Preconditioned and Rank-Flexible Block Conjugate Gradient Implementations of Mimo Wiener Decision Feedback Equalizers

Groh, Ingmar; Dietl, Guido; Utschick, Wolfgang

doi:10.1109/icassp.2006.1661000

Cited by 5 publications

(4 citation statements)

References 6 publications

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“…We consider the SINR performance versus the rank D. The maximum output SINR for MWSF is derived and analyzed in [10]. It is proved that the maximum output SINR is very close to minimum MSE.…”

Section: Rank Of the Filter Stagementioning

confidence: 98%

“…It has been shown that the performance of these algorithms is much better than that of traditional algorithms, but the complexity of them is relatively high. Moreover, a computationally efficient preconditioned block conjugate gradient (PBCG) algorithm is discussed in [10], which turns out to outperform the standard BCG algorithm concerning the complexity-performance ratio. The work of [11] applied RUMSWF to adaptive array, and the simulation results showed that the RUMSWF had superior performance.…”

Section: Introductionmentioning

confidence: 99%

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Rectangle blocking matrices based unitary multistage Wiener reduced-rank joint detection algorithm for multiple input multiple output systems

Ren

Wang

Zhang

2010

Sci. China Inf. Sci.

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Traditional equalization algorithms for multiple input multiple output (MIMO) systems suffer from high complexity and low convergence rate. So an improved adaptive reduced-rank joint detection algorithm of multistage Wiener filter (MSWF) based on rectangle blocking matrices is proposed. The MSWF is implemented by the correlation subtraction algorithm (CSA) structure and is called unitary multistage Wiener filter (UMSWF). The new scheme adopts rectangle submatrix as blocking matrix, which is chosen from the square blocking matrix for UMSWF. The proposed algorithm can reduce the size of the observation data vectors step by step in the forward recursion decomposition of UMSWF. Thus, the computational complexity is reduced and the convergence rate is increased. Theoretical analysis and simulation results show that this improved adaptive reduced-rank joint detection algorithm of UMSWF based on rectangle blocking matrix has better performance such as lower complexity and faster convergence rate. In particular, simulations are conducted in the verticalBell Labs layered space-time (V-BLAST) system which adopts BPSK modulation, where 4 and 8 antennas are equipped at the transmitter and receiver, respectively. Compared with traditional equalization algorithm based on UMSWF, our new method can achieve the same BER performance at high SNR with only 0.5 times that of computational complexity. Keywordsmultiple input multiple output (MIMO) systems, unitary multistage Wiener filter (UMSWF), joint detection, blocking matrix CitationRen P Y, Wang R, Zhang S J. Rectangle blocking matrices based unitary multistage Wiener reducedrank joint detection algorithm for multiple input multiple output systems.

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Section: Rank Of the Filter Stagementioning

confidence: 98%

Section: Introductionmentioning

confidence: 99%

Rectangle blocking matrices based unitary multistage Wiener reduced-rank joint detection algorithm for multiple input multiple output systems

Ren

Wang

Zhang

2010

Sci. China Inf. Sci.

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“…, M. A straightforward approach is to treat each system independently and apply to it the CG method presented in subsection III-A. However, more sophisticated methods have been proposed in the literature, and can be organized in two groups: the block-Krylov subspace solvers [9], and those using projections [7].…”

Section: B Solution Of Multiple Linear Systemsmentioning

confidence: 99%

Adaptive Conjugate Gradient DFEs for Wideband MIMO Systems Using Galerkin Projections

Kekatos

Lalos

Berberidis

2007

2007 IEEE 66th Vehicular Technology Conference

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Three new adaptive equalization algorithms for wireless systems operating over frequency selective MIMO channels are proposed. The problem of the MIMO DFE design is formulated as a set of linear equations with multiple right-hand sides (RHS) evolving in time. By applying an adaptive modified conjugate gradient algorithm, originally proposed for a single linear system, to the problem at hand, we arrive at an equalizer of performance identical to RLS, numerically robust, but of higher computational cost. To reduce its complexity, two updating strategies of the equalizer filters are derived based on Galerkin projection in time and space respectively. The two alternative schemes exhibit a complexity lower than RLS while offering slightly inferior convergence properties.

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“…The wellknown nonlinear Decision Feedback Equalizer (DFE) is used to improve this behavior in [7]. Moreover, a computationally efficient Preconditioned Block Conjugate Gradient (PBCG) algorithm is discussed in [8], which turns out to outperform the standard BCG algorithm concerning the complexityperformance ratio. The work of [9] applies RUMSWF to adaptive array, the simulation results show that the RUMSWF has superior performance.…”

Section: Introductionmentioning

confidence: 99%

Reduced-Rank Equalization of Unitary Multistage Wiener Filter Based on Rectangle Blocking Matrix for Multiple Input Multiple Output

Wang

Ren

Yin

2009

2009 5th International Conference on Wireless Communications, Networking and Mobile Computing

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Traditional equalization algorithms for Multiple Input Multiple Output (MIMO) Systems suffer from high complexity and low convergence rate. So it's necessary to develop an equalization algorithm to minimize the computational complexity and improve the convergence rate. This paper presents a new adaptive reduced-rank linear equalization algorithm, called Rectangle Unitary Multistage Wiener Filter Reduced-Rank Equalization (RUMSWFRE). In the equalization process, the rectangle blocking matrix is utilized by Multistage Wiener Filter and implemented by the Correlation Subtraction Algorithm. The new scheme uses a rectangle blocking matrix, which is chosen from the square blocking matrix of Unitary Multistage Wiener Filter (UMSWF). And it can reduce the size of observation data vectors step by step in the forward recursion decomposition of UMSWF. In this way, the computational complexity is reduced and the convergence rate becomes faster. Performance analysis and simulation results show that this proposed method yields similar error performance with much lower computational complexity and faster convergence rate compared with the traditional ones. Index Terms-Multiple Input Multiple Output (MIMO) Systems, Rectangle Unitary Multistage Wiener Filter (RUMSWF), Blocking matrix, Adaptive equalization.

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Preconditioned and Rank-Flexible Block Conjugate Gradient Implementations of Mimo Wiener Decision Feedback Equalizers

Cited by 5 publications

References 6 publications

Rectangle blocking matrices based unitary multistage Wiener reduced-rank joint detection algorithm for multiple input multiple output systems

Rectangle blocking matrices based unitary multistage Wiener reduced-rank joint detection algorithm for multiple input multiple output systems

Adaptive Conjugate Gradient DFEs for Wideband MIMO Systems Using Galerkin Projections

Reduced-Rank Equalization of Unitary Multistage Wiener Filter Based on Rectangle Blocking Matrix for Multiple Input Multiple Output

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