MMSE-based lattice-reduction for near-ML detection of MIMO systems

Wübben, Dirk; Böhnke, R.; Kühn, Volker; Kammeyer, Karl‐Dirk

doi:10.1109/wsa.2004.1407656

Cited by 89 publications

(115 citation statements)

References 10 publications

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“…The signal detection using ) ( 0 k H produces less noise enhancement compared to that using H 0 (k) [6]. In this paper, we realize the LR by using the LLL algorithm [5].…”

Section: (A) Lr-zfdmentioning

confidence: 99%

“…(b) LR-MMSED For LR-MMSED, the (N r +U) × U channel gain matrix H ext (k) and the (N r +U) × 1 received signal vector Y ext (k) are introduced [6], [8]. They are given as (11) where I U is an U × U unit matrix and 0 U is an U × 1 vector whose elements are all 0.…”

Section: (A) Lr-zfdmentioning

confidence: 99%

“…Lattice reduction (LR) using Lenstra-LenstraLovasz (LLL) algorithm [5] is a promising technique to improve the performance of ZFD and MMSED [6]. The advantages of LR aided ZFD and MMSED are: they require only polynomial time algorithms [5] and always achieve the full diversity order irrespective of the number of users [7].…”

Section: Introductionmentioning

confidence: 99%

“…H 0 and its lattice reduced matrix 0 H are related as [6] T H H where T is a unimodular matrix [6], which consists of only Gaussian integer and its determinant is 1 or −1.…”

mentioning

confidence: 99%

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Lattice Reduction-Aided Uplink Multi-User MIMO in OFDM Cellular Systems

Masashi

Takeda

Adachi

2010

2010 IEEE 72nd Vehicular Technology Conference - Fall

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Abstract-In cellular systems, multi-user multi-input multioutput (MIMO) multiplexing can increase the number of simultaneous users per cell; however co-channel interference (CCI) from other cells limits the number of users/cell (defined as the cellular capacity). The well-known zero-forcing detection (ZFD) and minimum mean square error detection (MMSED) are computationally efficient detection methods, but their diversity order decreases as the number of users increases. The multi-user signal detection method which has the full diversity order and less complexity is required in order to enhance the cellular capacity. In this paper, we introduce the lattice reduction (LR) aided ZFD and MMSED to the uplink multi-user MIMO using orthogonal frequency division multiplexing (OFDM) and investigate the uplink cellular capacity. LR using LenstraLenstra-Lovasz (LLL) algorithm is a promising technique to improve the performance of ZFD and MMSED. We show that LR aided ZFD and MMSED can obtain larger uplink capacity than conventional ZFD and MMSED at the cost of relatively low increase of computational complexity.

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“…The signal detection using ) ( 0 k H produces less noise enhancement compared to that using H 0 (k) [6]. In this paper, we realize the LR by using the LLL algorithm [5].…”

Section: (A) Lr-zfdmentioning

confidence: 99%

Section: (A) Lr-zfdmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

“…H 0 and its lattice reduced matrix 0 H are related as [6] T H H where T is a unimodular matrix [6], which consists of only Gaussian integer and its determinant is 1 or −1.…”

mentioning

confidence: 99%

See 2 more Smart Citations

Lattice Reduction-Aided Uplink Multi-User MIMO in OFDM Cellular Systems

Masashi

Takeda

Adachi

2010

2010 IEEE 72nd Vehicular Technology Conference - Fall

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“…One of the most interesting topics is the eigenanalysis of the MIMO correlation matrix and especially the statistical determination of its condition number, commonly defined as the ratio of the largest to the smallest eigenvalue. In the MIMO context, the condition number indicates the multipath richness of the channel [3] and has also been shown to drastically affect the detection and error performance in spatial multiplexing (SM) systems [4], [5]. Hence, a detailed knowledge of the condition number statistics is highly desirable since it will offer a deeper insight into the efficient characterization of the promising MIMO technology.…”

mentioning

confidence: 99%

On analytical derivations of the condition number distributions of dual non-central Wishart matrices

Matthaiou

Laurenson

Wang

2009

IEEE Trans. Wireless Commun.

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Abstract-In this paper, we explore the statistical characterization of Multiple-Input Multiple-Output (MIMO) channel correlation matrices with the main focus being on their condition number statistics. More specifically, novel expressions are derived for the probability density function (PDF) and cumulative distribution function (CDF) of the MIMO condition number. Contrary to the majority of related studies, where only the common case of Rayleigh fading was considered, our investigation is extended to account for the generalized case of Ricean fading where a deterministic Line-of-Sight (LoS) component exists in the communication link. The overall analysis is based on the principles of random matrix theory and particularly of dual complex noncentral Wishart matrices; the latter represent a practical class of MIMO systems, namely dual-branch systems which are equipped with two transmit and receive antenna elements. All the derived formulae are validated through extensive simulations with the attained accuracy being remarkably good.

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