions are compared with Monte Carlo simulation results. Furthermore, we analyze the effect of the channel spatial correlation. Copyright © 2013 John Wiley & Sons, Ltd.

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Block Diagonal GMD for Zero-Padded MIMO Frequency Selective Channels

Cited by 12 publications

References 33 publications

Block diagonal GMD for zero-padded mimo frequency selective channels with zero-forcing DFE

Block diagonal GMD for zero-padded mimo frequency selective channels with zero-forcing DFE

An improved block diagonal precoding scheme for MIMO multicast channel with two users

Adaptive modulation and decision feedback equalization for frequency‐selective MIMO channels

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